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211200022112220 = 2232529199203315449
BaseRepresentation
bin110000000001010111010110…
…010010110110011111011100
31000200210112011200011211122100
4300001113112102312133130
5210140300121130042340
62025103541205045100
762325461301432231
oct6001272622663734
91020715150154570
10211200022112220
1161327476566719
121b82bb900b6790
1390b00cc474a4b
143a221c8195788
151963be5ad9830
hexc015d64b67dc

211200022112220 has 144 divisors (see below), whose sum is σ = 666061414200000. Its totient is φ = 54104680498176.

The previous prime is 211200022112207. The next prime is 211200022112221. The reversal of 211200022112220 is 22211220002112.

It is a happy number.

211200022112220 is a `hidden beast` number, since 2 + 11 + 200 + 0 + 221 + 12 + 220 = 666.

211200022112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211200022112193 and 211200022112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200022112221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100618945 + ... + 102696504.

It is an arithmetic number, because the mean of its divisors is an integer number (4625426487500).

Almost surely, 2211200022112220 is an apocalyptic number.

211200022112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200022112220 is an abundant number, since it is smaller than the sum of its proper divisors (454861392087780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211200022112220 is a wasteful number, since it uses less digits than its factorization.

211200022112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203315692 (or 203315687 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211200022112220 its reverse (22211220002112), we get a palindrome (233411242114332).

The spelling of 211200022112220 in words is "two hundred eleven trillion, two hundred billion, twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 199 261 290 348 398 435 522 580 597 796 870 995 1044 1194 1305 1740 1791 1990 2388 2610 2985 3582 3980 5220 5771 5970 7164 8955 11542 11940 17313 17910 23084 28855 34626 35820 51939 57710 69252 86565 103878 115420 173130 207756 259695 346260 519390 1038780 203315449 406630898 609946347 813261796 1016577245 1219892694 1829839041 2033154490 2439785388 3049731735 3659678082 4066308980 5896148021 6099463470 7319356164 9149195205 11792296042 12198926940 17688444063 18298390410 23584592084 29480740105 35376888126 36596780820 40459774351 53065332189 58961480210 70753776252 80919548702 88442220315 106130664378 117922960420 121379323053 161839097404 176884440630 202298871755 212261328756 242758646106 265326660945 353768881260 364137969159 404597743510 485517292212 530653321890 606896615265 728275938318 809195487020 1061306643780 1173333456179 1213793230530 1456551876636 1820689845795 2346666912358 2427586461060 3520000368537 3641379691590 4693333824716 5866667280895 7040000737074 7282759383180 10560001105611 11733334561790 14080001474148 17600001842685 21120002211222 23466669123580 35200003685370 42240004422444 52800005528055 70400007370740 105600011056110 211200022112220