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101202211220 = 2251123103194179
BaseRepresentation
bin101111001000000011…
…1110011000110010100
3100200012221211000000012
41132100013303012110
53124230231224340
6114254110335352
710211612413325
oct1362007630624
9320187730005
10101202211220
1139a130121a0
12177444ba558
13970a8c9526
144c809a844c
152974a60565
hex17901f3194

101202211220 has 96 divisors (see below), whose sum is σ = 244275333120. Its totient is φ = 34858834560.

The previous prime is 101202211207. The next prime is 101202211237. The reversal of 101202211220 is 22112202101.

It is a junction number, because it is equal to n+sod(n) for n = 101202211195 and 101202211204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424091 + ... + 618269.

It is an arithmetic number, because the mean of its divisors is an integer number (2544534720).

Almost surely, 2101202211220 is an apocalyptic number.

101202211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122137666560).

101202211220 is an abundant number, since it is smaller than the sum of its proper divisors (143073121900).

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

101202211220 is a wasteful number, since it uses less digits than its factorization.

101202211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194325 (or 194323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202211220 its reverse (22112202101), we get a palindrome (123314413321).

The spelling of 101202211220 in words is "one hundred one billion, two hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 103 110 115 206 220 230 253 412 460 506 515 1012 1030 1133 1265 2060 2266 2369 2530 4532 4738 5060 5665 9476 11330 11845 22660 23690 26059 47380 52118 104236 130295 194179 260590 388358 521180 776716 970895 1941790 2135969 3883580 4271938 4466117 8543876 8932234 10679845 17864468 20000437 21359690 22330585 40000874 42719380 44661170 49127287 80001748 89322340 98254574 100002185 196509148 200004370 220004807 245636435 400008740 440009614 460010051 491272870 880019228 920020102 982545740 1100024035 1840040204 2200048070 2300050255 4400096140 4600100510 5060110561 9200201020 10120221122 20240442244 25300552805 50601105610 101202211220