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211021201000 = 23531972715277
BaseRepresentation
bin1100010010000111010…
…1111111111001101000
3202011200102121201001001
43010201311333321220
511424132411413000
6240535232404344
721150205420231
oct3044165777150
9664612551031
10211021201000
1181547a6a685
1234a926a66b4
1316b8c75a79c
14a2dbb10088
155750d0046a
hex3121d7fe68

211021201000 has 128 divisors (see below), whose sum is σ = 520527571200. Its totient is φ = 79850707200.

The previous prime is 211021200983. The next prime is 211021201033. The reversal of 211021201000 is 102120112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13805362 + ... + 13820638.

It is an arithmetic number, because the mean of its divisors is an integer number (4066621650).

Almost surely, 2211021201000 is an apocalyptic number.

211021201000 is a gapful number since it is divisible by the number (20) 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 211021201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260263785600).

211021201000 is an abundant number, since it is smaller than the sum of its proper divisors (309506370200).

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

211021201000 is a wasteful number, since it uses less digits than its factorization.

211021201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211021201000 its reverse (102120112), we get a palindrome (211123321112).

The spelling of 211021201000 in words is "two hundred eleven billion, twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 727 760 950 1000 1454 1900 2375 2908 3635 3800 4750 5816 7270 9500 13813 14540 15277 18175 19000 27626 29080 30554 36350 55252 61108 69065 72700 76385 90875 110504 122216 138130 145400 152770 181750 276260 290263 305540 345325 363500 381925 552520 580526 611080 690650 727000 763850 1161052 1381300 1451315 1527700 1726625 1909625 2322104 2762600 2902630 3055400 3453250 3819250 5805260 6906500 7256575 7638500 11106379 11610520 13813000 14513150 15277000 22212758 29026300 36282875 44425516 55531895 58052600 72565750 88851032 111063790 145131500 211021201 222127580 277659475 290263000 422042402 444255160 555318950 844084804 1055106005 1110637900 1388297375 1688169608 2110212010 2221275800 2776594750 4220424020 5275530025 5553189500 8440848040 10551060050 11106379000 21102120100 26377650125 42204240200 52755300250 105510600500 211021201000