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211220021210120 = 235133403111935951
BaseRepresentation
bin110000000001101001111110…
…010101010110110000001000
31000200212102210110000021102222
4300001221332111112300020
5210141112100412210440
62025121045503113212
762330100013111136
oct6001517625266010
91020772713007388
10211220021210120
11613349a95299aa
121b833a318a2808
1390b1c688c4ba0
143a231642c4756
1519644b67282b5
hexc01a7e556c08

211220021210120 has 64 divisors (see below), whose sum is σ = 511817441264640. Its totient is φ = 77986632672000.

The previous prime is 211220021210111. The next prime is 211220021210131. The reversal of 211220021210120 is 21012120022112.

It is a super-2 number, since 2×2112200212101202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11728145 + ... + 23664095.

It is an arithmetic number, because the mean of its divisors is an integer number (7997147519760).

Almost surely, 2211220021210120 is an apocalyptic number.

211220021210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220021210120 is an abundant number, since it is smaller than the sum of its proper divisors (300597420054520).

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

211220021210120 is a wasteful number, since it uses less digits than its factorization.

211220021210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970006 (or 11970002 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211220021210120 its reverse (21012120022112), we get a palindrome (232232141232232).

The spelling of 211220021210120 in words is "two hundred eleven trillion, two hundred twenty billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 34031 68062 136124 170155 272248 340310 442403 680620 884806 1361240 1769612 2212015 3539224 4424030 8848060 11935951 17696120 23871902 47743804 59679755 95487608 119359510 155167363 238719020 310334726 477438040 620669452 775836815 1241338904 1551673630 3103347260 6206694520 406192348481 812384696962 1624769393924 2030961742405 3249538787848 4061923484810 5280500530253 8123846969620 10561001060506 16247693939240 21122002121012 26402502651265 42244004242024 52805005302530 105610010605060 211220021210120