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211212112120 = 23529182079407
BaseRepresentation
bin1100010010110100111…
…0010001000011111000
3202012011201211222212021
43010231032101003320
511430030300041440
6241010212324224
721155014221352
oct3045516210370
9665151758767
10211212112120
1181635804a69
1234b26613674
1316bc0181b49
14a3192080d2
15576296184a
hex312d3910f8

211212112120 has 32 divisors (see below), whose sum is σ = 491614401600. Its totient is φ = 81571573888.

The previous prime is 211212112103. The next prime is 211212112141. The reversal of 211212112120 is 21211212112.

It is a super-2 number, since 2×2112121121202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212112094 and 211212112103.

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 7 ways as a sum of consecutive naturals, for example, 91038544 + ... + 91040863.

It is an arithmetic number, because the mean of its divisors is an integer number (15362950050).

Almost surely, 2211212112120 is an apocalyptic number.

211212112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212112120 is an abundant number, since it is smaller than the sum of its proper divisors (280402289480).

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

211212112120 is a wasteful number, since it uses less digits than its factorization.

211212112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182079447 (or 182079443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211212112120 its reverse (21211212112), we get a palindrome (232423324232).

The spelling of 211212112120 in words is "two hundred eleven billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 182079407 364158814 728317628 910397035 1456635256 1820794070 3641588140 5280302803 7283176280 10560605606 21121211212 26401514015 42242422424 52803028030 105606056060 211212112120