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220120232122332 = 22332323852836101
BaseRepresentation
bin110010000011001010111100…
…001111100101011111011100
31001212101021210110001012201000
4302003022330033211133130
5212322422213410403312
62100053501051150300
764236106360454343
oct6203127417453734
91055337713035630
10220120232122332
1164156514568443
1220830938445390
1395a9330880269
143c4dc39d6cb5a
151a6ac7447cadc
hexc832bc3e57dc

220120232122332 has 72 divisors (see below), whose sum is σ = 596573142033680. Its totient is φ = 70183262397600.

The previous prime is 220120232122291. The next prime is 220120232122337. The reversal of 220120232122332 is 233221232021022.

220120232122332 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 0 + 2 + 321 + 2 + 2 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220120232122296 and 220120232122305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120232122337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926360919 + ... + 1926475182.

Almost surely, 2220120232122332 is an apocalyptic number.

It is an amenable number.

220120232122332 is an abundant number, since it is smaller than the sum of its proper divisors (376452909911348).

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

220120232122332 is a wasteful number, since it uses less digits than its factorization.

220120232122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852836160 (or 3852836129 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 220120232122332 its reverse (233221232021022), we get a palindrome (453341464143354).

The spelling of 220120232122332 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred thirty-two million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 529 621 828 1058 1242 1587 2116 2484 3174 4761 6348 9522 14283 19044 28566 57132 3852836101 7705672202 11558508303 15411344404 23117016606 34675524909 46234033212 69351049818 88615230323 104026574727 138702099636 177230460646 208053149454 265845690969 354460921292 416106298908 531691381938 797537072907 1063382763876 1595074145814 2038150297429 2392611218721 3190148291628 4076300594858 4785222437442 6114450892287 8152601189716 9570444874884 12228901784574 18343352676861 24457803569148 36686705353722 55030058030583 73373410707444 110060116061166 220120232122332