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22312133120112 = 24311160726296097
BaseRepresentation
bin1010001001010111100101…
…10001001101000001110000
32221000000111220211202011220
411010223302301031001300
510411030222034320422
6115242015155105040
74461666313203333
oct504536261150160
987000456752156
1022312133120112
117122582519910
1226042a82a2180
13c5b04327a204
14571cad40061a
1528a5ca7dae5c
hex144af2c4d070

22312133120112 has 80 divisors (see below), whose sum is σ = 62918778868992. Its totient is φ = 6757044828160.

The previous prime is 22312133120099. The next prime is 22312133120117. The reversal of 22312133120112 is 21102133121322.

It is a super-3 number, since 3×223121331201123 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312133120117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12299553 + ... + 13996544.

Almost surely, 222312133120112 is an apocalyptic number.

22312133120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22312133120112 is an abundant number, since it is smaller than the sum of its proper divisors (40606645748880).

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

22312133120112 is a wasteful number, since it uses less digits than its factorization.

22312133120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26297726 (or 26297720 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22312133120112 its reverse (21102133121322), we get a palindrome (43414266241434).

The spelling of 22312133120112 in words is "twenty-two trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1607 3214 4821 6428 9642 12856 17677 19284 25712 35354 38568 53031 70708 77136 106062 141416 212124 282832 424248 848496 26296097 52592194 78888291 105184388 157776582 210368776 289257067 315553164 420737552 578514134 631106328 867771201 1157028268 1262212656 1735542402 2314056536 3471084804 4628113072 6942169608 13884339216 42257827879 84515655758 126773483637 169031311516 253546967274 338062623032 464836106669 507093934548 676125246064 929672213338 1014187869096 1394508320007 1859344426676 2028375738192 2789016640014 3718688853352 5578033280028 7437377706704 11156066560056 22312133120112