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212031312223302 = 233111327458082391
BaseRepresentation
bin110000001101011101100011…
…000010111101110001000110
31000210201222212201011220201000
4300031131203002331301012
5210242410111412121202
62030541501245114130
762442520401666015
oct6015354302756106
91023658781156630
10212031312223302
1161617a7a117a50
121b945109558946
13914060bb6b340
143a50528030a7c
15197a64ade091c
hexc0d7630bdc46

212031312223302 has 64 divisors (see below), whose sum is σ = 553554941022720. Its totient is φ = 59309457962400.

The previous prime is 212031312223271. The next prime is 212031312223327. The reversal of 212031312223302 is 203322213130212.

212031312223302 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 131 + 2 + 223 + 302 = 666.

It is a super-2 number, since 2×2120313122233022 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13729033474 + ... + 13729048917.

It is an arithmetic number, because the mean of its divisors is an integer number (8649295953480).

Almost surely, 2212031312223302 is an apocalyptic number.

212031312223302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212031312223302 is an abundant number, since it is smaller than the sum of its proper divisors (341523628799418).

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

212031312223302 is a wasteful number, since it uses less digits than its factorization.

212031312223302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27458082426 (or 27458082420 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212031312223302 its reverse (203322213130212), we get a palindrome (415353525353514).

The spelling of 212031312223302 in words is "two hundred twelve trillion, thirty-one billion, three hundred twelve million, two hundred twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 27458082391 54916164782 82374247173 164748494346 247122741519 302038906301 356955071083 494245483038 604077812602 713910142166 741368224557 906116718903 1070865213249 1482736449114 1812233437806 2141730426498 2718350156709 3212595639747 3926505781913 5436700313418 6425191279494 7853011563826 8155050470127 9637786919241 11779517345739 16310100940254 19275573838482 23559034691478 35338552037217 70677104074434 106015656111651 212031312223302