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231031122102 = 233111731738029
BaseRepresentation
bin1101011100101010000…
…1110010100010110110
3211002022221211000111000
43113022201302202312
512241122431401402
6254044554424130
722456111064514
oct3271241624266
9732287730430
10231031122102
1189a86055560
1238937a32046
1318a2b1ca0a1
14b2794594b4
15602287ac1c
hex35ca8728b6

231031122102 has 128 divisors (see below), whose sum is σ = 612151603200. Its totient is φ = 63765619200.

The previous prime is 231031122037. The next prime is 231031122107. The reversal of 231031122102 is 201221130132.

231031122102 is a `hidden beast` number, since 231 + 0 + 311 + 22 + 102 = 666.

231031122102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231031122107) 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 63 ways as a sum of consecutive naturals, for example, 55977 + ... + 682052.

It is an arithmetic number, because the mean of its divisors is an integer number (4782434400).

Almost surely, 2231031122102 is an apocalyptic number.

231031122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 231031122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306075801600).

231031122102 is an abundant number, since it is smaller than the sum of its proper divisors (381120481098).

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

231031122102 is a wasteful number, since it uses less digits than its factorization.

231031122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738099 (or 738093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231031122102 its reverse (201221130132), we get a palindrome (432252252234).

The spelling of 231031122102 in words is "two hundred thirty-one billion, thirty-one million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 31 33 34 51 54 62 66 93 99 102 153 186 187 198 279 297 306 341 374 459 527 558 561 594 682 837 918 1023 1054 1122 1581 1674 1683 2046 3069 3162 3366 4743 5049 5797 6138 9207 9486 10098 11594 14229 17391 18414 28458 34782 52173 104346 156519 313038 738029 1476058 2214087 4428174 6642261 8118319 12546493 13284522 16236638 19926783 22878899 24354957 25092986 37639479 39853566 45757798 48709914 68636697 73064871 75278958 112918437 137273394 138011423 146129742 205910091 219194613 225836874 251667889 276022846 338755311 388941283 411820182 414034269 438389226 503335778 617730273 677510622 755003667 777882566 828068538 1166823849 1235460546 1242102807 1510007334 2265011001 2333647698 2484205614 3500471547 3726308421 4278354113 4530022002 6795033003 7000943094 7452616842 8556708226 10501414641 12835062339 13590066006 21002829282 25670124678 38505187017 77010374034 115515561051 231031122102