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231323131212102 = 23337227411141597
BaseRepresentation
bin110100100110001100011101…
…000100000111000101000110
31010100001021102202010121001000
4310212030131010013011012
5220304444233042241402
62135552213542314130
766503354556524526
oct6446143504070506
91110037382117030
10231323131212102
1167785652a95606
1221b3bb80728946
139c0c8a6b05ac7
14411a156641686
151bb23a386ac1c
hexd2631d107146

231323131212102 has 96 divisors (see below), whose sum is σ = 528513388129440. Its totient is φ = 74996281607040.

The previous prime is 231323131212083. The next prime is 231323131212119. The reversal of 231323131212102 is 201212131323132.

231323131212102 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 231 + 312 + 12 + 102 = 666.

It is a super-2 number, since 2×2313231312121022 (a number of 30 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202060368 + ... + 203201964.

It is an arithmetic number, because the mean of its divisors is an integer number (5505347793015).

Almost surely, 2231323131212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231323131212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264256694064720).

231323131212102 is an abundant number, since it is smaller than the sum of its proper divisors (297190256917338).

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

231323131212102 is a wasteful number, since it uses less digits than its factorization.

231323131212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144423 (or 1144380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 231323131212102 its reverse (201212131323132), we get a palindrome (432535262535234).

The spelling of 231323131212102 in words is "two hundred thirty-one trillion, three hundred twenty-three billion, one hundred thirty-one million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1369 1998 2738 2741 4107 5482 8214 8223 12321 16446 24642 24669 36963 49338 73926 74007 101417 148014 202834 304251 608502 912753 1141597 1825506 2283194 2738259 3424791 3752429 5476518 6849582 7504858 10274373 11257287 20548746 22514574 30823119 33771861 42239089 61646238 67543722 84478178 101315583 126717267 202631166 253434534 380151801 760303602 1140455403 1562846293 2280910806 3125692586 3129117377 4688538879 6258234754 9377077758 9387352131 14065616637 18774704262 28131233274 28162056393 42196849911 56324112786 84393699822 84486169179 115777342949 168972338358 231554685898 347332028847 694664057694 1041996086541 2083992173082 3125988259623 4283761689113 6251976519246 8567523378226 12851285067339 25702570134678 38553855202017 77107710404034 115661565606051 231323131212102