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3231312012312 = 2334394712012753
BaseRepresentation
bin101111000001011001001…
…101000110010000011000
3102102220120200121222212020
4233001121031012100120
5410420211333343222
610512235542414440
7452311631630526
oct57013115062030
912386520558766
103231312012312
1110364344331aa
124422bba31420
131a5932c968c7
14b257978d316
15590c1aa665c
hex2f059346418

3231312012312 has 128 divisors (see below), whose sum is σ = 8284774037760. Its totient is φ = 1049687654400.

The previous prime is 3231312012311. The next prime is 3231312012319. The reversal of 3231312012312 is 2132102131323.

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 (3231312012311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173740728 + ... + 1173743480.

It is an arithmetic number, because the mean of its divisors is an integer number (64724797170).

Almost surely, 23231312012312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3231312012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142387018880).

3231312012312 is an abundant number, since it is smaller than the sum of its proper divisors (5053462025448).

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

3231312012312 is a wasteful number, since it uses less digits than its factorization.

3231312012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3231312012312 its reverse (2132102131323), we get a palindrome (5363414143635).

The spelling of 3231312012312 in words is "three trillion, two hundred thirty-one billion, three hundred twelve million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 947 1032 1201 1894 2402 2753 2841 3603 3788 4804 5506 5682 7206 7576 8259 9608 11012 11364 14412 16518 22024 22728 28824 33036 40721 51643 66072 81442 103286 118379 122163 154929 162884 206572 236758 244326 309858 325768 355137 413144 473516 488652 619716 710274 947032 977304 1137347 1239432 1420548 2274694 2607091 2841096 3306353 3412041 4549388 5214182 6612706 6824082 7821273 9098776 9919059 10428364 13225412 13648164 15642546 19838118 20856728 26450824 27296328 31285092 39676236 48905921 62570184 79352472 97811842 112104913 142173179 146717763 195623684 224209826 284346358 293435526 336314739 391247368 426519537 448419652 568692716 586871052 672629478 853039074 896839304 1137385432 1173742104 1345258956 1706078148 2690517912 3131116291 3412156296 6262232582 9393348873 12524465164 18786697746 25048930328 37573395492 75146790984 134638000513 269276001026 403914001539 538552002052 807828003078 1077104004104 1615656006156 3231312012312