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31023131323232 = 253746173317753
BaseRepresentation
bin1110000110111001000101…
…01110001110101101100000
311001211210010100210011011102
413003130202232032231200
513031240333104320412
6145551455122133532
76351230054216336
oct703344256165540
9131753110704142
1031023131323232
119980921951504
1235905a7ab12a8
131440612a56aa9
14793755907b56
1538beb21408c2
hex1c3722b8eb60

31023131323232 has 96 divisors (see below), whose sum is σ = 62880266633184. Its totient is φ = 15055599513600.

The previous prime is 31023131323199. The next prime is 31023131323243. The reversal of 31023131323232 is 23232313132013.

It is a junction number, because it is equal to n+sod(n) for n = 31023131323195 and 31023131323204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4001431868 + ... + 4001439620.

It is an arithmetic number, because the mean of its divisors is an integer number (655002777429).

Almost surely, 231023131323232 is an apocalyptic number.

31023131323232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31023131323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31440133316592).

31023131323232 is an abundant number, since it is smaller than the sum of its proper divisors (31857135309952).

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

31023131323232 is a wasteful number, since it uses less digits than its factorization.

31023131323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15592 (or 15584 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 31023131323232 its reverse (23232313132013), we get a palindrome (54255444455245).

The spelling of 31023131323232 in words is "thirty-one trillion, twenty-three billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 461 592 922 1184 1844 3688 7331 7376 7753 14662 14752 15506 17057 29324 31012 34114 58648 62024 68228 117296 124048 136456 234592 248096 271247 272912 286861 542494 545824 573722 1084988 1147444 2169976 2294888 3379591 3574133 4339952 4589776 6759182 7148266 8679904 9179552 13518364 14296532 27036728 28593064 54073456 56837243 57186128 108146912 113674486 114372256 125044867 132242921 227348972 250089734 264485842 454697944 500179468 528971684 909395888 1000358936 1057943368 1818791776 2000717872 2102977991 2115886736 4001435744 4205955982 4231773472 8411911964 16823823928 26201969023 33647647856 52403938046 67295295712 104807876092 209615752184 419231504368 838463008736 969472853851 1938945707702 3877891415404 7755782830808 15511565661616 31023131323232