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31543005345312 = 25311320271434497
BaseRepresentation
bin1110010110000001011011…
…01000001111011000100000
311010200111000021110210102210
413023000231220033120200
513113300033332022222
6151030353454442120
76433623035413236
oct713005550173040
9133614007423383
1031543005345312
11a06134a21393a
1236552b4803340
13147a653441636
147b09923bc956
1539a78c907d0c
hex1cb02da0f620

31543005345312 has 96 divisors (see below), whose sum is σ = 83574404327232. Its totient is φ = 10416139403264.

The previous prime is 31543005345281. The next prime is 31543005345347. The reversal of 31543005345312 is 21354350034513.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×315430053453122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21271648 + ... + 22706144.

It is an arithmetic number, because the mean of its divisors is an integer number (870566711742).

Almost surely, 231543005345312 is an apocalyptic number.

31543005345312 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 31543005345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41787202163616).

31543005345312 is an abundant number, since it is smaller than the sum of its proper divisors (52031398981920).

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

31543005345312 is a wasteful number, since it uses less digits than its factorization.

31543005345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436650 (or 1436642 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

Adding to 31543005345312 its reverse (21354350034513), we get a palindrome (52897355379825).

The spelling of 31543005345312 in words is "thirty-one trillion, five hundred forty-three billion, five million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2027 2712 3616 4054 5424 6081 8108 10848 12162 16216 24324 32432 48648 64864 97296 194592 229051 458102 687153 916204 1374306 1434497 1832408 2748612 2868994 3664816 4303491 5497224 5737988 7329632 8606982 10994448 11475976 17213964 21988896 22951952 34427928 45903904 68855856 137711712 162098161 324196322 486294483 648392644 972588966 1296785288 1945177932 2593570576 2907725419 3890355864 5187141152 5815450838 7780711728 8723176257 11630901676 15561423456 17446352514 23261803352 34892705028 46523606704 69785410056 93047213408 139570820112 279141640224 328572972347 657145944694 985718917041 1314291889388 1971437834082 2628583778776 3942875668164 5257167557552 7885751336328 10514335115104 15771502672656 31543005345312