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312212343331104 = 253231091297252457
BaseRepresentation
bin100011011111101001001100…
…1110100011001100100100000
31111221110012122000110120020020
41012333102121310121210200
5311410241334343043404
63024004212004513440
7122522411630153466
oct10677223164314440
91457405560416206
10312212343331104
11905315694a6907
122b024a160ab880
1310529661437c88
14571522d966836
15261655d691ed9
hex11bf499d19920

312212343331104 has 96 divisors (see below), whose sum is σ = 863036115258240. Its totient is φ = 98632698734592.

The previous prime is 312212343331073. The next prime is 312212343331223. The reversal of 312212343331104 is 401133343212213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648385557 + ... + 648866900.

It is an arithmetic number, because the mean of its divisors is an integer number (8989959533940).

Almost surely, 2312212343331104 is an apocalyptic number.

It is an amenable number.

312212343331104 is an abundant number, since it is smaller than the sum of its proper divisors (550823771927136).

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

312212343331104 is a wasteful number, since it uses less digits than its factorization.

312212343331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297252602 (or 1297252594 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 312212343331104 its reverse (401133343212213), we get a palindrome (713345686543317).

The spelling of 312212343331104 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred forty-three million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 109 138 184 218 276 327 368 436 552 654 736 872 1104 1308 1744 2208 2507 2616 3488 5014 5232 7521 10028 10464 15042 20056 30084 40112 60168 80224 120336 240672 1297252457 2594504914 3891757371 5189009828 7783514742 10378019656 15567029484 20756039312 29836806511 31134058968 41512078624 59673613022 62268117936 89510419533 119347226044 124536235872 141400517813 179020839066 238694452088 282801035626 358041678132 424201553439 477388904176 565602071252 716083356264 848403106878 954777808352 1131204142504 1432166712528 1696806213756 2262408285008 2864333425056 3252211909699 3393612427512 4524816570016 6504423819398 6787224855024 9756635729097 13008847638796 13574449710048 19513271458194 26017695277592 39026542916388 52035390555184 78053085832776 104070781110368 156106171665552 312212343331104