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312340102313334 = 23177514077440567
BaseRepresentation
bin100011100000100100101100…
…0110110001111010101110110
31111221220102101202112022101220
41013001021120312033111312
5311414340012143011314
63024143021231131210
7122534553622454364
oct10701113066172566
91457812352468356
10312340102313334
119058076a080137
122b045730373b06
1310538711c49294
14571b4ad558634
152619a398d53a9
hex11c1258d8f576

312340102313334 has 32 divisors (see below), whose sum is σ = 662306826341376. Its totient is φ = 97858573584000.

The previous prime is 312340102313311. The next prime is 312340102313341. The reversal of 312340102313334 is 433313201043213.

It is a happy number.

It is a super-2 number, since 2×3123401023133342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312340102313295 and 312340102313304.

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, 2038643682 + ... + 2038796885.

It is an arithmetic number, because the mean of its divisors is an integer number (20697088323168).

Almost surely, 2312340102313334 is an apocalyptic number.

312340102313334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

312340102313334 is an abundant number, since it is smaller than the sum of its proper divisors (349966724028042).

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

312340102313334 is a wasteful number, since it uses less digits than its factorization.

312340102313334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077441340.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 312340102313334 its reverse (433313201043213), we get a palindrome (745653303356547).

The spelling of 312340102313334 in words is "three hundred twelve trillion, three hundred forty billion, one hundred two million, three hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 751 1502 2253 4506 12767 25534 38301 76602 4077440567 8154881134 12232321701 24464643402 69316489639 138632979278 207949468917 415898937834 3062157865817 6124315731634 9186473597451 18372947194902 52056683718889 104113367437778 156170051156667 312340102313334