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1313121233322 = 232315413434743
BaseRepresentation
bin10011000110111100000…
…111111110100110101010
311122112101200021011112200
4103012330013332212222
5133003233013431242
62443123425121030
7163604240215053
oct23067407764652
94575350234480
101313121233322
11466989780a78
121925a9789176
1396a99635522
14477ac07172a
1524255d2304c
hex131bc1fe9aa

1313121233322 has 48 divisors (see below), whose sum is σ = 2937422611968. Its totient is φ = 423508266720.

The previous prime is 1313121233311. The next prime is 1313121233339. The reversal of 1313121233322 is 2233321213131.

1313121233322 is a `hidden beast` number, since 1 + 3 + 1 + 312 + 1 + 23 + 3 + 322 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 2803083 + ... + 3237825.

It is an arithmetic number, because the mean of its divisors is an integer number (61196304416).

Almost surely, 21313121233322 is an apocalyptic number.

1313121233322 is an abundant number, since it is smaller than the sum of its proper divisors (1624301378646).

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

1313121233322 is a wasteful number, since it uses less digits than its factorization.

1313121233322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440195 (or 440192 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1313121233322 its reverse (2233321213131), we get a palindrome (3546442446453).

The spelling of 1313121233322 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 5413 10826 16239 32478 48717 97434 167803 335606 434743 503409 869486 1006818 1304229 1510227 2608458 3020454 3912687 7825374 13477033 26954066 40431099 80862198 121293297 242586594 2353263859 4706527718 7059791577 14119583154 21179374731 42358749462 72951179629 145902359258 218853538887 437707077774 656560616661 1313121233322