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1013010333312 = 27317155179279
BaseRepresentation
bin11101011110111000001…
…11101111111010000000
310120211202102122211120210
432233130013233322000
5113044121121131222
62053212011034120
7133121224521645
oct16573407577200
93524672584523
101013010333312
11360684a1897a
121443b313b940
13746ac847a13
143705c301dcc
151b53da59d0c
hexebdc1efe80

1013010333312 has 64 divisors (see below), whose sum is σ = 2849091580800. Its totient is φ = 317807161344.

The previous prime is 1013010333299. The next prime is 1013010333389. The reversal of 1013010333312 is 2133330103101.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 77583112 + ... + 77596167.

It is an arithmetic number, because the mean of its divisors is an integer number (44517055950).

Almost surely, 21013010333312 is an apocalyptic number.

1013010333312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013010333312 is an abundant number, since it is smaller than the sum of its proper divisors (1836081247488).

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

1013010333312 is a wasteful number, since it uses less digits than its factorization.

1013010333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155179313 (or 155179301 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1013010333312 its reverse (2133330103101), we get a palindrome (3146340436413).

The spelling of 1013010333312 in words is "one trillion, thirteen billion, ten million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 155179279 310358558 465537837 620717116 931075674 1241434232 1862151348 2482868464 2638047743 3724302696 4965736928 5276095486 7448605392 7914143229 9931473856 10552190972 14897210784 15828286458 19862947712 21104381944 29794421568 31656572916 42208763888 59588843136 63313145832 84417527776 126626291664 168835055552 253252583328 337670111104 506505166656 1013010333312