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103131011301012 = 223213125785090751
BaseRepresentation
bin10111011100110000001111…
…010010110011111010010100
3111112011020011111110110112200
4113130300033102303322110
5102004144302343113022
61003201422121044500
730502653413113212
oct2734601722637224
9445136144413480
10103131011301012
112a951686294442
12b697593026730
13457129c213626
141b677d3623cb2
15bdca1aa3bbac
hex5dcc0f4b3e94

103131011301012 has 72 divisors (see below), whose sum is σ = 263704409160192. Its totient is φ = 33981841920000.

The previous prime is 103131011300969. The next prime is 103131011301023. The reversal of 103131011301012 is 210103110131301.

103131011301012 is a `hidden beast` number, since 1 + 0 + 31 + 310 + 11 + 301 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41333364 + ... + 43757387.

It is an arithmetic number, because the mean of its divisors is an integer number (3662561238336).

Almost surely, 2103131011301012 is an apocalyptic number.

103131011301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103131011301012 is an abundant number, since it is smaller than the sum of its proper divisors (160573397859180).

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

103131011301012 is a wasteful number, since it uses less digits than its factorization.

103131011301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85091149 (or 85091144 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103131011301012 its reverse (210103110131301), we get a palindrome (313234121432313).

The spelling of 103131011301012 in words is "one hundred three trillion, one hundred thirty-one billion, eleven million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 257 262 393 514 524 771 786 1028 1179 1542 1572 2313 2358 3084 4626 4716 9252 33667 67334 101001 134668 202002 303003 404004 606006 1212012 85090751 170181502 255272253 340363004 510544506 765816759 1021089012 1531633518 3063267036 11146888381 21868323007 22293776762 33440665143 43736646014 44587553524 65604969021 66881330286 87473292028 100321995429 131209938042 133762660572 196814907063 200643990858 262419876084 393629814126 401287981716 787259628252 2864750313917 5729500627834 8594250941751 11459001255668 17188501883502 25782752825253 34377003767004 51565505650506 103131011301012