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131202123012 = 223274310394721
BaseRepresentation
bin111101000110001000…
…0011000010100000100
3110112122200221102101100
41322030100120110010
54122200220414022
6140135020500100
712323211434112
oct1721420302404
9415580842340
10131202123012
11507081a5a24
12215173aa630
13c4abc6041c
1464c8dccab2
15362d66d1ac
hex1e8c418504

131202123012 has 72 divisors (see below), whose sum is σ = 332486219520. Its totient is φ = 43623901440.

The previous prime is 131202123011. The next prime is 131202123029. The reversal of 131202123012 is 210321202131.

131202123012 is a `hidden beast` number, since 131 + 20 + 212 + 301 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131202123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27788812 + ... + 27793532.

It is an arithmetic number, because the mean of its divisors is an integer number (4617864160).

Almost surely, 2131202123012 is an apocalyptic number.

131202123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131202123012 is an abundant number, since it is smaller than the sum of its proper divisors (201284096508).

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

131202123012 is a wasteful number, since it uses less digits than its factorization.

131202123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131202123012 its reverse (210321202131), we get a palindrome (341523325143).

The spelling of 131202123012 in words is "one hundred thirty-one billion, two hundred two million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 743 1039 1486 2078 2229 2972 3117 4156 4458 4721 6234 6687 8916 9351 9442 12468 13374 14163 18702 18884 26748 28326 37404 42489 56652 84978 169956 771977 1543954 2315931 3087908 3507703 4631862 4905119 6947793 7015406 9263724 9810238 10523109 13895586 14030812 14715357 19620476 21046218 27791172 29430714 31569327 42092436 44146071 58861428 63138654 88292142 126277308 176584284 3644503417 7289006834 10933510251 14578013668 21867020502 32800530753 43734041004 65601061506 131202123012