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131120023122 = 232114714089837
BaseRepresentation
bin111101000011101011…
…1001100011001010010
3110112102222110022111200
41322013113030121102
54122013211214442
6140122525052030
712321163543614
oct1720727143122
9415388408450
10131120023122
1150675920080
12214b39b7016
13c497c462ca
1464bc13adb4
15362635234c
hex1e875cc652

131120023122 has 48 divisors (see below), whose sum is σ = 316514120832. Its totient is φ = 38887947360.

The previous prime is 131120023121. The next prime is 131120023127. The reversal of 131120023122 is 221320021131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131120023095 and 131120023104.

It is not an unprimeable number, because it can be changed into a prime (131120023121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7035613 + ... + 7054224.

It is an arithmetic number, because the mean of its divisors is an integer number (6594044184).

Almost surely, 2131120023122 is an apocalyptic number.

131120023122 is an abundant number, since it is smaller than the sum of its proper divisors (185394097710).

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

131120023122 is a wasteful number, since it uses less digits than its factorization.

131120023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089903 (or 14089900 counting only the distinct ones).

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

Adding to 131120023122 its reverse (221320021131), we get a palindrome (352440044253).

The spelling of 131120023122 in words is "one hundred thirty-one billion, one hundred twenty million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 14089837 28179674 42269511 84539022 126808533 154988207 253617066 309976414 464964621 662222339 929929242 1324444678 1394893863 1986667017 2789787726 3973334034 5960001051 7284445729 11920002102 14568891458 21853337187 43706674374 65560011561 131120023122