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131022120 = 23353135221
BaseRepresentation
bin1111100111100…
…11110100101000
3100010112121120010
413303303310220
5232020201440
621000131520
73150445455
oct763636450
9303477503
10131022120
1167a5a949
1237a66ba0
13211b5aa8
141358882c
15b781580
hex7cf3d28

131022120 has 64 divisors (see below), whose sum is σ = 405757440. Its totient is φ = 33811200.

The previous prime is 131022097. The next prime is 131022127. The reversal of 131022120 is 21220131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131022096 and 131022105.

It is not an unprimeable number, because it can be changed into a prime (131022127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13891 + ... + 21330.

It is an arithmetic number, because the mean of its divisors is an integer number (6339960).

Almost surely, 2131022120 is an apocalyptic number.

131022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022120 is an abundant number, since it is smaller than the sum of its proper divisors (274735320).

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

131022120 is a wasteful number, since it uses less digits than its factorization.

131022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35266 (or 35262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131022120 is about 11446.4894181579. The cubic root of 131022120 is about 507.9038919597.

Adding to 131022120 its reverse (21220131), we get a palindrome (152242251).

The spelling of 131022120 in words is "one hundred thirty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 35221 70442 105663 140884 176105 211326 281768 352210 422652 528315 704420 845304 1056630 1091851 1408840 2113260 2183702 3275553 4226520 4367404 5459255 6551106 8734808 10918510 13102212 16377765 21837020 26204424 32755530 43674040 65511060 131022120