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131412120 = 23357222349
BaseRepresentation
bin1111101010100…
…11000010011000
3100011021102112120
413311103002120
5232120141440
621012341240
73153661500
oct765230230
9304242476
10131412120
11681a6964
1238014820
13212c1468
141364aa00
15b80bdd0
hex7d53098

131412120 has 96 divisors (see below), whose sum is σ = 458622000. Its totient is φ = 30035712.

The previous prime is 131412119. The next prime is 131412121. The reversal of 131412120 is 21214131.

It is an interprime number because it is at equal distance from previous prime (131412119) and next prime (131412121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131412120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412121) 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, 5295 + ... + 17054.

Almost surely, 2131412120 is an apocalyptic number.

131412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412120 is an abundant number, since it is smaller than the sum of its proper divisors (327209880).

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

131412120 is a wasteful number, since it uses less digits than its factorization.

131412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22377 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131412120 is about 11463.5125506975. The cubic root of 131412120 is about 508.4073344445.

Adding to 131412120 its reverse (21214131), we get a palindrome (152626251).

The spelling of 131412120 in words is "one hundred thirty-one million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 22349 44698 67047 89396 111745 134094 156443 178792 223490 268188 312886 335235 446980 469329 536376 625772 670470 782215 893960 938658 1095101 1251544 1340940 1564430 1877316 2190202 2346645 2681880 3128860 3285303 3754632 4380404 4693290 5475505 6257720 6570606 8760808 9386580 10951010 13141212 16426515 18773160 21902020 26282424 32853030 43804040 65706060 131412120