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131130210120 = 233571312008261
BaseRepresentation
bin111101000011111111…
…0000011011101001000
3110112110200121212102220
41322013332003131020
54122023313210440
6140123531254040
712321346252410
oct1720776033510
9415420555386
10131130210120
1150680648788
12214b72aa320
13c49a0a2010
1464bd62d640
1536271b58d0
hex1e87f83748

131130210120 has 128 divisors (see below), whose sum is σ = 484173123840. Its totient is φ = 27667031040.

The previous prime is 131130210091. The next prime is 131130210131. The reversal of 131130210120 is 21012031131.

It is a happy number.

It is a super-2 number, since 2×1311302101202 (a number of 23 digits) contains 22 as substring.

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 131130210120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5993211 + ... + 6015050.

It is an arithmetic number, because the mean of its divisors is an integer number (3782602530).

Almost surely, 2131130210120 is an apocalyptic number.

131130210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130210120 is an abundant number, since it is smaller than the sum of its proper divisors (353042913720).

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

131130210120 is a wasteful number, since it uses less digits than its factorization.

131130210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12008295 (or 12008291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131130210120 its reverse (21012031131), we get a palindrome (152142241251).

The spelling of 131130210120 in words is "one hundred thirty-one billion, one hundred thirty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 12008261 24016522 36024783 48033044 60041305 72049566 84057827 96066088 120082610 144099132 156107393 168115654 180123915 240165220 252173481 288198264 312214786 336231308 360247830 420289135 468322179 480330440 504346962 624429572 672462616 720495660 780536965 840578270 936644358 1008693924 1092751751 1248859144 1260867405 1440991320 1561073930 1681156540 1873288716 2017387848 2185503502 2341610895 2521734810 3122147860 3278255253 3362313080 3746577432 4371007004 4683221790 5043469620 5463758755 6244295720 6556510506 8742014008 9366443580 10086939240 10927517510 13113021012 16391276265 18732887160 21855035020 26226042024 32782552530 43710070040 65565105060 131130210120