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131030212032 = 2633101750769
BaseRepresentation
bin111101000001000000…
…0100101110111000000
3110112012201110102212000
41322002000211313000
54121322213241112
6140110000104000
712316023265656
oct1720200456700
9415181412760
10131030212032
115062a158735
1221489905000
13c48245c355
1464b023cdd6
15361d5117dc
hex1e82025dc0

131030212032 has 112 divisors (see below), whose sum is σ = 389018983200. Its totient is φ = 43244236800.

The previous prime is 131030211979. The next prime is 131030212063. The reversal of 131030212032 is 230212030131.

131030212032 is a `hidden beast` number, since 1 + 310 + 302 + 1 + 20 + 32 = 666.

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 = 131030211996 and 131030212014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200857 + ... + 549912.

Almost surely, 2131030212032 is an apocalyptic number.

131030212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131030212032 is an abundant number, since it is smaller than the sum of its proper divisors (257988771168).

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

131030212032 is a wasteful number, since it uses less digits than its factorization.

131030212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750891 (or 750875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131030212032 its reverse (230212030131), we get a palindrome (361242242163).

The spelling of 131030212032 in words is "one hundred thirty-one billion, thirty million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 288 303 404 432 576 606 808 864 909 1212 1616 1728 1818 2424 2727 3232 3636 4848 5454 6464 7272 9696 10908 14544 19392 21816 29088 43632 58176 87264 174528 750769 1501538 2252307 3003076 4504614 6006152 6756921 9009228 12012304 13513842 18018456 20270763 24024608 27027684 36036912 40541526 48049216 54055368 72073824 75827669 81083052 108110736 144147648 151655338 162166104 216221472 227483007 303310676 324332208 432442944 454966014 606621352 648664416 682449021 909932028 1213242704 1297328832 1364898042 1819864056 2047347063 2426485408 2729796084 3639728112 4094694126 4852970816 5459592168 7279456224 8189388252 10919184336 14558912448 16378776504 21838368672 32757553008 43676737344 65515106016 131030212032