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131024915712 = 28352106239
BaseRepresentation
bin111101000000110110…
…0011000110100000000
3110112012100111100200000
41322001230120310000
54121314334300322
6140105250400000
712315630256545
oct1720154306400
9415170440600
10131024915712
1150627170509
1221487b90000
13c481326732
1464ad660bcc
15361cd173ac
hex1e81b18d00

131024915712 has 108 divisors (see below), whose sum is σ = 391769064960. Its totient is φ = 43674951168.

The previous prime is 131024915683. The next prime is 131024915729. The reversal of 131024915712 is 217519420131.

It is a happy number.

131024915712 is a `hidden beast` number, since 1 + 3 + 102 + 491 + 57 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 990912 + ... + 1115327.

Almost surely, 2131024915712 is an apocalyptic number.

131024915712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131024915712 is an abundant number, since it is smaller than the sum of its proper divisors (260744149248).

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

131024915712 is an frugal number, since it uses more digits than its factorization.

131024915712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106270 (or 2106244 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 131024915712 in words is "one hundred thirty-one billion, twenty-four million, nine hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 2106239 4212478 6318717 8424956 12637434 16849912 18956151 25274868 33699824 37912302 50549736 56868453 67399648 75824604 101099472 113736906 134799296 151649208 170605359 202198944 227473812 269598592 303298416 341210718 404397888 454947624 511816077 539197184 606596832 682421436 808795776 909895248 1023632154 1213193664 1364842872 1617591552 1819790496 2047264308 2426387328 2729685744 3639580992 4094528616 4852774656 5459371488 7279161984 8189057232 10918742976 14558323968 16378114464 21837485952 32756228928 43674971904 65512457856 131024915712