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131214518520 = 233523339711821
BaseRepresentation
bin111101000110011111…
…1101010100011111000
3110112200120021011211020
41322030333222203320
54122211404043040
6140140142302440
712323422001451
oct1721477524370
9415616234736
10131214518520
11507141a1948
122151b587a20
13c4b16b0447
1464ca8d8128
15362e7bacd0
hex1e8cfea8f8

131214518520 has 128 divisors (see below), whose sum is σ = 396362341440. Its totient is φ = 34749665280.

The previous prime is 131214518473. The next prime is 131214518521. The reversal of 131214518520 is 25815412131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214518521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11094210 + ... + 11106030.

Almost surely, 2131214518520 is an apocalyptic number.

131214518520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131214518520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198181170720).

131214518520 is an abundant number, since it is smaller than the sum of its proper divisors (265147822920).

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

131214518520 is a wasteful number, since it uses less digits than its factorization.

131214518520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 131214518520 in words is "one hundred thirty-one billion, two hundred fourteen million, five hundred eighteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 397 466 699 794 932 1165 1191 1398 1588 1864 1985 2330 2382 2796 3176 3495 3970 4660 4764 5592 5955 6990 7940 9320 9528 11821 11910 13980 15880 23642 23820 27960 35463 47284 47640 59105 70926 92501 94568 118210 141852 177315 185002 236420 277503 283704 354630 370004 462505 472840 555006 709260 740008 925010 1110012 1387515 1418520 1850020 2220024 2754293 2775030 3700040 4692937 5508586 5550060 8262879 9385874 11017172 11100120 13771465 14078811 16525758 18771748 22034344 23464685 27542930 28157622 33051516 37543496 41314395 46929370 55085860 56315244 66103032 70394055 82628790 93858740 110171720 112630488 140788110 165257580 187717480 281576220 330515160 563152440 1093454321 2186908642 3280362963 4373817284 5467271605 6560725926 8747634568 10934543210 13121451852 16401814815 21869086420 26242903704 32803629630 43738172840 65607259260 131214518520