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131354371520 = 2655916342683
BaseRepresentation
bin111101001010101010…
…1001010010111000000
3110120001022102110001222
41322111111022113000
54123003204342040
6140202100014212
712330040510241
oct1722525122700
9416038373058
10131354371520
1150786133539
122155a391368
13c5046688b8
146501300cc8
15363bbe3bb5
hex1e9554a5c0

131354371520 has 112 divisors (see below), whose sum is σ = 320048046720. Its totient is φ = 51333129216.

The previous prime is 131354371517. The next prime is 131354371531. The reversal of 131354371520 is 25173453131.

It is a super-2 number, since 2×1313543715202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3056099 + ... + 3098781.

Almost surely, 2131354371520 is an apocalyptic number.

131354371520 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 131354371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160024023360).

131354371520 is an abundant number, since it is smaller than the sum of its proper divisors (188693675200).

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

131354371520 is a wasteful number, since it uses less digits than its factorization.

131354371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42922 (or 42912 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 131354371520 in words is "one hundred thirty-one billion, three hundred fifty-four million, three hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 163 236 295 320 326 472 590 652 815 944 1180 1304 1630 1888 2360 2608 3260 3776 4720 5216 6520 9440 9617 10432 13040 18880 19234 26080 38468 42683 48085 52160 76936 85366 96170 153872 170732 192340 213415 307744 341464 384680 426830 615488 682928 769360 853660 1365856 1538720 1707320 2518297 2731712 3077440 3414640 5036594 6829280 6957329 10073188 12591485 13658560 13914658 20146376 25182970 27829316 34786645 40292752 50365940 55658632 69573290 80585504 100731880 111317264 139146580 161171008 201463760 222634528 278293160 402927520 410482411 445269056 556586320 805855040 820964822 1113172640 1641929644 2052412055 2226345280 3283859288 4104824110 6567718576 8209648220 13135437152 16419296440 26270874304 32838592880 65677185760 131354371520