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131403157120 = 2753159911057
BaseRepresentation
bin111101001100000111…
…1010000111010000000
3110120011201020000100001
41322120033100322000
54123103202011440
6140211001405344
712331202256304
oct1723017207200
9416151200301
10131403157120
1150800724914
1221572799854
13c5117ba311
14650799dd04
15364112db9a
hex1e983d0e80

131403157120 has 128 divisors (see below), whose sum is σ = 324839808000. Its totient is φ = 50776227840.

The previous prime is 131403157111. The next prime is 131403157133. The reversal of 131403157120 is 21751304131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1314031571202 (a number of 23 digits) contains 22 as substring.

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, 11878632 + ... + 11889688.

It is an arithmetic number, because the mean of its divisors is an integer number (2537811000).

Almost surely, 2131403157120 is an apocalyptic number.

131403157120 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 131403157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162419904000).

131403157120 is an abundant number, since it is smaller than the sum of its proper divisors (193436650880).

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

131403157120 is a wasteful number, since it uses less digits than its factorization.

131403157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11706 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 131403157120 in words is "one hundred thirty-one billion, four hundred three million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 599 620 640 992 1198 1240 1984 2396 2480 2995 3968 4792 4960 5990 9584 9920 11057 11980 18569 19168 19840 22114 23960 37138 38336 44228 47920 55285 74276 76672 88456 92845 95840 110570 148552 176912 185690 191680 221140 297104 342767 353824 371380 383360 442280 594208 685534 707648 742760 884560 1188416 1371068 1415296 1485520 1713835 1769120 2376832 2742136 2971040 3427670 3538240 5484272 5942080 6623143 6855340 7076480 10968544 11884160 13246286 13710680 21937088 26492572 27421360 33115715 43874176 52985144 54842720 66231430 105970288 109685440 132462860 205317433 211940576 219370880 264925720 410634866 423881152 529851440 821269732 847762304 1026587165 1059702880 1642539464 2053174330 2119405760 3285078928 4106348660 4238811520 6570157856 8212697320 13140315712 16425394640 26280631424 32850789280 65701578560 131403157120