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131211323320 = 23571167635837
BaseRepresentation
bin111101000110011001…
…1011110011110111000
3110112200100020211211111
41322030303132132320
54122210044321240
6140135550010104
712323352563140
oct1721463363670
9415610224744
10131211323320
115071240a290
122151a4a6934
13c4b0b31cac
1464ca305920
15362e3891ea
hex1e8ccde7b8

131211323320 has 128 divisors (see below), whose sum is σ = 373567541760. Its totient is φ = 40286568960.

The previous prime is 131211323279. The next prime is 131211323351. The reversal of 131211323320 is 23323112131.

It is a super-2 number, since 2×1312113233202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131211323291 and 131211323300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111559 + ... + 524278.

It is an arithmetic number, because the mean of its divisors is an integer number (2918496420).

Almost surely, 2131211323320 is an apocalyptic number.

131211323320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211323320 is an abundant number, since it is smaller than the sum of its proper divisors (242356218440).

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

131211323320 is a wasteful number, since it uses less digits than its factorization.

131211323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635933 (or 635929 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131211323320 its reverse (23323112131), we get a palindrome (154534435451).

The spelling of 131211323320 in words is "one hundred thirty-one billion, two hundred eleven million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 67 70 77 88 110 134 140 154 220 268 280 308 335 385 440 469 536 616 670 737 770 938 1340 1474 1540 1876 2345 2680 2948 3080 3685 3752 4690 5159 5896 7370 9380 10318 14740 18760 20636 25795 29480 41272 51590 103180 206360 635837 1271674 2543348 3179185 4450859 5086696 6358370 6994207 8901718 12716740 13988414 17803436 22254295 25433480 27976828 34971035 35606872 42601079 44508590 48959449 55953656 69942070 85202158 89017180 97918898 139884140 170404316 178034360 195837796 213005395 244797245 279768280 298207553 340808632 391675592 426010790 468611869 489594490 596415106 852021580 937223738 979188980 1192830212 1491037765 1704043160 1874447476 1958377960 2343059345 2385660424 2982075530 3280283083 3748894952 4686118690 5964151060 6560566166 9372237380 11928302120 13121132332 16401415415 18744474760 26242264664 32802830830 65605661660 131211323320