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131303002112 = 21229247811
BaseRepresentation
bin111101001001001000…
…1001101000000000000
3110112220201202121111022
41322102101031000000
54122402032031422
6140153023005012
712325545050222
oct1722221150000
9415821677438
10131303002112
115075a137987
1221545139768
13c4c6b210b9
1464d856c412
153637448342
hex1e9244d000

131303002112 has 156 divisors (see below), whose sum is σ = 278068854336. Its totient is φ = 61962485760.

The previous prime is 131303002093. The next prime is 131303002121. The reversal of 131303002112 is 211200303131.

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, 161902187 + ... + 161902997.

It is an arithmetic number, because the mean of its divisors is an integer number (1782492656).

Almost surely, 2131303002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131303002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139034427168).

131303002112 is an abundant number, since it is smaller than the sum of its proper divisors (146765852224).

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

131303002112 is an frugal number, since it uses more digits than its factorization.

131303002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131303002112 its reverse (211200303131), we get a palindrome (342503305243).

The spelling of 131303002112 in words is "one hundred thirty-one billion, three hundred three million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 512 752 811 841 928 1024 1363 1504 1622 1682 1856 2048 2726 3008 3244 3364 3712 4096 5452 6016 6488 6728 7424 10904 12032 12976 13456 14848 21808 23519 24064 25952 26912 29696 38117 39527 43616 47038 48128 51904 53824 59392 76234 79054 87232 94076 96256 103808 107648 118784 152468 158108 174464 188152 192512 207616 215296 304936 316216 348928 376304 415232 430592 609872 632432 682051 697856 752608 830464 861184 1105393 1219744 1264864 1364102 1395712 1505216 1660928 1722368 2210786 2439488 2529728 2728204 2791424 3010432 3321856 3444736 4421572 4878976 5059456 5456408 5582848 6020864 8843144 9757952 10118912 10912816 12041728 17686288 19515904 20237824 21825632 24083456 32056397 35372576 39031808 40475648 43651264 48166912 64112794 70745152 78063616 80951296 87302528 96333824 128225588 141490304 156127232 161902592 174605056 256451176 282980608 349210112 512902352 565961216 698420224 1025804704 1131922432 1396840448 2051609408 2263844864 2793680896 4103218816 4527689728 8206437632 16412875264 32825750528 65651501056 131303002112