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113350153032 = 23331931388241
BaseRepresentation
bin110100110010000110…
…0100001001101001000
3101211120120022101101000
41221210030201031020
53324120114344112
6124023343055000
711121631255314
oct1514414411510
9354516271330
10113350153032
114408722a726
1219b748a1460
13a8c55bc18c
1456b40d6b44
152e362a57dc
hex1a64321348

113350153032 has 128 divisors (see below), whose sum is σ = 332495856000. Its totient is φ = 35680020480.

The previous prime is 113350153027. The next prime is 113350153057. The reversal of 113350153032 is 230351053311.

113350153032 is a `hidden beast` number, since 1 + 1 + 3 + 350 + 1 + 5 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113350152987 and 113350153005.

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, 1240432 + ... + 1328672.

It is an arithmetic number, because the mean of its divisors is an integer number (2597623875).

Almost surely, 2113350153032 is an apocalyptic number.

113350153032 is a gapful number since it is divisible by the number (12) 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 113350153032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166247928000).

113350153032 is an abundant number, since it is smaller than the sum of its proper divisors (219145702968).

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

113350153032 is a wasteful number, since it uses less digits than its factorization.

113350153032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88588 (or 88578 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The spelling of 113350153032 in words is "one hundred thirteen billion, three hundred fifty million, one hundred fifty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 313 342 456 513 626 684 939 1026 1252 1368 1878 2052 2504 2817 3756 4104 5634 5947 7512 8451 11268 11894 16902 17841 22536 23788 33804 35682 47576 53523 67608 71364 88241 107046 142728 160569 176482 214092 264723 321138 352964 428184 529446 642276 705928 794169 1058892 1284552 1588338 1676579 2117784 2382507 3176676 3353158 4765014 5029737 6353352 6706316 9530028 10059474 13412632 15089211 19060056 20118948 27619433 30178422 40237896 45267633 55238866 60356844 82858299 90535266 110477732 120713688 165716598 181070532 220955464 248574897 331433196 362141064 497149794 524769227 662866392 745724691 994299588 1049538454 1491449382 1574307681 1988599176 2099076908 2982898764 3148615362 4198153816 4722923043 5965797528 6297230724 9445846086 12594461448 14168769129 18891692172 28337538258 37783384344 56675076516 113350153032