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113210701032 = 233111339078443
BaseRepresentation
bin110100101101111100…
…0100011010011101000
3101211012211220111012010
41221123320203103220
53323323414413112
6124001442115520
711115316036602
oct1513370432350
9354184814163
10113210701032
1144015542340
1219b3604bba0
13a8a27443c0
14569d796172
152e28e0b63c
hex1a5be234e8

113210701032 has 128 divisors (see below), whose sum is σ = 332631452160. Its totient is φ = 31655473920.

The previous prime is 113210701027. The next prime is 113210701057. The reversal of 113210701032 is 230107012311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13404603 + ... + 13413045.

It is an arithmetic number, because the mean of its divisors is an integer number (2598683220).

Almost surely, 2113210701032 is an apocalyptic number.

113210701032 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 113210701032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166315726080).

113210701032 is an abundant number, since it is smaller than the sum of its proper divisors (219420751128).

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

113210701032 is a wasteful number, since it uses less digits than its factorization.

113210701032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12379 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 113210701032 its reverse (230107012311), we get a palindrome (343317713343).

The spelling of 113210701032 in words is "one hundred thirteen billion, two hundred ten million, seven hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 3907 7814 8443 11721 15628 16886 23442 25329 31256 33772 42977 46884 50658 50791 67544 85954 92873 93768 101316 101582 109759 128931 152373 171908 185746 202632 203164 219518 257862 278619 304746 329277 343816 371492 406328 439036 515724 557238 558701 609492 658554 742984 878072 1031448 1114476 1117402 1207349 1218984 1317108 1676103 2228952 2234804 2414698 2634216 3352206 3622047 4469608 4829396 6704412 7244094 9658792 13408824 14488188 28976376 32986801 65973602 98960403 131947204 197920806 263894408 362854811 395841612 428828413 725709622 791683224 857656826 1088564433 1286485239 1451419244 1715313652 2177128866 2572970478 2902838488 3430627304 4354257732 4717112543 5145940956 8708515464 9434225086 10291881912 14151337629 18868450172 28302675258 37736900344 56605350516 113210701032