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113210001342 = 23237349571853
BaseRepresentation
bin110100101101111010…
…1111000011110111110
3101211012210120221101200
41221123311320132332
53323323230020332
6124001415120330
711115310063644
oct1513365703676
9354183527350
10113210001342
1144015104689
1219b359730a6
13a8a255aa99
14569d653194
152e28d1e17c
hex1a5bd787be

113210001342 has 96 divisors (see below), whose sum is σ = 253378725600. Its totient is φ = 36504587520.

The previous prime is 113210001329. The next prime is 113210001361. The reversal of 113210001342 is 243100012311.

113210001342 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 0 + 0 + 1 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132719388 + ... + 132720240.

It is an arithmetic number, because the mean of its divisors is an integer number (2639361725).

Almost surely, 2113210001342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113210001342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126689362800).

113210001342 is an abundant number, since it is smaller than the sum of its proper divisors (140168724258).

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

113210001342 is a wasteful number, since it uses less digits than its factorization.

113210001342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113210001342 its reverse (243100012311), we get a palindrome (356310013653).

The spelling of 113210001342 in words is "one hundred thirteen billion, two hundred ten million, one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 349 571 666 698 853 1047 1142 1706 1713 2094 2559 3141 3426 5118 5139 6282 7677 10278 12913 15354 21127 25826 31561 38739 42254 63122 63381 77478 94683 116217 126762 189366 190143 199279 232434 284049 297697 380286 398558 487063 568098 595394 597837 893091 974126 1195674 1461189 1786182 1793511 2679273 2922378 3587022 4383567 5358546 7373323 8767134 11014789 14746646 18021331 22029578 22119969 33044367 36042662 44239938 54063993 66088734 66359907 99133101 108127986 132719814 162191979 169984987 198266202 324383958 339969974 509954961 1019909922 1529864883 3059729766 6289444519 12578889038 18868333557 37736667114 56605000671 113210001342