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113133220312 = 23729107739881
BaseRepresentation
bin110100101011101000…
…0111111000111011000
3101211000110010001121211
41221113100333013120
53323144101022222
6123550033312504
711113355335360
oct1512720770730
9354013101554
10113133220312
1143a85831992
1219b14105734
13a88c686918
1456933879a0
152e22204277
hex1a5743f1d8

113133220312 has 128 divisors (see below), whose sum is σ = 253761984000. Its totient is φ = 46260910080.

The previous prime is 113133220297. The next prime is 113133220327. The reversal of 113133220312 is 213022331311.

It is an interprime number because it is at equal distance from previous prime (113133220297) and next prime (113133220327).

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, 128414112 + ... + 128414992.

It is an arithmetic number, because the mean of its divisors is an integer number (1982515500).

Almost surely, 2113133220312 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 113133220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880992000).

113133220312 is an abundant number, since it is smaller than the sum of its proper divisors (140628763688).

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

113133220312 is a wasteful number, since it uses less digits than its factorization.

113133220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1765 counting only the distinct ones).

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

Adding to 113133220312 its reverse (213022331311), we get a palindrome (326155551623).

The spelling of 113133220312 in words is "one hundred thirteen billion, one hundred thirty-three million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 107 116 203 214 232 406 428 739 749 812 856 881 1478 1498 1624 1762 2956 2996 3103 3524 5173 5912 5992 6167 6206 7048 10346 12334 12412 20692 21431 21721 24668 24824 25549 41384 42862 43442 49336 51098 79073 85724 86884 94267 102196 150017 158146 171448 173768 178843 188534 204392 300034 316292 357686 377068 553511 600068 632584 651059 659869 715372 754136 1107022 1200136 1302118 1319738 1430744 2214044 2293117 2604236 2639476 2733743 4428088 4557413 4586234 5208472 5278952 5467486 9114826 9172468 10934972 16051819 18229652 18344936 18880711 19136201 21869944 32103638 36459304 37761422 38272402 64207276 69663313 75522844 76544804 128414552 132164977 139326626 151045688 153089608 264329954 278653252 487643191 528659908 557306504 975286382 1057319816 1950572764 2020236077 3901145528 4040472154 8080944308 14141652539 16161888616 28283305078 56566610156 113133220312