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113430103227064 = 2313232831075315583
BaseRepresentation
bin11001110010101000000001…
…000000100111101010111000
3112212121210220220220210211201
4121302220001000213222320
5104331414322411231224
61041125023044103544
732615024462056231
oct3162500100475270
9485553826823751
10113430103227064
1133162489178318
121087b620094bb4
134b3a54a008090
142002091036088
15d1a89d569a44
hex672a01027ab8

113430103227064 has 128 divisors (see below), whose sum is σ = 239882103336960. Its totient is φ = 49891376037888.

The previous prime is 113430103227017. The next prime is 113430103227121. The reversal of 113430103227064 is 460722301034311.

It is a congruent 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, 7279085017 + ... + 7279100599.

It is an arithmetic number, because the mean of its divisors is an integer number (1874078932320).

Almost surely, 2113430103227064 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 113430103227064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119941051668480).

113430103227064 is an abundant number, since it is smaller than the sum of its proper divisors (126452000109896).

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

113430103227064 is a wasteful number, since it uses less digits than its factorization.

113430103227064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26661 (or 26657 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 113430103227064 in words is "one hundred thirteen trillion, four hundred thirty billion, one hundred three million, two hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 283 299 566 598 1132 1196 2264 2392 3679 6509 7358 10753 13018 14716 15583 21506 26036 29432 31166 43012 52072 62332 84617 86024 124664 139789 169234 202579 247319 279578 338468 358409 405158 494638 559156 676936 716818 810316 989276 1118312 1433636 1620632 1978552 2867272 3043099 3215147 4409989 4659317 6086198 6430294 8819978 9318634 12172396 12860588 17639956 18637268 24344792 25721176 35279912 37274536 39560287 57329857 69991277 79120574 101429747 114659714 139982554 158241148 167563999 202859494 229319428 279965108 316482296 335127998 405718988 458638856 559930216 670255996 811437976 909886601 1318586711 1340511992 1819773202 2178331987 2637173422 3639546404 3853971977 4356663974 5274346844 7279092808 7707943954 8713327948 10548693688 15415887908 17426655896 30831775816 47420611717 50101635701 94841223434 100203271402 189682446868 200406542804 379364893736 400813085608 616467952321 1090674069491 1232935904642 2181348138982 2465871809284 4362696277964 4931743618568 8725392555928 14178762903383 28357525806766 56715051613532 113430103227064