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100101340120230 = 23451312090345131
BaseRepresentation
bin10110110000101010101000…
…110100011100010010100110
3111010102121001111122000220000
4112300222220310130102212
5101110030021032321410
6552521530521122130
730041040345016641
oct2660525064342246
9433377044560800
10100101340120230
1129993815952459
12b288388329346
1343b1692499b27
141aa0d05c38a58
15b88ceb4c1dc0
hex5b0aa8d1c4a6

100101340120230 has 160 divisors (see below), whose sum is σ = 271235033042688. Its totient is φ = 26488067860800.

The previous prime is 100101340120193. The next prime is 100101340120241. The reversal of 100101340120230 is 32021043101001.

100101340120230 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 13 + 401 + 20 + 230 = 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 79 ways as a sum of consecutive naturals, for example, 2217994765 + ... + 2218039895.

Almost surely, 2100101340120230 is an apocalyptic number.

100101340120230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101340120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135617516521344).

100101340120230 is an abundant number, since it is smaller than the sum of its proper divisors (171133692922458).

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

100101340120230 is a wasteful number, since it uses less digits than its factorization.

100101340120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66184 (or 66175 counting only the distinct ones).

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

Adding to 100101340120230 its reverse (32021043101001), we get a palindrome (132122383221231).

The spelling of 100101340120230 in words is "one hundred trillion, one hundred one billion, three hundred forty million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 262 270 393 405 655 786 810 1179 1310 1965 2358 3537 3930 5895 7074 10611 11790 17685 20903 21222 35370 41806 45131 53055 62709 90262 104515 106110 125418 135393 188127 209030 225655 270786 313545 376254 406179 451310 564381 627090 676965 812358 940635 1128762 1218537 1353930 1693143 1881270 2030895 2437074 2738293 2821905 3386286 3655611 4061790 5476586 5643810 5912161 6092685 7311222 8214879 8465715 11824322 12185370 13691465 16429758 16931430 17736483 18278055 24644637 27382930 29560805 35472966 36556110 41074395 49289274 53209449 59121610 73933911 82148790 88682415 106418898 123223185 147867822 159628347 177364830 221801733 246446370 266047245 319256694 369669555 443603466 478885041 532094490 739339110 798141735 943373293 957770082 1109008665 1596283470 1886746586 2218017330 2394425205 2830119879 4716866465 4788850410 5660239758 8490359637 9433732930 14150599395 16980719274 25471078911 28301198790 42451798185 50942157822 76413236733 84903596370 123581901383 127355394555 152826473466 247163802766 254710789110 370745704149 382066183665 617909506915 741491408298 764132367330 1112237112447 1235819013830 1853728520745 2224474224894 3336711337341 3707457041490 5561185562235 6673422674682 10010134012023 11122371124470 16683556686705 20020268024046 33367113373410 50050670060115 100101340120230