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10130011122 = 23711414312437
BaseRepresentation
bin10010110111100101…
…11011001111110010
3222010222101212212010
421123302323033302
5131221240323442
64353105143350
7506013450060
oct113362731762
928128355763
1010130011122
114329144320
121b6862ab56
13c5590b02a
146c1527030
153e44deb9c
hex25bcbb3f2

10130011122 has 128 divisors (see below), whose sum is σ = 26479208448. Its totient is φ = 2507097600.

The previous prime is 10130011117. The next prime is 10130011201. The reversal of 10130011122 is 22111003101.

It is a junction number, because it is equal to n+sod(n) for n = 10130011098 and 10130011107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808288 + ... + 820724.

It is an arithmetic number, because the mean of its divisors is an integer number (206868816).

Almost surely, 210130011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13239604224).

10130011122 is an abundant number, since it is smaller than the sum of its proper divisors (16349197326).

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

10130011122 is a wasteful number, since it uses less digits than its factorization.

10130011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10130011122 its reverse (22111003101), we get a palindrome (32241014223).

The spelling of 10130011122 in words is "ten billion, one hundred thirty million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 43 66 77 82 86 123 129 154 231 246 258 287 301 451 462 473 574 602 861 902 903 946 1353 1419 1722 1763 1806 2706 2838 3157 3311 3526 5289 6314 6622 9471 9933 10578 12341 12437 18942 19393 19866 24682 24874 37023 37311 38786 58179 74046 74622 87059 116358 135751 136807 174118 261177 271502 273614 407253 410421 509917 522354 534791 814506 820842 957649 1019834 1069582 1529751 1604373 1915298 2872947 3059502 3208746 3569419 3743537 5609087 5745894 5882701 7138838 7487074 10708257 11218174 11230611 11765402 16827261 17648103 21416514 21926431 22461222 33654522 35296206 39263609 41178907 43852862 65779293 78527218 82357814 117790827 123536721 131558586 153485017 235581654 241190741 247073442 306970034 460455051 482381482 723572223 920910102 1447144446 1688335187 3376670374 5065005561 10130011122