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133111030133004 = 223711267719344643
BaseRepresentation
bin11110010001000001010011…
…101010101011000100001100
3122110022021211120001201102020
4132101001103222223010030
5114421342342203224004
61151034210230330140
740015645262421330
oct3621012352530414
9573267746051366
10133111030133004
1139460086349200
1212b199867b9950
135937415b3c831
1424c2872dcb7c0
15105c7cb5698d9
hex791053aab10c

133111030133004 has 144 divisors (see below), whose sum is σ = 390741999884544. Its totient is φ = 34523221898880.

The previous prime is 133111030132999. The next prime is 133111030133017. The reversal of 133111030133004 is 400331030111331.

133111030133004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2791294 + ... + 16553349.

Almost surely, 2133111030133004 is an apocalyptic number.

133111030133004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133111030133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195370999942272).

133111030133004 is an abundant number, since it is smaller than the sum of its proper divisors (257630969751540).

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

133111030133004 is a wasteful number, since it uses less digits than its factorization.

133111030133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19345356 (or 19345343 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133111030133004 its reverse (400331030111331), we get a palindrome (533442060244335).

The spelling of 133111030133004 in words is "one hundred thirty-three trillion, one hundred eleven billion, thirty million, one hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 677 726 847 924 1354 1452 1694 2031 2541 2708 3388 4062 4739 5082 7447 8124 9478 10164 14217 14894 18956 22341 28434 29788 44682 52129 56868 81917 89364 104258 156387 163834 208516 245751 312774 327668 491502 573419 625548 983004 1146838 1720257 2293676 3440514 6881028 19344643 38689286 58033929 77378572 116067858 135412501 212791073 232135716 270825002 406237503 425582146 541650004 638373219 812475006 851164292 1276746438 1489537511 1624950012 2340701803 2553492876 2979075022 4468612533 4681403606 5958150044 7022105409 8937225066 9362807212 13096323311 14044210818 16384912621 17874450132 26192646622 28088421636 32769825242 39288969933 49154737863 52385293244 65539650484 78577939866 91674263177 98309475726 144059556421 157155879732 183348526354 196618951452 275022789531 288119112842 366697052708 432178669263 550045579062 576238225684 864357338526 1008416894947 1100091158124 1584655120631 1728714677052 2016833789894 3025250684841 3169310241262 4033667579788 4753965361893 6050501369682 6338620482524 9507930723786 11092585844417 12101002739364 19015861447572 22185171688834 33277757533251 44370343377668 66555515066502 133111030133004