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100222111434042 = 232133139173527219
BaseRepresentation
bin10110110010011011000111…
…010110011100010100111010
3111010212010210021011110000200
4112302123013112130110322
5101114014341011342132
6553053222525343030
730052544231161443
oct2662330726342472
9433763707143020
10100222111434042
1129a2aa60135004
12b2a7872407a76
1343bcb9b4020b0
141aa6ac17a02ca
15b8c019034d7c
hex5b26c759c53a

100222111434042 has 96 divisors (see below), whose sum is σ = 241456889157120. Its totient is φ = 29835185086080.

The previous prime is 100222111434019. The next prime is 100222111434077. The reversal of 100222111434042 is 240434111222001.

100222111434042 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 211 + 1 + 43 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100222111433997 and 100222111434015.

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, 26650309 + ... + 30177527.

It is an arithmetic number, because the mean of its divisors is an integer number (2515175928720).

Almost surely, 2100222111434042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222111434042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120728444578560).

100222111434042 is an abundant number, since it is smaller than the sum of its proper divisors (141234777723078).

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

100222111434042 is a wasteful number, since it uses less digits than its factorization.

100222111434042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531188 (or 3531185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100222111434042 its reverse (240434111222001), we get a palindrome (340656222656043).

The spelling of 100222111434042 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, four hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 3917 7254 7834 11751 23502 35253 50921 70506 101842 121427 152763 242854 305526 364281 458289 728562 916578 1092843 1578551 2185686 3157102 3527219 4735653 7054438 9471306 10581657 14206959 21163314 28413918 31744971 45853847 63489942 91707694 109343789 137561541 218687578 275123082 328031367 412684623 656062734 825369246 984094101 1421469257 1968188202 2842938514 4264407771 8528815542 12793223313 13816116823 25586446626 27632233646 41448350469 82896700938 124345051407 179609518699 248690102814 359219037398 428299621513 538828556097 856599243026 1077657112194 1284898864539 1616485668291 2569797729078 3232971336582 3854696593617 5567895079669 7709393187234 11135790159338 16703685239007 33407370478014 50111055717021 100222111434042