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123021422442 = 232315315112753
BaseRepresentation
bin111001010010010100…
…1011110111101101010
3102202112120111202220100
41302210221132331222
54003421441004232
6132303144010230
711613404560122
oct1624451367552
9382476452810
10123021422442
114819a427566
121ba13760976
13b7a715c5b9
145d50727c82
15330037bc7c
hex1ca4a5ef6a

123021422442 has 96 divisors (see below), whose sum is σ = 280623522816. Its totient is φ = 38895667200.

The previous prime is 123021422401. The next prime is 123021422453. The reversal of 123021422442 is 244224120321.

It is a happy number.

123021422442 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 214 + 2 + 2 + 442 = 666.

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, 44684938 + ... + 44687690.

It is an arithmetic number, because the mean of its divisors is an integer number (2923161696).

Almost surely, 2123021422442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123021422442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140311761408).

123021422442 is an abundant number, since it is smaller than the sum of its proper divisors (157602100374).

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

123021422442 is a wasteful number, since it uses less digits than its factorization.

123021422442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 123021422442 its reverse (244224120321), we get a palindrome (367245542763).

The spelling of 123021422442 in words is "one hundred twenty-three billion, twenty-one million, four hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1511 1643 2753 3022 3286 4533 4929 5506 8259 9066 9858 13599 14787 16518 24777 27198 29574 46841 49554 80083 85343 93682 140523 145909 160166 170686 240249 256029 281046 291818 421569 437727 480498 512058 720747 768087 843138 875454 1313181 1441494 1536174 2482573 2626362 4159783 4523179 4965146 7447719 8319566 9046358 12479349 13569537 14895438 22343157 24958698 27139074 37438047 40708611 44686314 74876094 81417222 128953273 220468499 257906546 386859819 440936998 661405497 773719638 1160579457 1322810994 1984216491 2321158914 3968432982 6834523469 13669046938 20503570407 41007140814 61510711221 123021422442