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100422212431242 = 231347251832913103
BaseRepresentation
bin10110110101010101011110…
…010011001010110110001010
3111011120021021122111022122010
4112311111132103022312022
5101130304142340244432
6553325154424240350
730103160016453102
oct2665253623126612
9434507248438563
10100422212431242
1129aa7903a08969
12b31a5b79100b6
134405a0a623910
141ab2665052202
15b9232b2a93cc
hex5b555e4cad8a

100422212431242 has 128 divisors (see below), whose sum is σ = 221819614248960. Its totient is φ = 30115313856000.

The previous prime is 100422212431213. The next prime is 100422212431253. The reversal of 100422212431242 is 242134212224001.

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, 7664056063 + ... + 7664069165.

It is an arithmetic number, because the mean of its divisors is an integer number (1732965736320).

Almost surely, 2100422212431242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100422212431242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110909807124480).

100422212431242 is an abundant number, since it is smaller than the sum of its proper divisors (121397401817718).

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

100422212431242 is a wasteful number, since it uses less digits than its factorization.

100422212431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21748.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 100422212431242 its reverse (242134212224001), we get a palindrome (342556424655243).

The spelling of 100422212431242 in words is "one hundred trillion, four hundred twenty-two billion, two hundred twelve million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 251 282 502 611 753 1222 1506 1833 3263 3666 6526 8329 9789 11797 13103 16658 19578 23594 24987 26206 35391 39309 49974 70782 78618 108277 153361 170339 216554 306722 324831 340678 391463 460083 511017 615841 649662 782926 920166 1022034 1174389 1231682 1847523 2090579 2348778 3288853 3695046 4181158 5089019 6271737 6577706 8005933 9866559 10178038 12543474 15267057 16011866 19733118 24017799 27177527 30534114 42755089 48035598 54355054 81532581 85510178 98257213 109134887 128265267 154576091 163065162 196514426 218269774 256530534 294771639 309152182 327404661 463728273 589543278 654809322 927456546 1277343769 1418753531 2009489183 2554687538 2837507062 3832031307 4018978366 4256260593 5129339689 6028467549 7664062614 8512521186 10258679378 12056935098 15388019067 27392856637 30776038134 54785713274 66681415957 82178569911 133362831914 164357139822 200044247871 356107136281 400088495742 712214272562 1068321408843 1287464261939 2136642817686 2574928523878 3862392785817 7724785571634 16737035405207 33474070810414 50211106215621 100422212431242