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113431142021142 = 231153181383467773
BaseRepresentation
bin11001110010101000111110…
…111011010011100000010110
3112212121220121022121000102110
4121302220332323103200112
5104331423434324134032
61041125314113051450
732615062304503341
oct3162507673234026
9485556538530373
10113431142021142
1133162971588720
121087b86bb56b86
134b3a6842a8c2a
14200214cda1458
15d1a90e8607cc
hex672a3eed3816

113431142021142 has 128 divisors (see below), whose sum is σ = 254211353690112. Its totient is φ = 33450562828800.

The previous prime is 113431142021111. The next prime is 113431142021159. The reversal of 113431142021142 is 241120241134311.

It is a congruent number.

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, 242257968 + ... + 242725740.

It is an arithmetic number, because the mean of its divisors is an integer number (1986026200704).

Almost surely, 2113431142021142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113431142021142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127105676845056).

113431142021142 is an abundant number, since it is smaller than the sum of its proper divisors (140780211668970).

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

113431142021142 is a wasteful number, since it uses less digits than its factorization.

113431142021142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468406.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 113431142021142 its reverse (241120241134311), we get a palindrome (354551383155453).

The spelling of 113431142021142 in words is "one hundred thirteen trillion, four hundred thirty-one billion, one hundred forty-two million, twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 181 318 362 383 543 583 766 1086 1149 1166 1749 1991 2298 3498 3982 4213 5973 8426 9593 11946 12639 19186 20299 25278 28779 40598 57558 60897 69323 105523 121794 138646 207969 211046 223289 316569 415938 446578 467773 633138 669867 762553 935546 1339734 1403319 1525106 2287659 2806638 3674119 4575318 5145503 7348238 10291006 11022357 15436509 22044714 24791969 30873018 40415309 49583938 74375907 80830618 84666913 121245927 148751814 169333826 179157059 242491854 254000739 272711659 358314118 508001478 537471177 545423318 818134977 931336043 1074942354 1636269954 1862672086 1970727649 2794008129 3941455298 4487346389 5588016258 5912182947 8974692778 9495324127 11824365894 13462039167 18990648254 26924078334 28485972381 32427427679 49360810279 56971944762 64854855358 97282283037 98721620558 104448565397 148082430837 194564566074 208897130794 296164861674 313345696191 356701704469 626691392382 713403408938 1070105113407 1718653666987 2140210226814 3437307333974 5155961000961 10311922001922 18905190336857 37810380673714 56715571010571 113431142021142