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111241114420232 = 231723791632761747
BaseRepresentation
bin11001010010110001010111…
…000111000000010000001000
3112120212112202112021211202102
4121102301113013000100020
5104040033300242421412
61032331243521052532
732300622342156146
oct3122612707002010
9476775675254672
10111241114420232
1132499101049785
1210587334187148
134a0bcb879ab74
141d68154a4a596
15ccd983b688c2
hex652c571c0408

111241114420232 has 128 divisors (see below), whose sum is σ = 234797186764800. Its totient is φ = 49135570818048.

The previous prime is 111241114420223. The next prime is 111241114420253. The reversal of 111241114420232 is 232024411142111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111241114420195 and 111241114420204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38898383 + ... + 41660129.

It is an arithmetic number, because the mean of its divisors is an integer number (1834353021600).

Almost surely, 2111241114420232 is an apocalyptic number.

It is an amenable number.

111241114420232 is an abundant number, since it is smaller than the sum of its proper divisors (123556072344568).

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

111241114420232 is a wasteful number, since it uses less digits than its factorization.

111241114420232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762035 (or 2762031 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 111241114420232 its reverse (232024411142111), we get a palindrome (343265525562343).

The spelling of 111241114420232 in words is "one hundred eleven trillion, two hundred forty-one billion, one hundred fourteen million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 17 23 34 46 68 79 92 136 158 163 184 316 326 391 632 652 782 1304 1343 1564 1817 2686 2771 3128 3634 3749 5372 5542 7268 7498 10744 11084 12877 14536 14996 22168 25754 29992 30889 51508 61778 63733 103016 123556 127466 218909 247112 254932 296171 437818 509864 592342 875636 1184684 1751272 2369368 2761747 5034907 5523494 10069814 11046988 20139628 22093976 40279256 46949699 63520181 93899398 127040362 187798796 218178013 254080724 375597592 436356026 450164761 508161448 872712052 900329522 1079843077 1745424104 1800659044 2159686154 3601318088 3709026221 4319372308 5018094299 7418052442 7652800937 8638744616 10036188598 10353789503 14836104884 15305601874 20072377196 20707579006 29672209768 30611203748 35563016119 40144754392 41415158012 61222407496 71126032238 82830316024 85307603083 142252064476 170615206166 176014421551 284504128952 341230412332 352028843102 604571274023 682460824664 704057686204 817949370737 1209142548046 1408115372408 1635898741474 2418285096092 3271797482948 4836570192184 6543594965896 13905139302529 27810278605058 55620557210116 111241114420232