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111222340434 = 2348363113109
BaseRepresentation
bin110011110010101011…
…1100011101101010010
3101122002021110022020000
41213211113203231102
53310240404343214
6123032252430430
711015123203122
oct1474527435522
9348067408200
10111222340434
1143195125617
1219680178416
13a646813b7a
14555168ac82
152d5e597809
hex19e55e3b52

111222340434 has 80 divisors (see below), whose sum is σ = 252642075840. Its totient is φ = 36566601120.

The previous prime is 111222340409. The next prime is 111222340561. The reversal of 111222340434 is 434043222111.

111222340434 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 223 + 4 + 0 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111222340398 and 111222340407.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8477872 + ... + 8490980.

It is an arithmetic number, because the mean of its divisors is an integer number (3158025948).

Almost surely, 2111222340434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111222340434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126321037920).

111222340434 is an abundant number, since it is smaller than the sum of its proper divisors (141419735406).

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

111222340434 is a wasteful number, since it uses less digits than its factorization.

111222340434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13837 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 111222340434 its reverse (434043222111), we get a palindrome (545265562545).

The spelling of 111222340434 in words is "one hundred eleven billion, two hundred twenty-two million, three hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 631 747 1262 1494 1893 2241 3786 4482 5679 6723 11358 13109 13446 17037 26218 34074 39327 51111 52373 78654 102222 104746 117981 157119 235962 314238 353943 471357 707886 942714 1061829 1088047 1414071 2123658 2176094 2828142 3264141 4242213 6528282 8271779 8484426 9792423 16543558 19584846 24815337 29377269 49630674 58754538 74446011 88131807 148892022 176263614 223338033 446676066 670014099 686557657 1340028198 1373115314 2059672971 4119345942 6179018913 12358037826 18537056739 37074113478 55611170217 111222340434