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111004114056 = 233111741603257
BaseRepresentation
bin110011101100001011…
…1000101110010001000
3101121112001211020220120
41213120113011302020
53304314023122211
6122554455223240
711006533254453
oct1473027056210
9347461736816
10111004114056
1143092a23940
121961b077b20
13a610547834
1455306c249a
152d4a33cd06
hex19d85c5c88

111004114056 has 128 divisors (see below), whose sum is σ = 328365394560. Its totient is φ = 30886707200.

The previous prime is 111004114049. The next prime is 111004114057. The reversal of 111004114056 is 650411400111.

It is a super-2 number, since 2×1110041140562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (111004114057) by changing a digit.

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, 117621 + ... + 485636.

It is an arithmetic number, because the mean of its divisors is an integer number (2565354645).

Almost surely, 2111004114056 is an apocalyptic number.

It is an amenable number.

111004114056 is an abundant number, since it is smaller than the sum of its proper divisors (217361280504).

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

111004114056 is a wasteful number, since it uses less digits than its factorization.

111004114056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603335 (or 603331 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 111004114056 its reverse (650411400111), we get a palindrome (761415514167).

The spelling of 111004114056 in words is "one hundred eleven billion, four million, one hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 41 44 51 66 68 82 88 102 123 132 136 164 187 204 246 264 328 374 408 451 492 561 697 748 902 984 1122 1353 1394 1496 1804 2091 2244 2706 2788 3608 4182 4488 5412 5576 7667 8364 10824 15334 16728 23001 30668 46002 61336 92004 184008 603257 1206514 1809771 2413028 3619542 4826056 6635827 7239084 10255369 13271654 14478168 19907481 20510738 24733537 26543308 30766107 39814962 41021476 49467074 53086616 61532214 74200611 79629924 82042952 98934148 112809059 123064428 148401222 159259848 197868296 225618118 246128856 272068907 296802444 338427177 420470129 451236236 544137814 593604888 676854354 816206721 840940258 902472472 1088275628 1261410387 1353708708 1632413442 1681880516 2176551256 2522820774 2707417416 3264826884 3363761032 4625171419 5045641548 6529653768 9250342838 10091283096 13875514257 18500685676 27751028514 37001371352 55502057028 111004114056