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113214112424 = 23717196793419
BaseRepresentation
bin110100101110000010…
…1100100001010101000
3101211020002022210201222
41221130011210022220
53323330303044144
6124002043201212
711115360035420
oct1513405441250
9354202283658
10113214112424
1144017462376
1219b37216208
13a8a336a08a
1456a0003480
152e293822ee
hex1a5c1642a8

113214112424 has 128 divisors (see below), whose sum is σ = 274430592000. Its totient is φ = 42616544256.

The previous prime is 113214112393. The next prime is 113214112447. The reversal of 113214112424 is 424211412311.

It is a super-2 number, since 2×1132141124242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113214112393 and 113214112402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165187 + ... + 1258605.

It is an arithmetic number, because the mean of its divisors is an integer number (2143989000).

Almost surely, 2113214112424 is an apocalyptic number.

113214112424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113214112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137215296000).

113214112424 is an abundant number, since it is smaller than the sum of its proper divisors (161216479576).

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

113214112424 is a wasteful number, since it uses less digits than its factorization.

113214112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93535 (or 93531 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

Adding to 113214112424 its reverse (424211412311), we get a palindrome (537425524735).

The spelling of 113214112424 in words is "one hundred thirteen billion, two hundred fourteen million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 67 68 76 119 133 134 136 152 238 266 268 323 469 476 532 536 646 938 952 1064 1139 1273 1292 1876 2261 2278 2546 2584 3752 4522 4556 5092 7973 8911 9044 9112 10184 15946 17822 18088 21641 31892 35644 43282 63784 71288 86564 93419 151487 173128 186838 302974 373676 605948 653933 747352 1211896 1307866 1588123 1774961 2615732 3176246 3549922 5231464 6259073 6352492 7099844 11116861 12424727 12518146 12704984 14199688 22233722 24849454 25036292 30174337 43813511 44467444 49698908 50072584 60348674 87627022 88934888 99397816 106404241 118922387 120697348 175254044 211220359 212808482 237844774 241394696 350508088 422440718 425616964 475689548 744829687 832456709 844881436 851233928 951379096 1489659374 1664913418 1689762872 2021680579 2979318748 3329826836 4043361158 5958637496 6659653672 8086722316 14151764053 16173444632 28303528106 56607056212 113214112424