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112034423124 = 22321312713114389
BaseRepresentation
bin110100001010111000…
…1011010000101010100
3101201011212112101020200
41220111301122011110
53313421303014444
6123245022300500
711044213612131
oct1502561320524
9351155471220
10112034423124
1143571569338
1219868127730
13a745b37580
1455cb47d588
152daaa09969
hex1a15c5a154

112034423124 has 144 divisors (see below), whose sum is σ = 309752002560. Its totient is φ = 33937263360.

The previous prime is 112034423117. The next prime is 112034423131. The reversal of 112034423124 is 421324430211.

112034423124 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 344 + 2 + 312 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (112034423117) and next prime (112034423131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7778922 + ... + 7793310.

Almost surely, 2112034423124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112034423124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154876001280).

112034423124 is an abundant number, since it is smaller than the sum of its proper divisors (197717579436).

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

112034423124 is a wasteful number, since it uses less digits than its factorization.

112034423124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670 (or 14665 counting only the distinct ones).

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

Adding to 112034423124 its reverse (421324430211), we get a palindrome (533358853335).

The spelling of 112034423124 in words is "one hundred twelve billion, thirty-four million, four hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 131 156 234 254 262 381 393 468 508 524 762 786 1143 1179 1524 1572 1651 1703 2286 2358 3302 3406 4572 4716 4953 5109 6604 6812 9906 10218 14389 14859 15327 16637 19812 20436 28778 29718 30654 33274 43167 49911 57556 59436 61308 66548 86334 99822 129501 149733 172668 187057 199644 216281 259002 299466 374114 432562 518004 561171 598932 648843 748228 865124 1122342 1297686 1683513 1827403 1884959 1946529 2244684 2595372 3367026 3654806 3769918 3893058 5482209 5654877 6734052 7309612 7539836 7786116 10964418 11309754 16446627 16964631 21928836 22619508 23756239 24504467 32893254 33929262 47512478 49008934 65786508 67858524 71268717 73513401 95024956 98017868 142537434 147026802 213806151 220540203 239389793 285074868 294053604 427612302 441080406 478779586 718169379 855224604 882160812 957559172 1436338758 2154508137 2872677516 3112067309 4309016274 6224134618 8618032548 9336201927 12448269236 18672403854 28008605781 37344807708 56017211562 112034423124