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112434423240 = 233567131106751
BaseRepresentation
bin110100010110110011…
…1010010010111001000
3101202012202012111020210
41220231213102113020
53320231203020430
6123352431521120
711060141554206
oct1505547222710
9352182174223
10112434423240
1143757334347
121995a0891a0
13a7aa978c29
145628644076
152dd0bbd2b0
hex1a2d9d25c8

112434423240 has 128 divisors (see below), whose sum is σ = 344954142720. Its totient is φ = 29309280000.

The previous prime is 112434423221. The next prime is 112434423259. The reversal of 112434423240 is 42324434211.

112434423240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112434423221) and next prime (112434423259).

It is a super-2 number, since 2×1124344232402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112434423198 and 112434423207.

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, 999865 + ... + 1106615.

It is an arithmetic number, because the mean of its divisors is an integer number (2694954240).

Almost surely, 2112434423240 is an apocalyptic number.

112434423240 is a gapful number since it is divisible by the number (10) 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 112434423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172477071360).

112434423240 is an abundant number, since it is smaller than the sum of its proper divisors (232519719480).

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

112434423240 is a wasteful number, since it uses less digits than its factorization.

112434423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106963 (or 106959 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 112434423240 its reverse (42324434211), we get a palindrome (154758857451).

The spelling of 112434423240 in words is "one hundred twelve billion, four hundred thirty-four million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 131 134 201 262 268 335 393 402 524 536 655 670 786 804 1005 1048 1310 1340 1572 1608 1965 2010 2620 2680 3144 3930 4020 5240 7860 8040 8777 15720 17554 26331 35108 43885 52662 70216 87770 105324 106751 131655 175540 210648 213502 263310 320253 351080 427004 526620 533755 640506 854008 1053240 1067510 1281012 1601265 2135020 2562024 3202530 4270040 6405060 7152317 12810120 13984381 14304634 21456951 27968762 28609268 35761585 41953143 42913902 55937524 57218536 69921905 71523170 83906286 85827804 107284755 111875048 139843810 143046340 167812572 171655608 209765715 214569510 279687620 286092680 335625144 419531430 429139020 559375240 839062860 858278040 936953527 1678125720 1873907054 2810860581 3747814108 4684767635 5621721162 7495628216 9369535270 11243442324 14054302905 18739070540 22486884648 28108605810 37478141080 56217211620 112434423240