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112332134040 = 23357241554891
BaseRepresentation
bin110100010011110000…
…1000101011010011000
3101201221121201122211220
41220213201011122120
53320024011242130
6123334335252040
711054460246030
oct1504741053230
9351847648756
10112332134040
1143704619a15
121992b97a020
13a792713489
145618c188c0
152dc6c15410
hex1a27845698

112332134040 has 128 divisors (see below), whose sum is σ = 386737528320. Its totient is φ = 25569331200.

The previous prime is 112332134023. The next prime is 112332134041. The reversal of 112332134040 is 40431233211.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112332134040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112332134041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75006 + ... + 479885.

It is an arithmetic number, because the mean of its divisors is an integer number (3021386940).

Almost surely, 2112332134040 is an apocalyptic number.

112332134040 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 112332134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193368764160).

112332134040 is an abundant number, since it is smaller than the sum of its proper divisors (274405394280).

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

112332134040 is a wasteful number, since it uses less digits than its factorization.

112332134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555153 (or 555149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112332134040 its reverse (40431233211), we get a palindrome (152763367251).

The spelling of 112332134040 in words is "one hundred twelve billion, three hundred thirty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 241 280 420 482 723 840 964 1205 1446 1687 1928 2410 2892 3374 3615 4820 5061 5784 6748 7230 8435 9640 10122 13496 14460 16870 20244 25305 28920 33740 40488 50610 67480 101220 202440 554891 1109782 1664673 2219564 2774455 3329346 3884237 4439128 5548910 6658692 7768474 8323365 11097820 11652711 13317384 15536948 16646730 19421185 22195640 23305422 31073896 33293460 38842370 46610844 58263555 66586920 77684740 93221688 116527110 133728731 155369480 233054220 267457462 401186193 466108440 534914924 668643655 802372386 936101117 1069829848 1337287310 1604744772 1872202234 2005930965 2674574620 2808303351 3209489544 3744404468 4011861930 4680505585 5349149240 5616606702 7488808936 8023723860 9361011170 11233213404 14041516755 16047447720 18722022340 22466426808 28083033510 37444044680 56166067020 112332134040