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112402311520 = 2552235036263
BaseRepresentation
bin110100010101110110…
…0110010100101100000
3101202010111210001020211
41220223230302211200
53320144442432040
6123345323343504
711056301612062
oct1505354624540
9352114701224
10112402311520
11437401a1334
121994b381b94
13a7a4114a05
145624285732
152dcce788ea
hex1a2bb32960

112402311520 has 96 divisors (see below), whose sum is σ = 267314245632. Its totient is φ = 44663188992.

The previous prime is 112402311487. The next prime is 112402311607. The reversal of 112402311520 is 25113204211.

It is a junction number, because it is equal to n+sod(n) for n = 112402311491 and 112402311500.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17943909 + ... + 17950171.

It is an arithmetic number, because the mean of its divisors is an integer number (2784523392).

Almost surely, 2112402311520 is an apocalyptic number.

112402311520 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 112402311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133657122816).

112402311520 is an abundant number, since it is smaller than the sum of its proper divisors (154911934112).

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

112402311520 is a wasteful number, since it uses less digits than its factorization.

112402311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 112402311520 its reverse (25113204211), we get a palindrome (137515515731).

The spelling of 112402311520 in words is "one hundred twelve billion, four hundred two million, three hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 503 892 1006 1115 1784 2012 2230 2515 3568 4024 4460 5030 6263 7136 8048 8920 10060 12526 16096 17840 20120 25052 31315 35680 40240 50104 62630 80480 100208 112169 125260 200416 224338 250520 448676 501040 560845 897352 1002080 1121690 1396649 1794704 2243380 2793298 3150289 3589408 4486760 5586596 6300578 6983245 8973520 11173192 12601156 13966490 15751445 17947040 22346384 25202312 27932980 31502890 44692768 50404624 55865960 63005780 100809248 111731920 126011560 223463840 252023120 504046240 702514447 1405028894 2810057788 3512572235 5620115576 7025144470 11240231152 14050288940 22480462304 28100577880 56201155760 112402311520