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112302103120 = 2454013500689
BaseRepresentation
bin110100010010110111…
…0100001101001010000
3101201212112012221011121
41220211232201221100
53314443314244440
6123331343452024
711053644061234
oct1504556415120
9351775187147
10112302103120
1143699678279
12199218b7014
13a78942a3bc
145614c3c5c4
152dc428234a
hex1a25ba1a50

112302103120 has 40 divisors (see below), whose sum is σ = 261753592680. Its totient is φ = 44808806400.

The previous prime is 112302103099. The next prime is 112302103141. The reversal of 112302103120 is 21301203211.

It is an interprime number because it is at equal distance from previous prime (112302103099) and next prime (112302103141).

It can be written as a sum of positive squares in 4 ways, for example, as 23242831936 + 89059271184 = 152456^2 + 298428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1123021031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112302103094 and 112302103103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718265 + ... + 1782424.

It is an arithmetic number, because the mean of its divisors is an integer number (6543839817).

Almost surely, 2112302103120 is an apocalyptic number.

112302103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112302103120 is an abundant number, since it is smaller than the sum of its proper divisors (149451489560).

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

112302103120 is a wasteful number, since it uses less digits than its factorization.

112302103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501103 (or 3501097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112302103120 its reverse (21301203211), we get a palindrome (133603306331).

The spelling of 112302103120 in words is "one hundred twelve billion, three hundred two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 6416 8020 16040 32080 3500689 7001378 14002756 17503445 28005512 35006890 56011024 70013780 140027560 280055120 1403776289 2807552578 5615105156 7018881445 11230210312 14037762890 22460420624 28075525780 56151051560 112302103120