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112318149321 = 3272159592
BaseRepresentation
bin110100010011010101…
…1101111001011001001
3101201220122102011102100
41220212223233023021
53320011421234241
6123333115424013
711054230342200
oct1504653571311
9351818364370
10112318149321
11436a7737aa4
1219927155009
13a78c857cb1
145617018237
152dc58a19b6
hex1a26aef2c9

112318149321 has 27 divisors (see below), whose sum is σ = 188736879981. Its totient is φ = 64177777944.

The previous prime is 112318149277. The next prime is 112318149329. The reversal of 112318149321 is 123941813211.

It is a happy number.

The square root of 112318149321 is 335139.

It is a perfect power (a square), and thus also a powerful number.

112318149321 is a `hidden beast` number, since 1 + 1 + 2 + 318 + 14 + 9 + 321 = 666.

It is not a de Polignac number, because 112318149321 - 225 = 112284594889 is a prime.

It is a super-2 number, since 2×1123181493212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112318149329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7029940 + ... + 7045898.

Almost surely, 2112318149321 is an apocalyptic number.

112318149321 is the 335139-th square number.

112318149321 is the 167570-th centered octagonal number.

It is an amenable number.

112318149321 is a deficient number, since it is larger than the sum of its proper divisors (76418730660).

112318149321 is an frugal number, since it uses more digits than its factorization.

112318149321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31938 (or 15969 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

Multiplying 112318149321 by its sum of digits (36), we get a square (4043453375556 = 20108342).

The spelling of 112318149321 in words is "one hundred twelve billion, three hundred eighteen million, one hundred forty-nine thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 15959 47877 111713 143631 335139 781991 1005417 2345973 7037919 254689681 764069043 1782827767 2292207129 5348483301 12479794369 16045449903 37439383107 112318149321