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112315454010 = 23352914344247
BaseRepresentation
bin110100010011010000…
…1011101001000111010
3101201220110100020011000
41220212201131020322
53320010224012020
6123332541545430
711054165415144
oct1504641351072
9351813306130
10112315454010
11436a6166a71
1219926275276
13a78c123236
145616915c94
152dc551d090
hex1a2685d23a

112315454010 has 64 divisors (see below), whose sum is σ = 309835756800. Its totient is φ = 28917999936.

The previous prime is 112315453993. The next prime is 112315454051. The reversal of 112315454010 is 10454513211.

112315454010 is a `hidden beast` number, since 112 + 3 + 1 + 5 + 4 + 540 + 1 + 0 = 666.

It is a super-2 number, since 2×1123154540102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7164294 + ... + 7179953.

It is an arithmetic number, because the mean of its divisors is an integer number (4841183700).

Almost surely, 2112315454010 is an apocalyptic number.

112315454010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112315454010 is an abundant number, since it is smaller than the sum of its proper divisors (197520302790).

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

112315454010 is a wasteful number, since it uses less digits than its factorization.

112315454010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344292 (or 14344286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 112315454010 its reverse (10454513211), we get a palindrome (122769967221).

The spelling of 112315454010 in words is "one hundred twelve billion, three hundred fifteen million, four hundred fifty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 14344247 28688494 43032741 71721235 86065482 129098223 143442470 215163705 258196446 387294669 415983163 430327410 645491115 774589338 831966326 1247949489 1290982230 1936473345 2079915815 2495898978 3743848467 3872946690 4159831630 6239747445 7487696934 11231545401 12479494890 18719242335 22463090802 37438484670 56157727005 112315454010