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103314112 = 26111011453
BaseRepresentation
bin1100010100001…
…11001011000000
321012101220022121
412022013023000
5202422022422
614130214024
72363104216
oct612071300
9235356277
10103314112
1153355470
122a724314
1318534115
14da14cb6
15910b8c7
hex62872c0

103314112 has 56 divisors (see below), whose sum is σ = 226021392. Its totient is φ = 46464000.

The previous prime is 103314109. The next prime is 103314139. The reversal of 103314112 is 211413301.

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

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, 70378 + ... + 71830.

Almost surely, 2103314112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113010696).

103314112 is an abundant number, since it is smaller than the sum of its proper divisors (122707280).

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

103314112 is a wasteful number, since it uses less digits than its factorization.

103314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

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

The square root of 103314112 is about 10164.3549721564. The cubic root of 103314112 is about 469.2308409402.

Adding to 103314112 its reverse (211413301), we get a palindrome (314727413).

The spelling of 103314112 in words is "one hundred three million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 1111 1453 1616 2222 2906 3232 4444 5812 6464 8888 11624 15983 17776 23248 31966 35552 46496 63932 71104 92992 127864 146753 255728 293506 511456 587012 1022912 1174024 1614283 2348048 3228566 4696096 6457132 9392192 12914264 25828528 51657056 103314112