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106301712 = 24311201329
BaseRepresentation
bin1100101011000…
…00100100010000
321102000200112110
412111200210100
5204203123322
614314225320
72430356346
oct625404420
9242020473
10106301712
1155006060
122b725240
131903bc2a
1410191996
1594ebc0c
hex6560910

106301712 has 40 divisors (see below), whose sum is σ = 299579040. Its totient is φ = 32212480.

The previous prime is 106301693. The next prime is 106301747. The reversal of 106301712 is 217103601.

It is a super-2 number, since 2×1063017122 = 22600107948261888, which contains 22 as substring.

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, 100137 + ... + 101192.

It is an arithmetic number, because the mean of its divisors is an integer number (7489476).

Almost surely, 2106301712 is an apocalyptic number.

106301712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106301712 is an abundant number, since it is smaller than the sum of its proper divisors (193277328).

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

106301712 is a wasteful number, since it uses less digits than its factorization.

106301712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201351 (or 201345 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106301712 is about 10310.2721593564. The cubic root of 106301712 is about 473.7109455580.

The spelling of 106301712 in words is "one hundred six million, three hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 201329 402658 603987 805316 1207974 1610632 2214619 2415948 3221264 4429238 4831896 6643857 8858476 9663792 13287714 17716952 26575428 35433904 53150856 106301712