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101259968 = 261983273
BaseRepresentation
bin1100000100100…
…01101011000000
321001112112120012
412002101223000
5201410304333
614014204052
72336460365
oct602215300
9231475505
10101259968
1152182127
1229ab3628
1317c95154
14d63c46c
158d52e48
hex6091ac0

101259968 has 28 divisors (see below), whose sum is σ = 211515960. Its totient is φ = 47964672.

The previous prime is 101259943. The next prime is 101260013. The reversal of 101259968 is 869952101.

It is a happy number.

It is a super-2 number, since 2×1012599682 = 20507162238722048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40421 + ... + 42852.

Almost surely, 2101259968 is an apocalyptic number.

It is an amenable number.

101259968 is an abundant number, since it is smaller than the sum of its proper divisors (110255992).

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

101259968 is an equidigital number, since it uses as much as digits as its factorization.

101259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83304 (or 83294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 101259968 is about 10062.8012004610. The cubic root of 101259968 is about 466.1001706473.

The spelling of 101259968 in words is "one hundred one million, two hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 83273 166546 333092 666184 1332368 1582187 2664736 3164374 5329472 6328748 12657496 25314992 50629984 101259968