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101376912 = 24371323209
BaseRepresentation
bin1100000101011…
…10001110010000
321001202110222110
412002232032100
5201423030122
614020505320
72340455340
oct602561620
9231673873
10101376912
1152251a7a
1229b4b240
1318006450
14d66cd20
158d7790c
hex60ae390

101376912 has 80 divisors (see below), whose sum is σ = 322340480. Its totient is φ = 26735616.

The previous prime is 101376911. The next prime is 101376943. The reversal of 101376912 is 219673101.

It is a self number, because there is not a number n which added to its sum of digits gives 101376912.

It is not an unprimeable number, because it can be changed into a prime (101376911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7237 + ... + 15972.

It is an arithmetic number, because the mean of its divisors is an integer number (4029256).

Almost surely, 2101376912 is an apocalyptic number.

101376912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101376912 is an abundant number, since it is smaller than the sum of its proper divisors (220963568).

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

101376912 is a wasteful number, since it uses less digits than its factorization.

101376912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23240 (or 23234 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 101376912 is about 10068.6102318046. The cubic root of 101376912 is about 466.2795329016.

The spelling of 101376912 in words is "one hundred one million, three hundred seventy-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 23209 46418 69627 92836 139254 162463 185672 278508 301717 324926 371344 487389 557016 603434 649852 905151 974778 1114032 1206868 1299704 1810302 1949556 2112019 2413736 2599408 3620604 3899112 4224038 4827472 6336057 7241208 7798224 8448076 12672114 14482416 16896152 25344228 33792304 50688456 101376912