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101914912 = 2511226321
BaseRepresentation
bin1100001001100…
…01100100100000
321002202210222101
412010301210200
5202042234122
614040220144
72345156011
oct604614440
9232683871
10101914912
115258a200
122a16a654
13181642a8
14d76d008
158e32027
hex6131920

101914912 has 36 divisors (see below), whose sum is σ = 220552038. Its totient is φ = 46323200.

The previous prime is 101914907. The next prime is 101914931. The reversal of 101914912 is 219419101.

It can be written as a sum of positive squares in only one way, i.e., 63425296 + 38489616 = 7964^2 + 6204^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9289 + ... + 17032.

Almost surely, 2101914912 is an apocalyptic number.

It is an amenable number.

101914912 is an abundant number, since it is smaller than the sum of its proper divisors (118637126).

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

101914912 is a wasteful number, since it uses less digits than its factorization.

101914912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26353 (or 26334 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 101914912 is about 10095.2915757793. The cubic root of 101914912 is about 467.1029154154.

It can be divided in two parts, 1019 and 14912, that added together give a triangular number (15931 = T178).

The spelling of 101914912 in words is "one hundred one million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 26321 52642 105284 210568 289531 421136 579062 842272 1158124 2316248 3184841 4632496 6369682 9264992 12739364 25478728 50957456 101914912