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103063272 = 23313330331
BaseRepresentation
bin1100010010010…
…01111011101000
321011221011020020
412021021323220
5202341011042
614121000440
72361011004
oct611117350
9234834206
10103063272
11531a3a64
122a623120
1318476bb0
14d98b704
1590ac3ec
hex6249ee8

103063272 has 32 divisors (see below), whose sum is σ = 277478880. Its totient is φ = 31711680.

The previous prime is 103063271. The next prime is 103063273. The reversal of 103063272 is 272360301.

It is an interprime number because it is at equal distance from previous prime (103063271) and next prime (103063273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103063271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164854 + ... + 165477.

It is an arithmetic number, because the mean of its divisors is an integer number (8671215).

Almost surely, 2103063272 is an apocalyptic number.

103063272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103063272 is an abundant number, since it is smaller than the sum of its proper divisors (174415608).

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

103063272 is a wasteful number, since it uses less digits than its factorization.

103063272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330353 (or 330349 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 103063272 is about 10152.0082742283. The cubic root of 103063272 is about 468.8507791136.

The spelling of 103063272 in words is "one hundred three million, sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 330331 660662 990993 1321324 1981986 2642648 3963972 4294303 7927944 8588606 12882909 17177212 25765818 34354424 51531636 103063272