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103025312 = 25132271091
BaseRepresentation
bin1100010010000…
…00101010100000
321011212020011022
412021000222200
5202333302222
614120105012
72360462225
oct611005240
9234766138
10103025312
1153178495
122a605168
1318462830
14d97b94c
1590a1042
hex6240aa0

103025312 has 48 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 47297280.

The previous prime is 103025267. The next prime is 103025323. The reversal of 103025312 is 213520301.

It is a super-2 number, since 2×1030253122 = 21228429825394688, 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, 93887 + ... + 94977.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2103025312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

103025312 is an abundant number, since it is smaller than the sum of its proper divisors (116571520).

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

103025312 is a wasteful number, since it uses less digits than its factorization.

103025312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 103025312 is about 10150.1385212223. The cubic root of 103025312 is about 468.7932100730.

Adding to 103025312 its reverse (213520301), we get a palindrome (316545613).

The spelling of 103025312 in words is "one hundred three million, twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 227 416 454 908 1091 1816 2182 2951 3632 4364 5902 7264 8728 11804 14183 17456 23608 28366 34912 47216 56732 94432 113464 226928 247657 453856 495314 990628 1981256 3219541 3962512 6439082 7925024 12878164 25756328 51512656 103025312