Search a number
-
+
103251616 = 2513248201
BaseRepresentation
bin1100010011101…
…11111010100000
321012021201120221
412021313322200
5202413022431
614125012424
72362424056
oct611677240
9235251527
10103251616
1153312516
122a6b4114
1318511840
14d9da1d6
1590e8111
hex6277ea0

103251616 has 24 divisors (see below), whose sum is σ = 218914164. Its totient is φ = 47654400.

The previous prime is 103251613. The next prime is 103251619. The reversal of 103251616 is 616152301.

It is an interprime number because it is at equal distance from previous prime (103251613) and next prime (103251619).

It can be written as a sum of positive squares in 2 ways, for example, as 95961616 + 7290000 = 9796^2 + 2700^2 .

It is a super-2 number, since 2×1032516162 = 21321792413222912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103251613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123685 + ... + 124516.

Almost surely, 2103251616 is an apocalyptic number.

103251616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103251616 is an abundant number, since it is smaller than the sum of its proper divisors (115662548).

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

103251616 is a wasteful number, since it uses less digits than its factorization.

103251616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248224 (or 248216 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 103251616 is about 10161.2802343012. The cubic root of 103251616 is about 469.1362073189.

The spelling of 103251616 in words is "one hundred three million, two hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 248201 496402 992804 1985608 3226613 3971216 6453226 7942432 12906452 25812904 51625808 103251616