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103225256100 = 223252114694729
BaseRepresentation
bin110000000100010110…
…1000110100010100100
3100212102221112022212100
41200020231012202210
53142401131143400
6115230535252100
710313006125341
oct1401055064244
9325387468770
10103225256100
113a860a6980a
1218009b1a030
139970a81bc5
144dd35417c8
152a42476100
hex1808b468a4

103225256100 has 54 divisors (see below), whose sum is σ = 323553833330. Its totient is φ = 27526734720.

The previous prime is 103225256089. The next prime is 103225256107. The reversal of 103225256100 is 1652522301.

It is a happy number.

103225256100 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 25 + 25 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6150637476 + 97074618624 = 78426^2 + 311568^2 .

It is not an unprimeable number, because it can be changed into a prime (103225256107) 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 17 ways as a sum of consecutive naturals, for example, 57346465 + ... + 57348264.

Almost surely, 2103225256100 is an apocalyptic number.

103225256100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103225256100 is an abundant number, since it is smaller than the sum of its proper divisors (220328577230).

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

103225256100 is a wasteful number, since it uses less digits than its factorization.

103225256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114694749 (or 114694739 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 103225256100 its reverse (1652522301), we get a palindrome (104877778401).

The spelling of 103225256100 in words is "one hundred three billion, two hundred twenty-five million, two hundred fifty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 114694729 229389458 344084187 458778916 573473645 688168374 1032252561 1146947290 1376336748 1720420935 2064505122 2293894580 2867368225 3440841870 4129010244 5161262805 5734736450 6881683740 8602104675 10322525610 11469472900 17204209350 20645051220 25806314025 34408418700 51612628050 103225256100