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12150652900 = 22527321512
BaseRepresentation
bin10110101000011110…
…00011111111100100
31011100210121010021111
423110033003333210
5144341031343100
65325410354404
7610050563011
oct132417037744
934323533244
1012150652900
1151757aa401
12243128ba04
1311b8431959
14833a36708
154b1acd6ba
hex2d43c3fe4

12150652900 has 81 divisors (see below), whose sum is σ = 26911267803. Its totient is φ = 4761936000.

The previous prime is 12150652897. The next prime is 12150652933. The reversal of 12150652900 is 925605121.

The square root of 12150652900 is 110230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66487716 + 12084165184 = 8154^2 + 109928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80467825 + ... + 80467975.

Almost surely, 212150652900 is an apocalyptic number.

12150652900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12150652900 is the 110230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12150652900

12150652900 is an abundant number, since it is smaller than the sum of its proper divisors (14760614903).

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

12150652900 is an equidigital number, since it uses as much as digits as its factorization.

12150652900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 12150652900 in words is "twelve billion, one hundred fifty million, six hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 151 292 302 365 604 730 755 1460 1510 1825 3020 3650 3775 5329 7300 7550 10658 11023 15100 21316 22046 22801 26645 44092 45602 53290 55115 91204 106580 110230 114005 133225 220460 228010 266450 275575 456020 532900 551150 570025 804679 1102300 1140050 1609358 1664473 2280100 3218716 3328946 4023395 6657892 8046790 8322365 16093580 16644730 20116975 33289460 40233950 41611825 80467900 83223650 121506529 166447300 243013058 486026116 607532645 1215065290 2430130580 3037663225 6075326450 12150652900