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12961756900 = 22521031258423
BaseRepresentation
bin11000001001001010…
…01011011011100100
31020110022211110210101
430010211023123210
5203021202210100
65542103233444
7636130054501
oct140445133344
936408743711
1012961756900
115551634894
122618a48884
1312b74a1a51
148ad6524a8
1550cdea86a
hex30494b6e4

12961756900 has 36 divisors (see below), whose sum is σ = 28400112832. Its totient is φ = 5134361760.

The previous prime is 12961756897. The next prime is 12961756919. The reversal of 12961756900 is 965716921.

It is a super-2 number, since 2×129617569002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618912 + ... + 639511.

Almost surely, 212961756900 is an apocalyptic number.

12961756900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12961756900 is an abundant number, since it is smaller than the sum of its proper divisors (15438355932).

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

12961756900 is a wasteful number, since it uses less digits than its factorization.

12961756900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258540 (or 1258533 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 12961756900 in words is "twelve billion, nine hundred sixty-one million, seven hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 1258423 2516846 5033692 6292115 12584230 25168460 31460575 62921150 125842300 129617569 259235138 518470276 648087845 1296175690 2592351380 3240439225 6480878450 12961756900