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115729236100 = 2252340192
BaseRepresentation
bin110101111001000000…
…0000000000010000100
3102001201100222022210201
41223302000000002010
53344003141023400
6125055411100244
711234610163462
oct1536200000204
9361640868721
10115729236100
1145098155a85
121a5195a1684
13abb446323a
14585c06d832
15302509906a
hex1af2000084

115729236100 has 27 divisors (see below), whose sum is σ = 251139824677. Its totient is φ = 46290333680.

The previous prime is 115729236061. The next prime is 115729236101. The reversal of 115729236100 is 1632927511.

The square root of 115729236100 is 340190.

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

It can be written as a sum of positive squares in only one way, i.e., 41662524996 + 74066711104 = 204114^2 + 272152^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115729236100.

It is not an unprimeable number, because it can be changed into a prime (115729236101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3384891 + ... + 3418909.

Almost surely, 2115729236100 is an apocalyptic number.

115729236100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115729236100 is the 340190-th square number.

It is an amenable number.

115729236100 is an abundant number, since it is smaller than the sum of its proper divisors (135410588577).

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

115729236100 is an frugal number, since it uses more digits than its factorization.

115729236100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68052 (or 34026 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 115729236100 in words is "one hundred fifteen billion, seven hundred twenty-nine million, two hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 34019 68038 136076 170095 340190 680380 850475 1700950 3401900 1157292361 2314584722 4629169444 5786461805 11572923610 23145847220 28932309025 57864618050 115729236100