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61315061100 = 223521712022561
BaseRepresentation
bin111001000110101010…
…011001010101101100
312212021011002211102220
4321012222121111230
52001033123423400
644100122315340
74300305264036
oct710652312554
9185234084386
1061315061100
1124004831a17
12ba72358b50
135a22039557
142d793b4c56
1518dce1a7a0
hexe46a9956c

61315061100 has 72 divisors (see below), whose sum is σ = 187840508688. Its totient is φ = 15388876800.

The previous prime is 61315061099. The next prime is 61315061141. The reversal of 61315061100 is 116051316.

61315061100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6006181 + ... + 6016380.

It is an arithmetic number, because the mean of its divisors is an integer number (2608895954).

Almost surely, 261315061100 is an apocalyptic number.

61315061100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61315061100 is an abundant number, since it is smaller than the sum of its proper divisors (126525447588).

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

61315061100 is a wasteful number, since it uses less digits than its factorization.

61315061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022595 (or 12022588 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 61315061100 in words is "sixty-one billion, three hundred fifteen million, sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 12022561 24045122 36067683 48090244 60112805 72135366 120225610 144270732 180338415 204383537 240451220 300564025 360676830 408767074 601128050 613150611 721353660 817534148 901692075 1021917685 1202256100 1226301222 1803384150 2043835370 2452602444 3065753055 3606768300 4087670740 5109588425 6131506110 10219176850 12263012220 15328765275 20438353700 30657530550 61315061100