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10123730000 = 24541012373
BaseRepresentation
bin10010110110110101…
…11101110001010000
3222010112120202202222
421123122331301100
5131213133330000
64352322400212
7505606166546
oct113332756120
928115522688
1010123730000
11432564420a
121b66500068
13c5451c0a7
146c076dd96
153e3b9da85
hex25b6bdc50

10123730000 has 50 divisors (see below), whose sum is σ = 24510586914. Its totient is φ = 4049488000.

The previous prime is 10123729991. The next prime is 10123730039. The reversal of 10123730000 is 3732101.

It can be written as a sum of positive squares in 5 ways, for example, as 2890567696 + 7233162304 = 53764^2 + 85048^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×101237300002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 496187 + ... + 516186.

Almost surely, 210123730000 is an apocalyptic number.

10123730000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123730000 is an abundant number, since it is smaller than the sum of its proper divisors (14386856914).

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

10123730000 is an equidigital number, since it uses as much as digits as its factorization.

10123730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012401 (or 1012380 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The spelling of 10123730000 in words is "ten billion, one hundred twenty-three million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1012373 2024746 4049492 5061865 8098984 10123730 16197968 20247460 25309325 40494920 50618650 80989840 101237300 126546625 202474600 253093250 404949200 506186500 632733125 1012373000 1265466250 2024746000 2530932500 5061865000 10123730000