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10061131300 = 22521139723039
BaseRepresentation
bin10010101111011000…
…01010111000100100
3221222011210102111121
421113230022320210
5131101122200200
64342204543324
7504216130213
oct112754127044
927864712447
1010061131300
1142a3278950
121b49551b44
13c4457233c
146b631707a
153dd435e1a
hex257b0ae24

10061131300 has 72 divisors (see below), whose sum is σ = 23878471680. Its totient is φ = 3649219200.

The previous prime is 10061131273. The next prime is 10061131307. The reversal of 10061131300 is 313116001.

It is not an unprimeable number, because it can be changed into a prime (10061131307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425181 + ... + 448219.

It is an arithmetic number, because the mean of its divisors is an integer number (331645440).

Almost surely, 210061131300 is an apocalyptic number.

10061131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939235840).

10061131300 is an abundant number, since it is smaller than the sum of its proper divisors (13817340380).

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

10061131300 is a wasteful number, since it uses less digits than its factorization.

10061131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23461 (or 23454 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10061131300 its reverse (313116001), we get a palindrome (10374247301).

The spelling of 10061131300 in words is "ten billion, sixty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 397 550 794 1100 1588 1985 3970 4367 7940 8734 9925 17468 19850 21835 23039 39700 43670 46078 87340 92156 109175 115195 218350 230390 253429 436700 460780 506858 575975 1013716 1151950 1267145 2303900 2534290 5068580 6335725 9146483 12671450 18292966 25342900 36585932 45732415 91464830 100611313 182929660 201222626 228662075 402445252 457324150 503056565 914648300 1006113130 2012226260 2515282825 5030565650 10061131300