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13125305250 = 232538596791
BaseRepresentation
bin11000011100101010…
…00100001110100010
31020212201120120221200
430032111010032202
5203340034232000
610010224502030
7643154153031
oct141625041642
936781516850
1013125305250
115625990112
12266377a916
131312335615
148c7266718
1551c454500
hex30e5443a2

13125305250 has 96 divisors (see below), whose sum is σ = 35537374080. Its totient is φ = 3495492000.

The previous prime is 13125305239. The next prime is 13125305351. The reversal of 13125305250 is 5250352131.

It is a happy number.

13125305250 is a `hidden beast` number, since 1 + 31 + 2 + 530 + 52 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1929355 + ... + 1936145.

It is an arithmetic number, because the mean of its divisors is an integer number (370180980).

Almost surely, 213125305250 is an apocalyptic number.

13125305250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125305250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768687040).

13125305250 is an abundant number, since it is smaller than the sum of its proper divisors (22412068830).

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

13125305250 is a wasteful number, since it uses less digits than its factorization.

13125305250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 13125305250 its reverse (5250352131), we get a palindrome (18375657381).

The spelling of 13125305250 in words is "thirteen billion, one hundred twenty-five million, three hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 859 1125 1718 2250 2577 4295 5154 6791 7731 8590 12885 13582 15462 20373 21475 25770 33955 38655 40746 42950 61119 64425 67910 77310 101865 107375 122238 128850 169775 193275 203730 214750 305595 322125 339550 386550 509325 611190 644250 848875 966375 1018650 1527975 1697750 1932750 2546625 3055950 5093250 5833469 7639875 11666938 15279750 17500407 29167345 35000814 52501221 58334690 87502035 105002442 145836725 175004070 262506105 291673450 437510175 525012210 729183625 875020350 1312530525 1458367250 2187550875 2625061050 4375101750 6562652625 13125305250