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10312104200 = 23522913912791
BaseRepresentation
bin10011001101010011…
…00011100100001000
3222121200001011121012
421212221203210020
5132104344313300
64423132103052
7513354303506
oct114651434410
928550034535
1010312104200
114411a06572
121bb9604a88
13c84565808
146db7a7676
154054ad435
hex266a63908

10312104200 has 96 divisors (see below), whose sum is σ = 24982776000. Its totient is φ = 3953644800.

The previous prime is 10312104191. The next prime is 10312104223. The reversal of 10312104200 is 240121301.

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, 799805 + ... + 812595.

It is an arithmetic number, because the mean of its divisors is an integer number (260237250).

Almost surely, 210312104200 is an apocalyptic number.

10312104200 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 10312104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491388000).

10312104200 is an abundant number, since it is smaller than the sum of its proper divisors (14670671800).

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

10312104200 is a wasteful number, since it uses less digits than its factorization.

10312104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12975 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10312104200 its reverse (240121301), we get a palindrome (10552225501).

The spelling of 10312104200 in words is "ten billion, three hundred twelve million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 139 145 200 232 278 290 556 580 695 725 1112 1160 1390 1450 2780 2900 3475 4031 5560 5800 6950 8062 12791 13900 16124 20155 25582 27800 32248 40310 51164 63955 80620 100775 102328 127910 161240 201550 255820 319775 370939 403100 511640 639550 741878 806200 1279100 1483756 1777949 1854695 2558200 2967512 3555898 3709390 7111796 7418780 8889745 9273475 14223592 14837560 17779490 18546950 35558980 37093900 44448725 51560521 71117960 74187800 88897450 103121042 177794900 206242084 257802605 355589800 412484168 515605210 1031210420 1289013025 2062420840 2578026050 5156052100 10312104200