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10300992100 = 2252719774699
BaseRepresentation
bin10011001011111110…
…01010101001100100
3222120220010121122221
421211333022221210
5132044023221400
64422054002124
7513160662640
oct114577125144
928526117587
1010300992100
114406706913
121bb5946344
13c821749c9
146da113c20
15404515c1a
hex265fcaa64

10300992100 has 72 divisors (see below), whose sum is σ = 25676481600. Its totient is φ = 3513793920.

The previous prime is 10300992061. The next prime is 10300992109. The reversal of 10300992100 is 129900301.

It is a super-2 number, since 2×103009921002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10300992109) 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, 100551 + ... + 175249.

It is an arithmetic number, because the mean of its divisors is an integer number (356617800).

Almost surely, 210300992100 is an apocalyptic number.

10300992100 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 10300992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838240800).

10300992100 is an abundant number, since it is smaller than the sum of its proper divisors (15375489500).

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

10300992100 is a wasteful number, since it uses less digits than its factorization.

10300992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74917 (or 74910 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 10300992100 in words is "ten billion, three hundred million, nine hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 197 350 394 700 788 985 1379 1970 2758 3940 4925 5516 6895 9850 13790 19700 27580 34475 68950 74699 137900 149398 298796 373495 522893 746990 1045786 1493980 1867475 2091572 2614465 3734950 5228930 7469900 10457860 13072325 14715703 26144650 29431406 52289300 58862812 73578515 103009921 147157030 206019842 294314060 367892575 412039684 515049605 735785150 1030099210 1471570300 2060198420 2575248025 5150496050 10300992100