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10031102300 = 22526113112553
BaseRepresentation
bin10010101011110011…
…00111100101011100
3221220002021210110102
421111321213211130
5131020430233200
64335213200232
7503402651132
oct112571474534
927802253412
1010031102300
11428832869a
121b3b490078
13c3b28a0bb
146b233b752
153da9a36d5
hex255e6795c

10031102300 has 72 divisors (see below), whose sum is σ = 22295000112. Its totient is φ = 3916224000.

The previous prime is 10031102287. The next prime is 10031102311. The reversal of 10031102300 is 320113001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792824 + ... + 805376.

Almost surely, 210031102300 is an apocalyptic number.

10031102300 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 10031102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147500056).

10031102300 is an abundant number, since it is smaller than the sum of its proper divisors (12263897812).

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

10031102300 is a wasteful number, since it uses less digits than its factorization.

10031102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10031102300 its reverse (320113001), we get a palindrome (10351215301).

The spelling of 10031102300 in words is "ten billion, thirty-one million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 131 244 262 305 524 610 655 1220 1310 1525 2620 3050 3275 6100 6550 7991 12553 13100 15982 25106 31964 39955 50212 62765 79910 125530 159820 199775 251060 313825 399550 627650 765733 799100 1255300 1531466 1644443 3062932 3288886 3828665 6577772 7657330 8222215 15314660 16444430 19143325 32888860 38286650 41111075 76573300 82222150 100311023 164444300 200622046 401244092 501555115 1003110230 2006220460 2507775575 5015551150 10031102300