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10402310000 = 245419531033
BaseRepresentation
bin10011011000000011…
…01010011101110000
3222211221210002200202
421230001222131300
5132300442410000
64440113334332
7515531114255
oct115401523560
928757702622
1010402310000
114458918515
1220238673a8
13c9a15a324
1470976942c
1540d37add5
hex26c06a770

10402310000 has 200 divisors, whose sum is σ = 27036907920. Its totient is φ = 3863808000.

The previous prime is 10402309999. The next prime is 10402310011. The reversal of 10402310000 is 1320401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×104023100002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10069484 + ... + 10070516.

Almost surely, 210402310000 is an apocalyptic number.

10402310000 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 10402310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518453960).

10402310000 is an abundant number, since it is smaller than the sum of its proper divisors (16634597920).

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

10402310000 is a wasteful number, since it uses less digits than its factorization.

10402310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10402310000 its reverse (1320401), we get a palindrome (10403630401).

The spelling of 10402310000 in words is "ten billion, four hundred two million, three hundred ten thousand".