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10000011000 = 2335373115361
BaseRepresentation
bin10010101000000110…
…00000111011111000
3221210220210012012210
421110003000323320
5130440000323000
64332142535120
7502544456010
oct112403007370
927726705183
1010000011000
114271822301
121b30b974a0
13c349c2495
146ac166c40
153d7db1350
hex2540c0ef8

10000011000 has 256 divisors, whose sum is σ = 36809809920. Its totient is φ = 2211840000.

The previous prime is 10000010971. The next prime is 10000011017. The reversal of 10000011000 is 11000001.

Adding to 10000011000 its reverse (11000001), we get a palindrome (10011011001).

It can be divided in two parts, 1000001 and 1000, that added together give a palindrome (1001001).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10000011000 is a modest number, since divided by 11000 gives 10000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643320 + ... + 658680.

It is an arithmetic number, because the mean of its divisors is an integer number (143788320).

Almost surely, 210000011000 is an apocalyptic number.

10000011000 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 10000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404904960).

10000011000 is an abundant number, since it is smaller than the sum of its proper divisors (26809798920).

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

10000011000 is a wasteful number, since it uses less digits than its factorization.

10000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15423 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The spelling of 10000011000 in words is "ten billion, eleven thousand".