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10000302000 = 2435313294421
BaseRepresentation
bin10010101000001000…
…00111111110110000
3221210221022222101120
421110010013332300
5130440034131000
64332153102240
7502550110263
oct112404077660
927727288346
1010000302000
114271a009a7
121b310b7980
13c34a94a80
146ac200cda
153d7e1c6a0
hex254107fb0

10000302000 has 320 divisors, whose sum is σ = 35926450560. Its totient is φ = 2376192000.

The previous prime is 10000301963. The next prime is 10000302019. The reversal of 10000302000 is 20300001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10000302000.

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, 2259790 + ... + 2264210.

It is an arithmetic number, because the mean of its divisors is an integer number (112270158).

Almost surely, 210000302000 is an apocalyptic number.

10000302000 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 10000302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963225280).

10000302000 is an abundant number, since it is smaller than the sum of its proper divisors (25926148560).

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

10000302000 is a wasteful number, since it uses less digits than its factorization.

10000302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 10000302000 its reverse (20300001), we get a palindrome (10020602001).

The spelling of 10000302000 in words is "ten billion, three hundred two thousand".