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10001332304 = 2446111291201
BaseRepresentation
bin10010101000010000…
…00011100001010000
3221211000021022200222
421110020003201100
5130440320113204
64332231132212
7502561631135
oct112410034120
927730238628
1010001332304
114272544a97
121b31514068
13c35065a12
146ac3cc58c
153d8072abe
hex254203850

10001332304 has 40 divisors (see below), whose sum is σ = 19452999720. Its totient is φ = 4981248000.

The previous prime is 10001332303. The next prime is 10001332331. The reversal of 10001332304 is 40323310001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 967210000 + 9034122304 = 31100^2 + 95048^2 .

It is a super-3 number, since 3×100013323043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001332303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8326904 + ... + 8328104.

It is an arithmetic number, because the mean of its divisors is an integer number (486324993).

Almost surely, 210001332304 is an apocalyptic number.

It is an amenable number.

10001332304 is a deficient number, since it is larger than the sum of its proper divisors (9451667416).

10001332304 is a wasteful number, since it uses less digits than its factorization.

10001332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10001332304 its reverse (40323310001), we get a palindrome (50324642305).

The spelling of 10001332304 in words is "ten billion, one million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 461 922 1129 1201 1844 2258 2402 3688 4516 4804 7376 9032 9608 18064 19216 520469 553661 1040938 1107322 1355929 2081876 2214644 2711858 4163752 4429288 5423716 8327504 8858576 10847432 21694864 625083269 1250166538 2500333076 5000666152 10001332304