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10003213520 = 245769162601
BaseRepresentation
bin10010101000011110…
…01110110011010000
3221211010210220020122
421110033032303100
5130441310313040
64332335325412
7502613624546
oct112417166320
927733726218
1010003213520
11427360a413
121b32080868
13c35574071
146ac75bd96
153d82e51b5
hex2543cecd0

10003213520 has 40 divisors (see below), whose sum is σ = 23287858440. Its totient is φ = 3996057600.

The previous prime is 10003213511. The next prime is 10003213523. The reversal of 10003213520 is 2531230001.

It can be written as a sum of positive squares in 4 ways, for example, as 2581046416 + 7422167104 = 50804^2 + 86152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003213523) 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, 19781 + ... + 142820.

It is an arithmetic number, because the mean of its divisors is an integer number (582196461).

Almost surely, 210003213520 is an apocalyptic number.

10003213520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003213520 is an abundant number, since it is smaller than the sum of its proper divisors (13284644920).

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

10003213520 is a wasteful number, since it uses less digits than its factorization.

10003213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163383 (or 163377 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 10003213520 its reverse (2531230001), we get a palindrome (12534443521).

The spelling of 10003213520 in words is "ten billion, three million, two hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 769 1538 3076 3845 6152 7690 12304 15380 30760 61520 162601 325202 650404 813005 1300808 1626010 2601616 3252020 6504040 13008080 125040169 250080338 500160676 625200845 1000321352 1250401690 2000642704 2500803380 5001606760 10003213520