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10003210320 = 243541680043
BaseRepresentation
bin10010101000011110…
…01110000001010000
3221211010210201212010
421110033032001100
5130441310212240
64332335302520
7502613612325
oct112417160120
927733721763
1010003210320
114273607a74
121b3207aa40
13c3557277c
146ac75ab4c
153d82e4280
hex2543ce050

10003210320 has 40 divisors (see below), whose sum is σ = 31009952736. Its totient is φ = 2667522688.

The previous prime is 10003210319. The next prime is 10003210337. The reversal of 10003210320 is 2301230001.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10003210296 and 10003210305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20839782 + ... + 20840261.

Almost surely, 210003210320 is an apocalyptic number.

10003210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003210320 is an abundant number, since it is smaller than the sum of its proper divisors (21006742416).

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

10003210320 is a wasteful number, since it uses less digits than its factorization.

10003210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41680059 (or 41680053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10003210320 its reverse (2301230001), we get a palindrome (12304440321).

The spelling of 10003210320 in words is "ten billion, three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41680043 83360086 125040129 166720172 208400215 250080258 333440344 416800430 500160516 625200645 666880688 833600860 1000321032 1250401290 1667201720 2000642064 2500802580 3334403440 5001605160 10003210320