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900891313 = 72671372003
BaseRepresentation
bin110101101100101…
…000001010110001
32022210012000112221
4311230220022301
53321112010223
6225221121041
731216310200
oct6554501261
92283160487
10900891313
11422590a83
12211859181
131148492aa
148790d237
1554155b5d
hex35b282b1

900891313 has 24 divisors (see below), whose sum is σ = 1071915552. Its totient is φ = 754737984.

The previous prime is 900891287. The next prime is 900891331. The reversal of 900891313 is 313198009.

It is not a de Polignac number, because 900891313 - 217 = 900760241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900891373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448770 + ... + 450772.

It is an arithmetic number, because the mean of its divisors is an integer number (44663148).

Almost surely, 2900891313 is an apocalyptic number.

It is an amenable number.

900891313 is a deficient number, since it is larger than the sum of its proper divisors (171024239).

900891313 is a wasteful number, since it uses less digits than its factorization.

900891313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 900891313 is about 30014.8515405291. The cubic root of 900891313 is about 965.8080028700.

The spelling of 900891313 in words is "nine hundred million, eight hundred ninety-one thousand, three hundred thirteen".

Divisors: 1 7 49 67 137 469 959 2003 3283 6713 9179 14021 64253 98147 134201 274411 449771 939407 1920877 6575849 13446139 18385537 128698759 900891313