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100313220319 = 1327313759351
BaseRepresentation
bin101110101101100100…
…0100100010011011111
3100120221000000120202021
41131123020210103133
53120420141022234
6114025552241011
710150566206164
oct1353310442337
9316830016667
10100313220319
11395a721a174
1217536840167
1395c8688b00
144bd88b606b
1529219aa9b4
hex175b2244df

100313220319 has 24 divisors (see below), whose sum is σ = 110916780192. Its totient is φ = 90660211200.

The previous prime is 100313220317. The next prime is 100313220331. The reversal of 100313220319 is 913022313001.

It is not a de Polignac number, because 100313220319 - 21 = 100313220317 is a prime.

It is a super-2 number, since 2×1003132203192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100313220293 and 100313220302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313220317) 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, 1660494 + ... + 1719844.

It is an arithmetic number, because the mean of its divisors is an integer number (4621532508).

Almost surely, 2100313220319 is an apocalyptic number.

100313220319 is a deficient number, since it is larger than the sum of its proper divisors (10603559873).

100313220319 is a wasteful number, since it uses less digits than its factorization.

100313220319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59587 (or 59574 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 100313220319 in words is "one hundred billion, three hundred thirteen million, two hundred twenty thousand, three hundred nineteen".

Divisors: 1 13 73 137 169 949 1781 10001 12337 23153 59351 130013 771563 1690169 4332623 8131087 10030319 56324099 105704131 593569351 732213287 1374153703 7716401563 100313220319