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120101300319 = 37111339993773
BaseRepresentation
bin110111111011010011…
…0000110100001011111
3102111000001210012102010
41233312212012201133
53431431413102234
6131101311402303
711451136131420
oct1576646064137
9374001705363
10120101300319
1146a310645a0
121b339823393
13b4301949a0
145b54995647
1531cdd156e9
hex1bf698685f

120101300319 has 32 divisors (see below), whose sum is σ = 215006529024. Its totient is φ = 57591031680.

The previous prime is 120101300279. The next prime is 120101300353. The reversal of 120101300319 is 913003101021.

It is not a de Polignac number, because 120101300319 - 27 = 120101300191 is a prime.

It is a super-2 number, since 2×1201013003192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120101300295 and 120101300304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101300359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19993884 + ... + 19999889.

It is an arithmetic number, because the mean of its divisors is an integer number (6718954032).

Almost surely, 2120101300319 is an apocalyptic number.

120101300319 is a deficient number, since it is larger than the sum of its proper divisors (94905228705).

120101300319 is a wasteful number, since it uses less digits than its factorization.

120101300319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39993807.

The product of its (nonzero) digits is 162, while the sum is 21.

The spelling of 120101300319 in words is "one hundred twenty billion, one hundred one million, three hundred thousand, three hundred nineteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 39993773 119981319 279956411 439931503 519919049 839869233 1319794509 1559757147 3079520521 3639433343 5719109539 9238561563 10918300029 17157328617 40033766773 120101300319