Search a number
-
+
120201103113 = 37213434731123
BaseRepresentation
bin110111111110010001…
…0110100011100001001
3102111021000120201002220
41233330202310130021
53432132440244423
6131115234444253
711453460342600
oct1577442643411
9374230521086
10120201103113
1146a82430943
121b367133689
13b447a697b0
145b63d34a37
1531d797b9e3
hex1bfc8b4709

120201103113 has 96 divisors (see below), whose sum is σ = 209822570496. Its totient is φ = 60608725632.

The previous prime is 120201103111. The next prime is 120201103117. The reversal of 120201103113 is 311301102021.

It is a happy number.

It is not a de Polignac number, because 120201103113 - 21 = 120201103111 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120201103092 and 120201103101.

It is not an unprimeable number, because it can be changed into a prime (120201103111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3846570 + ... + 3877692.

It is an arithmetic number, because the mean of its divisors is an integer number (2185651776).

Almost surely, 2120201103113 is an apocalyptic number.

120201103113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120201103113 is a deficient number, since it is larger than the sum of its proper divisors (89621467383).

120201103113 is a wasteful number, since it uses less digits than its factorization.

120201103113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31243 (or 31236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120201103113 its reverse (311301102021), we get a palindrome (431502205134).

The spelling of 120201103113 in words is "one hundred twenty billion, two hundred one million, one hundred three thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 43 47 49 91 129 141 147 273 301 329 559 611 637 903 987 1677 1833 1911 2021 2107 2303 3913 4277 6063 6321 6909 11739 12831 14147 26273 27391 29939 31123 42441 78819 82173 89817 93369 99029 183911 217861 297087 404599 551733 653583 1213797 1287377 1338289 1462781 1525027 2832193 3862131 4014867 4388343 4575081 8496579 9368023 10239467 17397757 19016153 19825351 28104069 30718401 52193271 57048459 59476053 62899583 65576161 71676269 121784299 133113071 188698749 196728483 215028807 365352897 399339213 440297081 817694579 852490093 931791497 1320891243 2453083737 2557470279 2795374491 3082079567 5723862053 9246238701 17171586159 40067034371 120201103113