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220201112131 = 7111323101281337
BaseRepresentation
bin1100110100010100000…
…0100101001001000011
3210001101012020111201121
43031011000211021003
512101432441042011
6245054202013111
721623534366440
oct3150500451103
9701335214647
10220201112131
11854288727a0
1236814aa7197
13179c3580370
14a92cd989c7
155adbbb8e71
hex3345025243

220201112131 has 128 divisors (see below), whose sum is σ = 313600315392. Its totient is φ = 149022720000.

The previous prime is 220201112119. The next prime is 220201112191. The reversal of 220201112131 is 131211102022.

It is not a de Polignac number, because 220201112131 - 27 = 220201112003 is a prime.

It is a super-2 number, since 2×2202011121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220201112191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 653415595 + ... + 653415931.

It is an arithmetic number, because the mean of its divisors is an integer number (2450002464).

Almost surely, 2220201112131 is an apocalyptic number.

220201112131 is a deficient number, since it is larger than the sum of its proper divisors (93399203261).

220201112131 is a wasteful number, since it uses less digits than its factorization.

220201112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 220201112131 its reverse (131211102022), we get a palindrome (351412214153).

The spelling of 220201112131 in words is "two hundred twenty billion, two hundred one million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 11 13 23 77 91 101 143 161 253 281 299 337 707 1001 1111 1313 1771 1967 2093 2323 2359 3091 3289 3653 3707 4381 6463 7751 7777 9191 14443 16261 21637 23023 25553 25571 25949 28381 30199 30667 34037 40183 45241 48191 54257 71093 84019 85261 94697 100763 101101 178871 198667 211393 238259 281281 312191 332189 337337 368953 374407 442481 497651 588133 596827 652763 662879 705341 782851 924209 1041667 1108393 1231061 2178031 2185337 2325323 2582671 2620849 3097367 4058483 4569341 4867291 5479957 6469463 7180393 7291669 7758751 8485919 8611361 8617427 9564397 10177063 13541671 15246217 23958341 28314403 28409381 34071037 50262751 59401433 60279527 66950779 71239441 93345109 94791697 105208367 111947693 124337161 167708387 198200821 219981131 311458433 653415763 736458569 783633851 870360127 1367708771 1539867917 2180209031 2419792441 2859754703 9573961397 16938547087 20018282921 31457301733 220201112131