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201221131122 = 23311338756113
BaseRepresentation
bin1011101101100110110…
…1101100101101110010
3201020101110001120111000
42323121231230231302
511244100102143442
6232234551102430
720352306252024
oct2733155545562
9636343046430
10201221131122
11783790a0080
1232bb8671a16
1315c8a30187b
149a4c352014
15537a785d4c
hex2ed9b6cb72

201221131122 has 32 divisors (see below), whose sum is σ = 487808804160. Its totient is φ = 60976100160.

The previous prime is 201221131117. The next prime is 201221131157. The reversal of 201221131122 is 221131122102.

It is a super-2 number, since 2×2012211311222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201221131095 and 201221131104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169377463 + ... + 169378650.

It is an arithmetic number, because the mean of its divisors is an integer number (15244025130).

Almost surely, 2201221131122 is an apocalyptic number.

201221131122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201221131122 is an abundant number, since it is smaller than the sum of its proper divisors (286587673038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201221131122 is a wasteful number, since it uses less digits than its factorization.

201221131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338756135 (or 338756129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201221131122 its reverse (221131122102), we get a palindrome (422352253224).

The spelling of 201221131122 in words is "two hundred one billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 338756113 677512226 1016268339 2032536678 3048805017 3726317243 6097610034 7452634486 9146415051 11178951729 18292830102 22357903458 33536855187 67073710374 100610565561 201221131122