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221313203122 = 21173831660289
BaseRepresentation
bin1100111000011101001…
…0110111101110110010
3210011020200211120202211
43032013102313232302
512111222134444442
6245400410002334
721663230121304
oct3160722675662
9704220746684
10221313203122
1185949596160
1236a854163aa
1317b3caa557b
14a9d6963974
155b5463c617
hex33874b7bb2

221313203122 has 32 divisors (see below), whose sum is σ = 371533055040. Its totient is φ = 98023403520.

The previous prime is 221313203093. The next prime is 221313203143. The reversal of 221313203122 is 221302313122.

221313203122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213132031222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221313203093 and 221313203102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696847 + ... + 963442.

It is an arithmetic number, because the mean of its divisors is an integer number (11610407970).

Almost surely, 2221313203122 is an apocalyptic number.

221313203122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221313203122 is a deficient number, since it is larger than the sum of its proper divisors (150219851918).

221313203122 is a wasteful number, since it uses less digits than its factorization.

221313203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660458.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221313203122 its reverse (221302313122), we get a palindrome (442615516244).

Subtracting from 221313203122 its reverse (221302313122), we obtain a square (10890000 = 33002).

The spelling of 221313203122 in words is "two hundred twenty-one billion, three hundred thirteen million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 11 22 73 83 146 166 803 913 1606 1826 6059 12118 66649 133298 1660289 3320578 18263179 36526358 121201097 137803987 242402194 275607974 1333212067 1515843857 2666424134 3031687714 10059691051 20119382102 110656601561 221313203122