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202221132301122 = 231121991399706053
BaseRepresentation
bin101101111110101101000110…
…110000011100001101000010
3222112000011002101220201102020
4231332231012300130031002
5203001142334332113442
61554031034455102310
760410665113341124
oct5576550660341502
9875004071821366
10202221132301122
1159485556320a00
121a81b988071996
1388ab4a8c9a1bc
1437d17aadc7214
15185a3808739ec
hexb7eb46c1c342

202221132301122 has 48 divisors (see below), whose sum is σ = 446786172436800. Its totient is φ = 60971195625120.

The previous prime is 202221132301109. The next prime is 202221132301159. The reversal of 202221132301122 is 221103231122202.

202221132301122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202221132301092 and 202221132301101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699708553 + ... + 699997500.

It is an arithmetic number, because the mean of its divisors is an integer number (9308045259100).

Almost surely, 2202221132301122 is an apocalyptic number.

202221132301122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202221132301122 is an abundant number, since it is smaller than the sum of its proper divisors (244565040135678).

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

202221132301122 is a wasteful number, since it uses less digits than its factorization.

202221132301122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399706279 (or 1399706268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 202221132301122 its reverse (221103231122202), we get a palindrome (423324363423324).

The spelling of 202221132301122 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred thirty-two million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 199 242 363 398 597 726 1194 2189 4378 6567 13134 24079 48158 72237 144474 1399706053 2799412106 4199118159 8398236318 15396766583 30793533166 46190299749 92380599498 169364432413 278541504547 338728864826 508093297239 557083009094 835624513641 1016186594478 1671249027282 3063956550017 6127913100034 9191869650051 18383739300102 33703522050187 67407044100374 101110566150561 202221132301122