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21122201011122 = 23271931131114423
BaseRepresentation
bin1001100110101111001010…
…10010011100001110110010
32202210021002111122111021200
410303113211102130032302
510232031231424323442
6112531223304232030
74310012555153241
oct463274522341662
982707074574250
1021122201011122
1168039698a8302
12245175a46b616
13ba2a79760583
1453046a06c958
1526968491e34c
hex1335e549c3b2

21122201011122 has 48 divisors (see below), whose sum is σ = 45778351627008. Its totient is φ = 7038644408640.

The previous prime is 21122201011117. The next prime is 21122201011139. The reversal of 21122201011122 is 22111010222112.

It is a super-2 number, since 2×211222010111222 (a number of 27 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 = 21122201011095 and 21122201011104.

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 23 ways as a sum of consecutive naturals, for example, 1464473203 + ... + 1464487625.

It is an arithmetic number, because the mean of its divisors is an integer number (953715658896).

Almost surely, 221122201011122 is an apocalyptic number.

21122201011122 is an abundant number, since it is smaller than the sum of its proper divisors (24656150615886).

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

21122201011122 is a wasteful number, since it uses less digits than its factorization.

21122201011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32935 (or 32932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122201011122 its reverse (22111010222112), we get a palindrome (43233211233234).

The spelling of 21122201011122 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 7193 11311 14386 14423 21579 22622 28846 33933 43158 43269 64737 67866 86538 101799 129474 129807 203598 259614 81360023 103744639 162720046 163138553 207489278 244080069 311233917 326277106 488160138 489415659 622467834 732240207 933701751 978831318 1464480414 1468246977 1867403502 2936493954 1173455611729 2346911223458 3520366835187 7040733670374 10561100505561 21122201011122