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11021122210122 = 234711031929381
BaseRepresentation
bin1010000001100000111000…
…0100110000100101001010
31110000121102221211010110000
42200120032010300211022
52421032224241210442
635235011133503430
72215151453046003
oct240301604604512
943017387733400
1011021122210122
11356a039193012
12129bb73641b76
1361c397457a3b
142a15d48dc1aa
15141a40be6d4c
hexa060e13094a

11021122210122 has 80 divisors (see below), whose sum is σ = 25067618446464. Its totient is φ = 3618448092000.

The previous prime is 11021122210073. The next prime is 11021122210139. The reversal of 11021122210122 is 22101222112011.

11021122210122 is a `hidden beast` number, since 110 + 211 + 2 + 221 + 0 + 122 = 666.

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 = 11021122210095 and 11021122210104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11393872 + ... + 12323252.

Almost surely, 211021122210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021122210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533809223232).

11021122210122 is an abundant number, since it is smaller than the sum of its proper divisors (14046496236342).

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

11021122210122 is a wasteful number, since it uses less digits than its factorization.

11021122210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930497 (or 930488 counting only the distinct ones).

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

Adding to 11021122210122 its reverse (22101222112011), we get a palindrome (33122344322133).

The spelling of 11021122210122 in words is "eleven trillion, twenty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1031 1278 1917 2062 3093 3834 5751 6186 9279 11502 18558 27837 55674 73201 83511 146402 167022 219603 439206 658809 929381 1317618 1858762 1976427 2788143 3952854 5576286 5929281 8364429 11858562 16728858 25093287 50186574 65986051 75279861 131972102 150559722 197958153 395916306 593874459 958191811 1187748918 1781623377 1916383622 2874575433 3563246754 5344870131 5749150866 8623726299 10689740262 17247452598 25871178897 51742357794 68031618581 77613536691 136063237162 155227073382 204094855743 408189711486 612284567229 1224569134458 1836853701687 3673707403374 5510561105061 11021122210122