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110022000211100 = 22524337396843143
BaseRepresentation
bin11001000001000001111110…
…001111010111010010011100
3112102120000000100211022011102
4121001001332033113102130
5103410100024023223400
61025555224212412232
732113553505314645
oct3101017617272234
9472500010738142
10110022000211100
113206908294043a
121040b001317078
134951051198553
141d25143b386cc
15cabdd0d839d5
hex64107e3d749c

110022000211100 has 72 divisors (see below), whose sum is σ = 244365387530880. Its totient is φ = 42973836857280.

The previous prime is 110022000211099. The next prime is 110022000211141. The reversal of 110022000211100 is 1112000220011.

It is a congruent number.

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, 12656129 + ... + 19499271.

Almost surely, 2110022000211100 is an apocalyptic number.

110022000211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022000211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122182693765440).

110022000211100 is an abundant number, since it is smaller than the sum of its proper divisors (134343387319780).

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

110022000211100 is a wasteful number, since it uses less digits than its factorization.

110022000211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846939 (or 6846932 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110022000211100 its reverse (1112000220011), we get a palindrome (111134000431111).

The spelling of 110022000211100 in words is "one hundred ten trillion, twenty-two billion, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 3739 4300 7478 14956 18695 37390 74780 93475 160777 186950 321554 373900 643108 803885 1607770 3215540 4019425 6843143 8038850 13686286 16077700 27372572 34215715 68431430 136862860 171078575 294255149 342157150 588510298 684314300 1177020596 1471275745 2942551490 5885102980 7356378725 14712757450 25586511677 29425514900 51173023354 102346046708 127932558385 255865116770 511730233540 639662791925 1100220002111 1279325583850 2200440004222 2558651167700 4400880008444 5501100010555 11002200021110 22004400042220 27505500052775 55011000105550 110022000211100