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22132143110022 = 23111274196301759
BaseRepresentation
bin1010000100001000010101…
…00001110011011110000110
32220100210221002212212111220
411002010022201303132012
510400103112114010042
6115023211032341210
74442665065311331
oct502041241633606
986323832785456
1022132143110022
117063209890260
122595435b44806
13c4708a722a6a
145672b6a85618
15285a93e078ec
hex14210a873786

22132143110022 has 64 divisors (see below), whose sum is σ = 48784696934400. Its totient is φ = 6638019806880.

The previous prime is 22132143109991. The next prime is 22132143110029. The reversal of 22132143110022 is 22001134123122.

It is a junction number, because it is equal to n+sod(n) for n = 22132143109974 and 22132143110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132143110029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361179 + ... + 6662937.

It is an arithmetic number, because the mean of its divisors is an integer number (762260889600).

Almost surely, 222132143110022 is an apocalyptic number.

22132143110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132143110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392348467200).

22132143110022 is an abundant number, since it is smaller than the sum of its proper divisors (26652553824378).

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

22132143110022 is a wasteful number, since it uses less digits than its factorization.

22132143110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302321.

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

Adding to 22132143110022 its reverse (22001134123122), we get a palindrome (44133277233144).

The spelling of 22132143110022 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred forty-three million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 419 762 838 1257 1397 2514 2794 4191 4609 8382 9218 13827 27654 53213 106426 159639 319278 585343 1170686 1756029 3512058 6301759 12603518 18905277 37810554 69319349 138638698 207958047 415916094 800323393 1600646786 2400970179 2640437021 4801940358 5280874042 7921311063 8803557323 15842622126 17607114646 26410671969 29044807231 52821343938 58089614462 87134421693 174268843386 335335501667 670671003334 1006006505001 2012013010002 3688690518337 7377381036674 11066071555011 22132143110022