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22132102113 = 32117317411759
BaseRepresentation
bin10100100111001011…
…010001001111100001
32010010102110021111200
4110213023101033201
5330311304231423
614100051431413
71412311523022
oct244713211741
963112407450
1022132102113
119427aa3990
124357bb5569
132119325514
1410dd52ac49
15898024d43
hex5272d13e1

22132102113 has 48 divisors (see below), whose sum is σ = 35392980480. Its totient is φ = 13214534400.

The previous prime is 22132102079. The next prime is 22132102117. The reversal of 22132102113 is 31120123122.

It is not a de Polignac number, because 22132102113 - 212 = 22132098017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22132102117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12581328 + ... + 12583086.

It is an arithmetic number, because the mean of its divisors is an integer number (737353760).

Almost surely, 222132102113 is an apocalyptic number.

It is an amenable number.

22132102113 is a deficient number, since it is larger than the sum of its proper divisors (13260878367).

22132102113 is a wasteful number, since it uses less digits than its factorization.

22132102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22132102113 its reverse (31120123122), we get a palindrome (53252225235).

It can be divided in two parts, 2213 and 2102113, that added together give a triangular number (2104326 = T2051).

The spelling of 22132102113 in words is "twenty-two billion, one hundred thirty-two million, one hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 73 99 219 657 803 1741 1759 2409 5223 5277 7227 15669 15831 19151 19349 57453 58047 127093 128407 172359 174141 381279 385221 1143837 1155663 1398023 1412477 3062419 4194069 4237431 9187257 12582207 12712293 27561771 33686609 101059827 223556587 303179481 670669761 2012009283 2459122457 7377367371 22132102113