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22134102242010 = 2351128147748441
BaseRepresentation
bin1010000100001011111110…
…10011010011001011011010
32220100222222122100002100220
411002011333103103023122
510400121120133221020
6115024133255340510
74443064454541363
oct502057723231332
986328878302326
1022134102242010
117064024754100
1225958a2081736
13c4731058b465
14567420d42b6a
15285b5ade6240
hex14217f4d32da

22134102242010 has 96 divisors (see below), whose sum is σ = 58397372663616. Its totient is φ = 5365177171200.

The previous prime is 22134102241973. The next prime is 22134102242017. The reversal of 22134102242010 is 1024220143122.

It is not an unprimeable number, because it can be changed into a prime (22134102242017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29199390 + ... + 29947830.

It is an arithmetic number, because the mean of its divisors is an integer number (608305965246).

Almost surely, 222134102242010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134102242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198686331808).

22134102242010 is an abundant number, since it is smaller than the sum of its proper divisors (36263270421606).

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

22134102242010 is a wasteful number, since it uses less digits than its factorization.

22134102242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756620 (or 756609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22134102242010 its reverse (1024220143122), we get a palindrome (23158322385132).

The spelling of 22134102242010 in words is "twenty-two trillion, one hundred thirty-four billion, one hundred two million, two hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 8147 16294 24441 40735 48882 81470 89617 122205 179234 244410 268851 448085 537702 748441 896170 985787 1344255 1496882 1971574 2245323 2688510 2957361 3742205 4490646 4928935 5914722 7484410 8232851 9857870 11226615 14786805 16465702 22453230 24698553 29573610 41164255 49397106 82328510 90561361 123492765 181122722 246985530 271684083 452806805 543368166 905613610 1358420415 2716840830 6097548827 12195097654 18292646481 30487744135 36585292962 60975488270 67073037097 91463232405 134146074194 182926464810 201219111291 335365185485 402438222582 670730370970 737803408067 1006095556455 1475606816134 2012191112910 2213410224201 3689017040335 4426820448402 7378034080670 11067051121005 22134102242010