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22133105010 = 2345241113381
BaseRepresentation
bin10100100111001111…
…000110000101110010
32010010111100020020000
4110213033012011302
5330312033330020
614100125130430
71412323200642
oct244717060562
963114306200
1022133105010
119428619425
1243583b9a16
1321195b6b53
1410dd70c522
15898172090
hex5273c6172

22133105010 has 80 divisors (see below), whose sum is σ = 59760931032. Its totient is φ = 5877619200.

The previous prime is 22133105003. The next prime is 22133105023. The reversal of 22133105010 is 1050133122.

22133105010 is a `hidden beast` number, since 22 + 133 + 10 + 501 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22097714409 + 35390601 = 148653^2 + 5949^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 138520 + ... + 251900.

Almost surely, 222133105010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133105010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880465516).

22133105010 is an abundant number, since it is smaller than the sum of its proper divisors (37627826022).

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

22133105010 is a wasteful number, since it uses less digits than its factorization.

22133105010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113641 (or 113632 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 22133105010 its reverse (1050133122), we get a palindrome (23183238132).

The spelling of 22133105010 in words is "twenty-two billion, one hundred thirty-three million, one hundred five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 241 270 405 482 723 810 1205 1446 2169 2410 3615 4338 6507 7230 10845 13014 19521 21690 32535 39042 65070 97605 113381 195210 226762 340143 566905 680286 1020429 1133810 1700715 2040858 3061287 3401430 5102145 6122574 9183861 10204290 15306435 18367722 27324821 30612870 45919305 54649642 81974463 91838610 136624105 163948926 245923389 273248210 409872315 491846778 737770167 819744630 1229616945 1475540334 2213310501 2459233890 3688850835 4426621002 7377701670 11066552505 22133105010