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10216133442 = 2321740183257
BaseRepresentation
bin10011000001110110…
…11101001101000010
3222100222110100110200
421200323131031002
5131410312232232
64405423110030
7511110462414
oct114073351502
928328410420
1010216133442
114372817299
121b91442316
13c6a702c98
146ccb449b4
153ebd5277c
hex260edd342

10216133442 has 48 divisors (see below), whose sum is σ = 23495740632. Its totient is φ = 3197030400.

The previous prime is 10216133437. The next prime is 10216133453. The reversal of 10216133442 is 24433161201.

It is a happy number.

10216133442 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 613 + 3 + 4 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9248861241 + 967272201 = 96171^2 + 31101^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81078 + ... + 164334.

Almost surely, 210216133442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10216133442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747870316).

10216133442 is an abundant number, since it is smaller than the sum of its proper divisors (13279607190).

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

10216133442 is a wasteful number, since it uses less digits than its factorization.

10216133442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83683 (or 83680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10216133442 its reverse (24433161201), we get a palindrome (34649294643).

The spelling of 10216133442 in words is "ten billion, two hundred sixteen million, one hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 401 802 1203 2406 3609 6817 7218 13634 20451 40902 61353 83257 122706 166514 249771 499542 749313 1415369 1498626 2830738 4246107 8492214 12738321 25476642 33386057 66772114 100158171 200316342 300474513 567562969 600949026 1135125938 1702688907 3405377814 5108066721 10216133442