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10133432442 = 2327173464879
BaseRepresentation
bin10010110111111111…
…11110100001111010
3222011012211201000200
421123333332201322
5131223124314232
64353310343030
7506054516550
oct113377764172
928135751020
1010133432442
114330070861
121b697baa76
13c56538393
146c1b77bd0
153e496877c
hex25bffe87a

10133432442 has 48 divisors (see below), whose sum is σ = 25237405440. Its totient is φ = 2878524576.

The previous prime is 10133432389. The next prime is 10133432443. The reversal of 10133432442 is 24423433101.

10133432442 is a `hidden beast` number, since 1 + 0 + 1 + 334 + 324 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10133432443) 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 23 ways as a sum of consecutive naturals, for example, 210642 + ... + 254237.

It is an arithmetic number, because the mean of its divisors is an integer number (525779280).

Almost surely, 210133432442 is an apocalyptic number.

10133432442 is an abundant number, since it is smaller than the sum of its proper divisors (15103972998).

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

10133432442 is a wasteful number, since it uses less digits than its factorization.

10133432442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465067 (or 465064 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10133432442 its reverse (24423433101), we get a palindrome (34556865543).

The spelling of 10133432442 in words is "ten billion, one hundred thirty-three million, four hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 2422 3114 3633 7266 10899 21798 464879 929758 1394637 2789274 3254153 4183911 6508306 8367822 9762459 19524918 29287377 58574754 80424067 160848134 241272201 482544402 562968469 723816603 1125936938 1447633206 1688905407 3377810814 5066716221 10133432442