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10032211242 = 2321929333951
BaseRepresentation
bin10010101011111011…
…10110010100101010
3221220011101010122100
421111331312110222
5131021221224432
64335253034230
7503415250164
oct112575662452
927804333570
1010032211242
114288a15879
121b3b925976
13c3b587a91
146b2549934
153dab2207c
hex255f7652a

10032211242 has 24 divisors (see below), whose sum is σ = 22880482560. Its totient is φ = 3168066600.

The previous prime is 10032211187. The next prime is 10032211243. The reversal of 10032211242 is 24211223001.

It is a happy number.

10032211242 is a `hidden beast` number, since 100 + 322 + 1 + 1 + 242 = 666.

It is a super-2 number, since 2×100322112422 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10032211243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14666634 + ... + 14667317.

It is an arithmetic number, because the mean of its divisors is an integer number (953353440).

Almost surely, 210032211242 is an apocalyptic number.

10032211242 is an abundant number, since it is smaller than the sum of its proper divisors (12848271318).

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

10032211242 is a wasteful number, since it uses less digits than its factorization.

10032211242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29333978 (or 29333975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10032211242 its reverse (24211223001), we get a palindrome (34243434243).

The spelling of 10032211242 in words is "ten billion, thirty-two million, two hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 29333951 58667902 88001853 176003706 264005559 528011118 557345069 1114690138 1672035207 3344070414 5016105621 10032211242