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100330012242 = 23217327875857
BaseRepresentation
bin101110101110000100…
…0100111111001010010
3100120222011121200221100
41131130020213321102
53120433440342432
6114031352205230
710151162014215
oct1353410477122
9316864550840
10100330012242
1139605749199
1217540399816
1395cbcb7c65
144bdac0777c
1529231c607c
hex175c227e52

100330012242 has 24 divisors (see below), whose sum is σ = 230168852316. Its totient is φ = 31476082176.

The previous prime is 100330012241. The next prime is 100330012249. The reversal of 100330012242 is 242210033001.

100330012242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99684801441 + 645210801 = 315729^2 + 25401^2 .

It is a super-2 number, since 2×1003300122422 (a number of 23 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 (100330012241) 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, 163937623 + ... + 163938234.

Almost surely, 2100330012242 is an apocalyptic number.

100330012242 is an abundant number, since it is smaller than the sum of its proper divisors (129838840074).

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

100330012242 is a wasteful number, since it uses less digits than its factorization.

100330012242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327875882 (or 327875879 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100330012242 its reverse (242210033001), we get a palindrome (342540045243).

The spelling of 100330012242 in words is "one hundred billion, three hundred thirty million, twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 327875857 655751714 983627571 1967255142 2950882713 5573889569 5901765426 11147779138 16721668707 33443337414 50165006121 100330012242