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100242345 = 3575318013
BaseRepresentation
bin1011111100110…
…01001110101001
320222121211122110
411332121032221
5201130223340
613540312533
72325021510
oct576311651
9228554573
10100242345
1151647615
12296a2749
13179c9bc8
14d455677
158c01680
hex5f993a9

100242345 has 32 divisors (see below), whose sum is σ = 186769152. Its totient is φ = 44957952.

The previous prime is 100242341. The next prime is 100242377. The reversal of 100242345 is 543242001.

It is not a de Polignac number, because 100242345 - 22 = 100242341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100242341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3442 + ... + 14571.

It is an arithmetic number, because the mean of its divisors is an integer number (5836536).

Almost surely, 2100242345 is an apocalyptic number.

100242345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100242345 is a deficient number, since it is larger than the sum of its proper divisors (86526807).

100242345 is a wasteful number, since it uses less digits than its factorization.

100242345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18081.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 100242345 is about 10012.1099174949. The cubic root of 100242345 is about 464.5335361553.

Adding to 100242345 its reverse (543242001), we get a palindrome (643484346).

The spelling of 100242345 in words is "one hundred million, two hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 371 795 1113 1855 5565 18013 54039 90065 126091 270195 378273 630455 954689 1891365 2864067 4773445 6682823 14320335 20048469 33414115 100242345