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100244330131 = 11291462921481
BaseRepresentation
bin101110101011100000…
…1110001011010010011
3100120202012101121011211
41131113001301122103
53120300022031011
6114015051520551
710146101514151
oct1352701613223
9316665347154
10100244330131
1139571346a30
1217517759157
1395b731849a
144bcd6a23d1
15291a8edb21
hex1757071693

100244330131 has 16 divisors (see below), whose sum is σ = 113141397600. Its totient is φ = 87978643200.

The previous prime is 100244330119. The next prime is 100244330167. The reversal of 100244330131 is 131033442001.

It is a cyclic number.

It is not a de Polignac number, because 100244330131 - 25 = 100244330099 is a prime.

It is a super-2 number, since 2×1002443301312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100244330171) 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 15 ways as a sum of consecutive naturals, for example, 4655911 + ... + 4677391.

It is an arithmetic number, because the mean of its divisors is an integer number (7071337350).

Almost surely, 2100244330131 is an apocalyptic number.

100244330131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100244330131 is a deficient number, since it is larger than the sum of its proper divisors (12897067469).

100244330131 is a wasteful number, since it uses less digits than its factorization.

100244330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36150.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 100244330131 its reverse (131033442001), we get a palindrome (231277772132).

The spelling of 100244330131 in words is "one hundred billion, two hundred forty-four million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 11 29 319 14629 21481 160919 236291 424241 622949 4666651 6852439 314245549 3456701039 9113120921 100244330131