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100152014024 = 2312519001753
BaseRepresentation
bin101110101000110000…
…1100111010011001000
3100120111202200110021202
41131101201213103020
53120102403422044
6114001553123332
710143601034036
oct1352141472310
9316452613252
10100152014024
1139524223527
12174b0859548
1395a116527a
144bc1311556
152912765c4e
hex17518674c8

100152014024 has 8 divisors (see below), whose sum is σ = 187785026310. Its totient is φ = 50076007008.

The previous prime is 100152014003. The next prime is 100152014029. The reversal of 100152014024 is 420410251001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90426504100 + 9725509924 = 300710^2 + 98618^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 100152013987 and 100152014005.

It is not an unprimeable number, because it can be changed into a prime (100152014029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6259500869 + ... + 6259500884.

Almost surely, 2100152014024 is an apocalyptic number.

It is an amenable number.

100152014024 is a deficient number, since it is larger than the sum of its proper divisors (87633012286).

100152014024 is a wasteful number, since it uses less digits than its factorization.

100152014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12519001759 (or 12519001755 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 100152014024 its reverse (420410251001), we get a palindrome (520562265025).

The spelling of 100152014024 in words is "one hundred billion, one hundred fifty-two million, fourteen thousand, twenty-four".

Divisors: 1 2 4 8 12519001753 25038003506 50076007012 100152014024