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100133443124 = 221113175058467
BaseRepresentation
bin101110101000001101…
…0110001011000110100
3100120110110201221210122
41131100122301120310
53120033130134444
6114000051111112
710143254136341
oct1352032613064
9316413657718
10100133443124
1139514799980
12174a65a2498
13959a362480
144bbca797c8
152910ce84ee
hex17506b1634

100133443124 has 24 divisors (see below), whose sum is σ = 205868758368. Its totient is φ = 42014031840.

The previous prime is 100133443099. The next prime is 100133443133. The reversal of 100133443124 is 421344331001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 100133443093 and 100133443102.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 87528662 + ... + 87529805.

It is an arithmetic number, because the mean of its divisors is an integer number (8577864932).

Almost surely, 2100133443124 is an apocalyptic number.

It is an amenable number.

100133443124 is an abundant number, since it is smaller than the sum of its proper divisors (105735315244).

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

100133443124 is a wasteful number, since it uses less digits than its factorization.

100133443124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175058495 (or 175058493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 100133443124 its reverse (421344331001), we get a palindrome (521477774125).

The spelling of 100133443124 in words is "one hundred billion, one hundred thirty-three million, four hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 175058467 350116934 700233868 1925643137 2275760071 3851286274 4551520142 7702572548 9103040284 25033360781 50066721562 100133443124