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100352050029 = 32721120686879
BaseRepresentation
bin101110101110101110…
…0101100001101101101
3100121000201002100002200
41131131130230031231
53121010111100104
6114033500412113
710151550231300
oct1353534541555
9317021070080
10100352050029
1139617130540
1217547847039
139603732a7a
144bddb02b37
1529250cab39
hex175d72c36d

100352050029 has 36 divisors (see below), whose sum is σ = 183947736960. Its totient is φ = 52130932560.

The previous prime is 100352049949. The next prime is 100352050031. The reversal of 100352050029 is 920050253001.

100352050029 is a `hidden beast` number, since 100 + 3 + 52 + 0 + 500 + 2 + 9 = 666.

It is not a de Polignac number, because 100352050029 - 28 = 100352049773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100352049984 and 100352050011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100352050129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10338589 + ... + 10348290.

It is an arithmetic number, because the mean of its divisors is an integer number (5109659360).

Almost surely, 2100352050029 is an apocalyptic number.

It is an amenable number.

100352050029 is a deficient number, since it is larger than the sum of its proper divisors (83595686931).

100352050029 is a wasteful number, since it uses less digits than its factorization.

100352050029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20686910 (or 20686900 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 100352050029 in words is "one hundred billion, three hundred fifty-two million, fifty thousand, twenty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 20686879 62060637 144808153 186181911 227555669 434424459 682667007 1013657071 1303273377 1592889683 2048001021 3040971213 4778669049 9122913639 11150227781 14336007147 33450683343 100352050029