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102533834 = 213172291013
BaseRepresentation
bin1100001110010…
…00101011001010
321010221020222102
412013020223022
5202222040314
614101353402
72353344314
oct607105312
9233836872
10102533834
1152972207
122a408862
131831cc10
14d8907b4
1590055de
hex61c8aca

102533834 has 32 divisors (see below), whose sum is σ = 176314320. Its totient is φ = 44301312.

The previous prime is 102533819. The next prime is 102533881. The reversal of 102533834 is 438335201.

It can be written as a sum of positive squares in 8 ways, for example, as 35343025 + 67190809 = 5945^2 + 8197^2 .

It is a super-2 number, since 2×1025338342 = 21026374229479112, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102533797 and 102533806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100712 + ... + 101724.

Almost surely, 2102533834 is an apocalyptic number.

102533834 is a deficient number, since it is larger than the sum of its proper divisors (73780486).

102533834 is a wasteful number, since it uses less digits than its factorization.

102533834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 102533834 is about 10125.8991699503. The cubic root of 102533834 is about 468.0465686487.

The spelling of 102533834 in words is "one hundred two million, five hundred thirty-three thousand, eight hundred thirty-four".

Divisors: 1 2 13 17 26 34 221 229 442 458 1013 2026 2977 3893 5954 7786 13169 17221 26338 34442 50609 101218 223873 231977 447746 463954 3015701 3943609 6031402 7887218 51266917 102533834