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10102134393 = 3213317139229
BaseRepresentation
bin10010110100010001…
…00101011001111001
3222002000221121011200
421122020211121321
5131142121300033
64350231444413
7505224503601
oct113210453171
928060847150
1010102134393
1143144340aa
121b5b226709
13c4cbca620
146bb94bc01
153e1d35013
hex25a225679

10102134393 has 48 divisors (see below), whose sum is σ = 16450237440. Its totient is φ = 5931273600.

The previous prime is 10102134389. The next prime is 10102134409. The reversal of 10102134393 is 39343120101.

10102134393 is a `hidden beast` number, since 1 + 0 + 10 + 213 + 439 + 3 = 666.

It is not a de Polignac number, because 10102134393 - 22 = 10102134389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102134353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237903 + ... + 277131.

It is an arithmetic number, because the mean of its divisors is an integer number (342713280).

Almost surely, 210102134393 is an apocalyptic number.

10102134393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102134393 is a deficient number, since it is larger than the sum of its proper divisors (6348103047).

10102134393 is a wasteful number, since it uses less digits than its factorization.

10102134393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39350 (or 39347 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10102134393 its reverse (39343120101), we get a palindrome (49445254494).

The spelling of 10102134393 in words is "ten billion, one hundred two million, one hundred thirty-four thousand, three hundred ninety-three".

Divisors: 1 3 9 13 31 39 71 93 117 213 279 403 639 923 1209 2201 2769 3627 6603 8307 19809 28613 39229 85839 117687 257517 353061 509977 1216099 1529931 2785259 3648297 4589793 8355777 10944891 15809287 25067331 36208367 47427861 86343029 108625101 142283583 259029087 325875303 777087261 1122459377 3367378131 10102134393