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10020345534 = 2323073595051
BaseRepresentation
bin10010101010100001…
…00101011010111110
3221212100001021221200
421111100211122332
5131010202024114
64334150440330
7503212350243
oct112520453276
927770037850
1010020345534
114282250a01
121b379630a6
13c38c91c54
146b0b3b5ca
153d9a7b409
hex2554256be

10020345534 has 48 divisors (see below), whose sum is σ = 21846464640. Its totient is φ = 3319304400.

The previous prime is 10020345521. The next prime is 10020345539. The reversal of 10020345534 is 43554302001.

10020345534 is a `hidden beast` number, since 1 + 0 + 0 + 203 + 455 + 3 + 4 = 666.

10020345534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100203455343 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020345498 and 10020345507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020345539) 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 in 23 ways as a sum of consecutive naturals, for example, 1981309 + ... + 1986359.

It is an arithmetic number, because the mean of its divisors is an integer number (455134680).

Almost surely, 210020345534 is an apocalyptic number.

10020345534 is an abundant number, since it is smaller than the sum of its proper divisors (11826119106).

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

10020345534 is a wasteful number, since it uses less digits than its factorization.

10020345534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10020345534 its reverse (43554302001), we get a palindrome (53574647535).

The spelling of 10020345534 in words is "ten billion, twenty million, three hundred forty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 307 359 614 718 921 1077 1842 2154 2763 3231 5051 5526 6462 10102 15153 30306 45459 90918 110213 220426 330639 661278 991917 1550657 1813309 1983834 3101314 3626618 4651971 5439927 9303942 10879854 13955913 16319781 27911826 32639562 556685863 1113371726 1670057589 3340115178 5010172767 10020345534