Search a number
-
+
10020210012 = 2232594717613
BaseRepresentation
bin10010101010100000…
…00100010101011100
3221212022210102001100
421111100010111130
5131010133210022
64334143513100
7503211244161
oct112520042534
927768712040
1010020210012
1142821690aa
121b378b8790
13c38c45367
146b0b04068
153d9a511ac
hex25540455c

10020210012 has 36 divisors (see below), whose sum is σ = 25758172440. Its totient is φ = 3283457952.

The previous prime is 10020210001. The next prime is 10020210037. The reversal of 10020210012 is 21001202001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020209976 and 10020210003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356683 + ... + 2360930.

It is an arithmetic number, because the mean of its divisors is an integer number (715504790).

Almost surely, 210020210012 is an apocalyptic number.

10020210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020210012 is an abundant number, since it is smaller than the sum of its proper divisors (15737962428).

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

10020210012 is a wasteful number, since it uses less digits than its factorization.

10020210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717682 (or 4717677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020210012 its reverse (21001202001), we get a palindrome (31021412013).

The spelling of 10020210012 in words is "ten billion, twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 4717613 9435226 14152839 18870452 28305678 42458517 56611356 84917034 169834068 278339167 556678334 835017501 1113356668 1670035002 2505052503 3340070004 5010105006 10020210012