Search a number
-
+
10021121513 = 13259296577
BaseRepresentation
bin10010101010100111…
…00010110111101001
3221212101111201101122
421111103202313221
5131010401342023
64334215225025
7503222061464
oct112523426751
927771451348
1010021121513
114282730a07
121b38078175
13c391a4200
146b0ca02db
153d9b812c8
hex2554e2de9

10021121513 has 6 divisors (see below), whose sum is σ = 10851273774. Its totient is φ = 9250265856.

The previous prime is 10021121447. The next prime is 10021121527. The reversal of 10021121513 is 31512112001.

It can be written as a sum of positive squares in 3 ways, for example, as 934647184 + 9086474329 = 30572^2 + 95323^2 .

It is not a de Polignac number, because 10021121513 - 230 = 8947379689 is a prime.

It is a super-2 number, since 2×100211215132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021121491 and 10021121500.

It is not an unprimeable number, because it can be changed into a prime (10021121573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29648120 + ... + 29648457.

It is an arithmetic number, because the mean of its divisors is an integer number (1808545629).

Almost surely, 210021121513 is an apocalyptic number.

10021121513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10021121513 is a deficient number, since it is larger than the sum of its proper divisors (830152261).

10021121513 is an equidigital number, since it uses as much as digits as its factorization.

10021121513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59296603 (or 59296590 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 10021121513 its reverse (31512112001), we get a palindrome (41533233514).

The spelling of 10021121513 in words is "ten billion, twenty-one million, one hundred twenty-one thousand, five hundred thirteen".

Divisors: 1 13 169 59296577 770855501 10021121513