Search a number
-
+
10201100210021 = 75993618767231
BaseRepresentation
bin1001010001110010000011…
…1101000100111101100101
31100010012211012202101202002
42110130200331010331211
52314113323123210041
633410153140255045
72102001526050560
oct224344075047545
940105735671662
1010201100210021
1132832981432a6
12118905b9a1485
1358cc6239cb36
14273a433a54d7
1512a549c9059b
hex94720f44f65

10201100210021 has 16 divisors (see below), whose sum is σ = 11678359756800. Its totient is φ = 8728831790640.

The previous prime is 10201100210017. The next prime is 10201100210033. The reversal of 10201100210021 is 12001200110201.

It is a cyclic number.

It is not a de Polignac number, because 10201100210021 - 22 = 10201100210017 is a prime.

It is a Duffinian number.

10201100210021 is a modest number, since divided by 210021 gives 102011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10201100209984 and 10201100210011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201100210011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151698476 + ... + 151765706.

It is an arithmetic number, because the mean of its divisors is an integer number (729897484800).

Almost surely, 210201100210021 is an apocalyptic number.

It is an amenable number.

10201100210021 is a deficient number, since it is larger than the sum of its proper divisors (1477259546779).

10201100210021 is an equidigital number, since it uses as much as digits as its factorization.

10201100210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104024.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201100210021 its reverse (12001200110201), we get a palindrome (22202300320222).

The spelling of 10201100210021 in words is "ten trillion, two hundred one billion, one hundred million, two hundred ten thousand, twenty-one".

Divisors: 1 7 599 4193 36187 67231 253309 470617 21676013 40271369 151732091 281899583 2432888197 17030217379 1457300030003 10201100210021