Search a number
-
+
10202102002010 = 257474271364963
BaseRepresentation
bin1001010001110101110010…
…1010100111000101011010
31100010022102000210201000002
42110131130222213011122
52314122401103031020
633410440404213002
72102035412124122
oct224353452470532
940108360721002
1010202102002010
113283761680466
12118929b39a162
13590091ab6869
14273ada45bc82
1512a5a7bc7975
hex9475caa715a

10202102002010 has 16 divisors (see below), whose sum is σ = 18363821626656. Its totient is φ = 4080832351248.

The previous prime is 10202102001977. The next prime is 10202102002013. The reversal of 10202102002010 is 1020020120201.

It is a happy number.

10202102002010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10202102001982 and 10202102002000.

It is not an unprimeable number, because it can be changed into a prime (10202102002013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6791789 + ... + 8156751.

It is an arithmetic number, because the mean of its divisors is an integer number (1147738851666).

Almost surely, 210202102002010 is an apocalyptic number.

10202102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202102002010 is a deficient number, since it is larger than the sum of its proper divisors (8161719624646).

10202102002010 is a wasteful number, since it uses less digits than its factorization.

10202102002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112397.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202102002010 its reverse (1020020120201), we get a palindrome (11222122122211).

The spelling of 10202102002010 in words is "ten trillion, two hundred two billion, one hundred two million, two thousand, ten".

Divisors: 1 2 5 10 747427 1364963 1494854 2729926 3737135 6824815 7474270 13649630 1020210200201 2040420400402 5101051001005 10202102002010