Search a number
-
+
10100283817 = 132311927903
BaseRepresentation
bin10010110100000011…
…00001100110101001
3222001220110120122211
421122001201212221
5131141133040232
64350124045121
7505202665411
oct113201414651
928056416584
1010100283817
11431338a7a8
121b5a6937a1
13c4c700200
146bb5c9641
153e1abba47
hex25a0619a9

10100283817 has 12 divisors (see below), whose sum is σ = 11289805824. Its totient is φ = 9022581360.

The previous prime is 10100283773. The next prime is 10100283839. The reversal of 10100283817 is 71838200101.

It is a happy number.

It is not a de Polignac number, because 10100283817 - 27 = 10100283689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100283877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958713 + ... + 969190.

It is an arithmetic number, because the mean of its divisors is an integer number (940817152).

Almost surely, 210100283817 is an apocalyptic number.

It is an amenable number.

10100283817 is a deficient number, since it is larger than the sum of its proper divisors (1189522007).

10100283817 is a wasteful number, since it uses less digits than its factorization.

10100283817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927960 (or 1927947 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 10100283817 its reverse (71838200101), we get a palindrome (81938483918).

The spelling of 10100283817 in words is "ten billion, one hundred million, two hundred eighty-three thousand, eight hundred seventeen".

Divisors: 1 13 31 169 403 5239 1927903 25062739 59764993 325815607 776944909 10100283817