Search a number
-
+
10100062623 = 37268707909
BaseRepresentation
bin10010110100000001…
…01011100110011111
3222001220001100020110
421122000223212133
5131141104000443
64350115221103
7505201054500
oct113200534637
928056040213
1010100062623
1143132495a2
121b5a5a7793
13c4c653621
146bb56cba7
153e1a76233
hex25a02b99f

10100062623 has 12 divisors (see below), whose sum is σ = 15665403480. Its totient is φ = 5771464272.

The previous prime is 10100062597. The next prime is 10100062691. The reversal of 10100062623 is 32626000101.

It is a happy number.

10100062623 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100062623 - 29 = 10100062111 is a prime.

It is a super-2 number, since 2×101000626232 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10100062623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100066623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34353808 + ... + 34354101.

It is an arithmetic number, because the mean of its divisors is an integer number (1305450290).

Almost surely, 210100062623 is an apocalyptic number.

10100062623 is a deficient number, since it is larger than the sum of its proper divisors (5565340857).

10100062623 is an equidigital number, since it uses as much as digits as its factorization.

10100062623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68707926 (or 68707919 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10100062623 its reverse (32626000101), we get a palindrome (42726062724).

The spelling of 10100062623 in words is "ten billion, one hundred million, sixty-two thousand, six hundred twenty-three".

Divisors: 1 3 7 21 49 147 68707909 206123727 480955363 1442866089 3366687541 10100062623