Search a number
-
+
100021012253 is a prime number
BaseRepresentation
bin101110100100110110…
…1111000011100011101
3100120011122011212122022
41131021231320130131
53114320334343003
6113540553225525
710140420401501
oct1351155703435
9316148155568
10100021012253
11394672879a8
1217474a022a5
13957cc88826
144babb70301
152905eda738
hex1749b7871d

100021012253 has 2 divisors, whose sum is σ = 100021012254. Its totient is φ = 100021012252.

The previous prime is 100021012207. The next prime is 100021012261. The reversal of 100021012253 is 352210120001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58036182649 + 41984829604 = 240907^2 + 204902^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021012253 - 210 = 100021011229 is a prime.

It is a super-2 number, since 2×1000210122532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021072253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010506126 + 50010506127.

It is an arithmetic number, because the mean of its divisors is an integer number (50010506127).

Almost surely, 2100021012253 is an apocalyptic number.

It is an amenable number.

100021012253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021012253 is an equidigital number, since it uses as much as digits as its factorization.

100021012253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100021012253 its reverse (352210120001), we get a palindrome (452231132254).

The spelling of 100021012253 in words is "one hundred billion, twenty-one million, twelve thousand, two hundred fifty-three".