Search a number
-
+
100130301 = 3229213229
BaseRepresentation
bin1011111011111…
…01110111111101
320222102010221200
411331331313331
5201113132201
613534050113
72324044035
oct575756775
9228363850
10100130301
1151580417
1229649939
131798abcb
14d4268c5
158bcd386
hex5f7ddfd

100130301 has 18 divisors (see below), whose sum is σ = 149803290. Its totient is φ = 64446816.

The previous prime is 100130297. The next prime is 100130309. The reversal of 100130301 is 103031001.

It can be written as a sum of positive squares in 3 ways, for example, as 50765625 + 49364676 = 7125^2 + 7026^2 .

It is not a de Polignac number, because 100130301 - 22 = 100130297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 955 + ... + 14183.

It is an arithmetic number, because the mean of its divisors is an integer number (8322405).

Almost surely, 2100130301 is an apocalyptic number.

It is an amenable number.

100130301 is a deficient number, since it is larger than the sum of its proper divisors (49672989).

100130301 is a wasteful number, since it uses less digits than its factorization.

100130301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13293 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100130301 is about 10006.5129290877. The cubic root of 100130301 is about 464.3603970840.

Adding to 100130301 its reverse (103031001), we get a palindrome (203161302).

The spelling of 100130301 in words is "one hundred million, one hundred thirty thousand, three hundred one".

Divisors: 1 3 9 29 87 261 841 2523 7569 13229 39687 119061 383641 1150923 3452769 11125589 33376767 100130301