Search a number
-
+
2100100122 = 23415498369
BaseRepresentation
bin111110100101100…
…1111110000011010
312102100201010210000
41331023033300122
513300111200442
6544220233430
7103020361611
oct17513176032
95370633700
102100100122
119884a733a
124a739b876
132761245c3
1415ccb4878
15c4586d4c
hex7d2cfc1a

2100100122 has 40 divisors (see below), whose sum is σ = 4709380500. Its totient is φ = 699497856.

The previous prime is 2100100109. The next prime is 2100100127. The reversal of 2100100122 is 2210010012.

It can be written as a sum of positive squares in 2 ways, for example, as 2097731601 + 2368521 = 45801^2 + 1539^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2100100127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246754 + ... + 255122.

Almost surely, 22100100122 is an apocalyptic number.

2100100122 is an abundant number, since it is smaller than the sum of its proper divisors (2609280378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100100122 is a wasteful number, since it uses less digits than its factorization.

2100100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100100122 is about 45826.8493571181. The cubic root of 2100100122 is about 1280.5995161160.

Adding to 2100100122 its reverse (2210010012), we get a palindrome (4310110134).

It can be divided in two parts, 210010012 and 2, that multiplied together give a palindrome (420020024).

The spelling of 2100100122 in words is "two billion, one hundred million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1549 3098 4647 8369 9294 13941 16738 25107 27882 41823 50214 75321 83646 125469 150642 225963 250938 451926 677889 1355778 12963581 25927162 38890743 77781486 116672229 233344458 350016687 700033374 1050050061 2100100122