Search a number
-
+
123030022100 = 22523974097577
BaseRepresentation
bin111001010010100101…
…0010010011111010100
3102202120011200200102012
41302211022102133110
54003431141201400
6132304052203352
711613540635036
oct1624512223724
9382504620365
10123030022100
11481a4270617
121ba16609558
13b7a8b8095b
145d51925c56
153300ec9d35
hex1ca52927d4

123030022100 has 72 divisors (see below), whose sum is σ = 268337434680. Its totient is φ = 48961566720.

The previous prime is 123030022079. The next prime is 123030022103. The reversal of 123030022100 is 1220030321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 34276079044 + 88753943056 = 185138^2 + 297916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16233512 + ... + 16241088.

It is an arithmetic number, because the mean of its divisors is an integer number (3726908815).

Almost surely, 2123030022100 is an apocalyptic number.

123030022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123030022100 is an abundant number, since it is smaller than the sum of its proper divisors (145307412580).

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

123030022100 is a wasteful number, since it uses less digits than its factorization.

123030022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 123030022100 its reverse (1220030321), we get a palindrome (124250052421).

The spelling of 123030022100 in words is "one hundred twenty-three billion, thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 409 794 818 1588 1636 1985 2045 3970 4090 7577 7940 8180 9925 10225 15154 19850 20450 30308 37885 39700 40900 75770 151540 162373 189425 324746 378850 649492 757700 811865 1623730 3008069 3098993 3247460 4059325 6016138 6197986 8118650 12032276 12395972 15040345 15494965 16237300 30080690 30989930 60161380 61979860 75201725 77474825 150403450 154949650 300806900 309899300 1230300221 2460600442 4921200884 6151501105 12303002210 24606004420 30757505525 61515011050 123030022100