Search a number
-
+
100121111201020 = 225713296131097569
BaseRepresentation
bin10110110000111101000011…
…010001001000010011111100
3111010111111002101102000000111
4112300331003101020103330
5101110341013431413040
6552535000432035404
730042340320311620
oct2660750321102374
9433444071360014
10100121111201020
11299a1141137048
12b290185692b64
1343b34c36033c0
141aa1c5d971180
15b895a70bedea
hex5b0f434484fc

100121111201020 has 192 divisors, whose sum is σ = 272086322860800. Its totient is φ = 30092494602240.

The previous prime is 100121111201009. The next prime is 100121111201029. The reversal of 100121111201020 is 20102111121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121111201029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12329205 + ... + 18768364.

It is an arithmetic number, because the mean of its divisors is an integer number (1417116264900).

Almost surely, 2100121111201020 is an apocalyptic number.

100121111201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121111201020 is an abundant number, since it is smaller than the sum of its proper divisors (171965211659780).

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

100121111201020 is a wasteful number, since it uses less digits than its factorization.

100121111201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31097688 (or 31097686 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100121111201020 its reverse (20102111121001), we get a palindrome (120223222322021).

The spelling of 100121111201020 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven million, two hundred one thousand, twenty".