Search a number
-
+
100122122012120 = 23513192542542331
BaseRepresentation
bin10110110000111101111111…
…100001000100010111011000
3111010111120200211102112011122
4112300331333201010113120
5101110400101213341440
6552535245021144412
730042404343131015
oct2660757741042730
9433446624375148
10100122122012120
11299a160a77441a
12b2904080bb108
1343b3624b57390
141aa1d17cd470c
15b89615bd97b5
hex5b0f7f8445d8

100122122012120 has 32 divisors (see below), whose sum is σ = 242603603338320. Its totient is φ = 36968168127360.

The previous prime is 100122122012119. The next prime is 100122122012123. The reversal of 100122122012120 is 21210221221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122122012123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96271270646 + ... + 96271271685.

Almost surely, 2100122122012120 is an apocalyptic number.

100122122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122122012120 is an abundant number, since it is smaller than the sum of its proper divisors (142481481326200).

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

100122122012120 is a wasteful number, since it uses less digits than its factorization.

100122122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192542542355 (or 192542542351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100122122012120 its reverse (21210221221001), we get a palindrome (121332343233121).

The spelling of 100122122012120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 192542542331 385085084662 770170169324 962712711655 1540340338648 1925425423310 2503053050303 3850850846620 5006106100606 7701701693240 10012212201212 12515265251515 20024424402424 25030530503030 50061061006060 100122122012120