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100300331120220 = 2232571117538396769
BaseRepresentation
bin10110110011100011111101…
…100110110111011001011100
3111011010121200112022012120200
4112303203331212313121130
5101121310034231321340
6553153200324543500
730061313464426650
oct2663437546673134
9434117615265520
10100300331120220
1129a6014a102a50
12b2baa61b51b90
1343c738574a47a
141aaa7c1d08a60
15b8e096088330
hex5b38fd9b765c

100300331120220 has 1152 divisors, whose sum is σ = 414142849935360. Its totient is φ = 19013472092160.

The previous prime is 100300331120201. The next prime is 100300331120323. The reversal of 100300331120220 is 22021133003001.

100300331120220 is a `hidden beast` number, since 1 + 0 + 0 + 300 + 33 + 112 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100300331120193 and 100300331120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1036443996 + ... + 1036540764.

It is an arithmetic number, because the mean of its divisors is an integer number (359499001680).

Almost surely, 2100300331120220 is an apocalyptic number.

100300331120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100300331120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207071424967680).

100300331120220 is an abundant number, since it is smaller than the sum of its proper divisors (313842518815140).

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

100300331120220 is a wasteful number, since it uses less digits than its factorization.

100300331120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96955 (or 96950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100300331120220 its reverse (22021133003001), we get a palindrome (122321464123221).

The spelling of 100300331120220 in words is "one hundred trillion, three hundred billion, three hundred thirty-one million, one hundred twenty thousand, two hundred twenty".