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100220222220112 = 2429215991858233
BaseRepresentation
bin10110110010011001010110…
…101111101010011101010000
3111010211221220121021102201101
4112302121112233222131100
5101114002003342020422
6553052311241114144
730052446351134221
oct2662312657523520
9433757817242641
10100220222220112
1129a2a180786685
12b2a7425788954
1343bc959ba6b27
141aa6982903248
15b8be58257c27
hex5b2656bea750

100220222220112 has 20 divisors (see below), whose sum is σ = 200872428157620. Its totient is φ = 48382176243968.

The previous prime is 100220222220103. The next prime is 100220222220113. The reversal of 100220222220112 is 211022222022001.

It can be written as a sum of positive squares in 2 ways, for example, as 37159216538896 + 63061005681216 = 6095836^2 + 7941096^2 .

It is a super-3 number, since 3×1002202222201123 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100220222220112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220222220113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107995928653 + ... + 107995929580.

It is an arithmetic number, because the mean of its divisors is an integer number (10043621407881).

Almost surely, 2100220222220112 is an apocalyptic number.

It is an amenable number.

100220222220112 is an abundant number, since it is smaller than the sum of its proper divisors (100652205937508).

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

100220222220112 is a wasteful number, since it uses less digits than its factorization.

100220222220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215991858270 (or 215991858264 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100220222220112 its reverse (211022222022001), we get a palindrome (311242444242113).

The spelling of 100220222220112 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 215991858233 431983716466 863967432932 1727934865864 3455869731728 6263763888757 12527527777514 25055055555028 50110111110056 100220222220112