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99900122100999 = 31117374812840107
BaseRepresentation
bin10110101101101111001111…
…010010100111010100000111
3111002201100200021102120010020
4112231233033102213110013
5101043230422224212444
6552245252120430223
730020355104045313
oct2655571722472407
9432640607376106
1099900122100999
11299164495983a0
12b255390918373
134398705a1781c
141a95298096b43
15b83971153119
hex5adbcf4a7507

99900122100999 has 32 divisors (see below), whose sum is σ = 158015166425856. Its totient is φ = 55443918021120.

The previous prime is 99900122100997. The next prime is 99900122101001.

It is a happy number.

99900122100999 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (99900122100997) and next prime (99900122101001).

It is not a de Polignac number, because 99900122100999 - 21 = 99900122100997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99900122100997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406399297 + ... + 2406440810.

It is an arithmetic number, because the mean of its divisors is an integer number (4937973950808).

Almost surely, 299900122100999 is an apocalyptic number.

99900122100999 is a deficient number, since it is larger than the sum of its proper divisors (58115044324857).

99900122100999 is a wasteful number, since it uses less digits than its factorization.

99900122100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812840175.

The product of its (nonzero) digits is 2125764, while the sum is 60.

The spelling of 99900122100999 in words is "ninety-nine trillion, nine hundred billion, one hundred twenty-two million, one hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 4812840107 14438520321 52941241177 81818281819 158823723531 178075083959 245454845457 534225251877 900001100009 1958825923549 2700003300027 3027276427303 5876477770647 9081829281909 33300040700333 99900122100999