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2122111100144 = 247117118318837
BaseRepresentation
bin11110111000010111101…
…011011010010011110000
321111212112120102110102202
4132320113223122103300
5234232040420201034
64302515005402332
7306213614505260
oct36702753322360
97455476373382
102122111100144
11748a89435772
122a33428693a8
13125163c24b09
14749d43317a0
153a30348e47e
hex1ee17ada4f0

2122111100144 has 80 divisors (see below), whose sum is σ = 4706074077696. Its totient is φ = 908100460800.

The previous prime is 2122111100143. The next prime is 2122111100167. The reversal of 2122111100144 is 4410011112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240134894 + ... + 240143730.

Almost surely, 22122111100144 is an apocalyptic number.

It is an amenable number.

2122111100144 is an abundant number, since it is smaller than the sum of its proper divisors (2583962977552).

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

2122111100144 is a wasteful number, since it uses less digits than its factorization.

2122111100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 2122111100144 its reverse (4410011112212), we get a palindrome (6532122212356).

The spelling of 2122111100144 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1171 1831 2342 3662 4684 7324 8197 8837 9368 12817 14648 16394 17674 18736 25634 29296 32788 35348 51268 61859 65576 70696 102536 123718 131152 141392 205072 247436 494872 989744 2144101 4288202 8576404 10348127 15008707 16180547 17152808 20696254 30017414 32361094 34305616 41392508 60034828 64722188 72436889 82785016 113263829 120069656 129444376 144873778 165570032 226527658 240139312 258888752 289747556 453055316 579495112 906110632 1158990224 1812221264 18947420537 37894841074 75789682148 132631943759 151579364296 265263887518 303158728592 530527775036 1061055550072 2122111100144