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2122111100142 = 2321165916263631
BaseRepresentation
bin11110111000010111101…
…011011010010011101110
321111212112120102110102200
4132320113223122103232
5234232040420201032
64302515005402330
7306213614505255
oct36702753322356
97455476373380
102122111100142
11748a89435770
122a33428693a6
13125163c24b07
14749d433179c
153a30348e47c
hex1ee17ada4ee

2122111100142 has 48 divisors (see below), whose sum is σ = 5023510652160. Its totient is φ = 642088112400.

The previous prime is 2122111100111. The next prime is 2122111100143. The reversal of 2122111100142 is 2410011112212.

2122111100142 is a `hidden beast` number, since 212 + 211 + 1 + 100 + 142 = 666.

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

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8001334 + ... + 8262297.

It is an arithmetic number, because the mean of its divisors is an integer number (104656471920).

Almost surely, 22122111100142 is an apocalyptic number.

2122111100142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122111100142 is an abundant number, since it is smaller than the sum of its proper divisors (2901399552018).

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

2122111100142 is a wasteful number, since it uses less digits than its factorization.

2122111100142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264309 (or 16264306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122111100142 its reverse (2410011112212), we get a palindrome (4532122212354).

The spelling of 2122111100142 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 659 1318 1977 3954 5931 7249 11862 14498 21747 43494 65241 130482 16263631 32527262 48790893 97581786 146372679 178899941 292745358 357799882 536699823 1073399646 1610099469 3220198938 10717732829 21435465658 32153198487 64306396974 96459595461 117895061119 192919190922 235790122238 353685183357 707370366714 1061055550071 2122111100142