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2122323131100 = 2235247263631907
BaseRepresentation
bin11110111000100100010…
…100001111101011011100
321111220002100101202020010
4132320210110033223130
5234233004210143400
64302552022123220
7306222100651314
oct36704424175334
97456070352203
102122323131100
11749088095767
122a33a1880510
13125198b32213
1474a14566444
153a316dc3450
hex1ee2450fadc

2122323131100 has 288 divisors, whose sum is σ = 6312012005376. Its totient is φ = 550323244800.

The previous prime is 2122323131099. The next prime is 2122323131101. The reversal of 2122323131100 is 11313232212.

It is an interprime number because it is at equal distance from previous prime (2122323131099) and next prime (2122323131101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122323131101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2339936847 + ... + 2339937753.

It is an arithmetic number, because the mean of its divisors is an integer number (21916708352).

Almost surely, 22122323131100 is an apocalyptic number.

2122323131100 is a gapful number since it is divisible by the number (20) 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 2122323131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156006002688).

2122323131100 is an abundant number, since it is smaller than the sum of its proper divisors (4189688874276).

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

2122323131100 is a wasteful number, since it uses less digits than its factorization.

2122323131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2122323131100 its reverse (11313232212), we get a palindrome (2133636363312).

The spelling of 2122323131100 in words is "two trillion, one hundred twenty-two billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred".