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2122302241332 = 223371322937113137
BaseRepresentation
bin11110111000100011000…
…100100011101000110100
321111220000220002102212000
4132320203010203220310
5234232433333210312
64302545554255300
7306221425255230
oct36704304435064
97456026072760
102122302241332
11749077317999
122a3396887530
131251946c9b00
1474a118895c0
153a315148adc
hex1ee23123a34

2122302241332 has 1152 divisors, whose sum is σ = 7351702041600. Its totient is φ = 517363531776.

The previous prime is 2122302241291. The next prime is 2122302241337. The reversal of 2122302241332 is 2331422032212.

2122302241332 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 302 + 24 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2122302241296 and 2122302241305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122302241337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15491257168 + ... + 15491257304.

It is an arithmetic number, because the mean of its divisors is an integer number (6381685800).

Almost surely, 22122302241332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122302241332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675851020800).

2122302241332 is an abundant number, since it is smaller than the sum of its proper divisors (5229399800268).

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

2122302241332 is a wasteful number, since it uses less digits than its factorization.

2122302241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2122302241332 its reverse (2331422032212), we get a palindrome (4453724273544).

The spelling of 2122302241332 in words is "two trillion, one hundred twenty-two billion, three hundred two million, two hundred forty-one thousand, three hundred thirty-two".