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4402135122 = 237112866221
BaseRepresentation
bin1000001100110001…
…10100000001010010
3102100210101122010120
410012120310001102
533003421310442
62004453011110
7214042350120
oct40630640122
912323348116
104402135122
111959988300
12a2a323a96
1355202caa8
142da912910
151ab70b4ec
hex106634052

4402135122 has 48 divisors (see below), whose sum is σ = 11059922496. Its totient is φ = 1143410400.

The previous prime is 4402135121. The next prime is 4402135123. The reversal of 4402135122 is 2215312044.

It is an interprime number because it is at equal distance from previous prime (4402135121) and next prime (4402135123).

It is a junction number, because it is equal to n+sod(n) for n = 4402135092 and 4402135101.

It is not an unprimeable number, because it can be changed into a prime (4402135121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428029 + ... + 438192.

It is an arithmetic number, because the mean of its divisors is an integer number (230415052).

Almost surely, 24402135122 is an apocalyptic number.

4402135122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4402135122 is an abundant number, since it is smaller than the sum of its proper divisors (6657787374).

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

4402135122 is a wasteful number, since it uses less digits than its factorization.

4402135122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866255 (or 866244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4402135122 is about 66348.5879427739. The cubic root of 4402135122 is about 1638.9075515022.

Adding to 4402135122 its reverse (2215312044), we get a palindrome (6617447166).

The spelling of 4402135122 in words is "four billion, four hundred two million, one hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 866221 1732442 2598663 5197326 6063547 9528431 12127094 18190641 19056862 28585293 36381282 57170586 66699017 104812741 133398034 200097051 209625482 314438223 400194102 628876446 733689187 1467378374 2201067561 4402135122