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122013233344 = 2610740034451
BaseRepresentation
bin111000110100010001…
…1100011000011000000
3102122221022102110110101
41301220203203003000
53444340341431334
6132015131012144
711546413241242
oct1615043430300
9378838373411
10122013233344
1147822320132
121b791b9a054
13b676315bc2
145c96888092
153291ace214
hex1c688e30c0

122013233344 has 56 divisors (see below), whose sum is σ = 244498782528. Its totient is φ = 60407788800.

The previous prime is 122013233341. The next prime is 122013233371. The reversal of 122013233344 is 443332310221.

It is a happy number.

It is a super-2 number, since 2×1220132333442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122013233341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27410319 + ... + 27414769.

It is an arithmetic number, because the mean of its divisors is an integer number (4366049688).

Almost surely, 2122013233344 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 122013233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122249391264).

122013233344 is an abundant number, since it is smaller than the sum of its proper divisors (122485549184).

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

122013233344 is a wasteful number, since it uses less digits than its factorization.

122013233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 122013233344 its reverse (443332310221), we get a palindrome (565345543565).

The spelling of 122013233344 in words is "one hundred twenty-two billion, thirteen million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 4003 4451 6848 8006 8902 16012 17804 32024 35608 64048 71216 128096 142432 256192 284864 428321 476257 856642 952514 1713284 1905028 3426568 3810056 6853136 7620112 13706272 15240224 17817353 27412544 30480448 35634706 71269412 142538824 285077648 570155296 1140310592 1906456771 3812913542 7625827084 15251654168 30503308336 61006616672 122013233344