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122313014432 = 2572773100913
BaseRepresentation
bin111000111101001101…
…1000111110010100000
3102200201012111220210122
41301322123013302200
54000444112430212
6132105000215412
711560013316500
oct1617233076240
9380635456718
10122313014432
11479665650a4
121b85646a568
13b6c346816b
145cc4601a00
1532ad098272
hex1c7a6c7ca0

122313014432 has 72 divisors (see below), whose sum is σ = 280483802676. Its totient is φ = 52351531008.

The previous prime is 122313014429. The next prime is 122313014459. The reversal of 122313014432 is 234410313221.

It can be written as a sum of positive squares in 2 ways, for example, as 80499308176 + 41813706256 = 283724^2 + 204484^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1161608 + ... + 1262520.

Almost surely, 2122313014432 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 122313014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241901338).

122313014432 is an abundant number, since it is smaller than the sum of its proper divisors (158170788244).

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

122313014432 is a wasteful number, since it uses less digits than its factorization.

122313014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101710 (or 101695 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122313014432 its reverse (234410313221), we get a palindrome (356723327653).

The spelling of 122313014432 in words is "one hundred twenty-two billion, three hundred thirteen million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 773 784 1546 1568 3092 5411 6184 10822 12368 21644 24736 37877 43288 75754 86576 100913 151508 173152 201826 303016 403652 606032 706391 807304 1212064 1412782 1614608 2825564 3229216 4944737 5651128 9889474 11302256 19778948 22604512 39557896 78005749 79115792 156011498 158231584 312022996 546040243 624045992 1092080486 1248091984 2184160972 2496183968 3822281701 4368321944 7644563402 8736643888 15289126804 17473287776 30578253608 61156507216 122313014432