Search a number
-
+
13122420012 = 22331314896277
BaseRepresentation
bin11000011100010100…
…00011110100101100
31020212112011000011000
430032022003310230
5203333314420022
610010043000300
7643120505202
oct141612036454
936775130130
1013122420012
11562429a419
122662809090
131311865290
148c6b15072
1551c0846ac
hex30e283d2c

13122420012 has 96 divisors (see below), whose sum is σ = 36668542400. Its totient is φ = 4034313216.

The previous prime is 13122419987. The next prime is 13122420029. The reversal of 13122420012 is 21002422131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2087418 + ... + 2093694.

Almost surely, 213122420012 is an apocalyptic number.

13122420012 is a gapful number since it is divisible by the number (12) 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 13122420012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18334271200).

13122420012 is an abundant number, since it is smaller than the sum of its proper divisors (23546122388).

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

13122420012 is a wasteful number, since it uses less digits than its factorization.

13122420012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13122420012 its reverse (21002422131), we get a palindrome (34124842143).

The spelling of 13122420012 in words is "thirteen billion, one hundred twenty-two million, four hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1489 2978 4467 5956 6277 8934 12554 13401 17868 18831 19357 25108 26802 37662 38714 40203 53604 56493 58071 75324 77428 80406 81601 112986 116142 160812 163202 169479 174213 225972 232284 244803 326404 338958 348426 489606 522639 677916 696852 734409 979212 1045278 1468818 2090556 2203227 2937636 4406454 8812908 9346453 18692906 28039359 37385812 56078718 84118077 112157436 121503889 168236154 243007778 252354231 336472308 364511667 486015556 504708462 729023334 1009416924 1093535001 1458046668 2187070002 3280605003 4374140004 6561210006 13122420012