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10321121268 = 22324350913099
BaseRepresentation
bin10011001110010111…
…11100111111110100
3222122022000021200200
421213023330333310
5132114201340033
64424053240500
7513524040363
oct114713747764
928568007620
1010321121268
114417005197
122000633130
13c863a1b63
146dca737da
15406190013
hex2672fcff4

10321121268 has 72 divisors (see below), whose sum is σ = 26750724000. Its totient is φ = 3353507136.

The previous prime is 10321121267. The next prime is 10321121299. The reversal of 10321121268 is 86212112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321121267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781383 + ... + 794481.

Almost surely, 210321121268 is an apocalyptic number.

10321121268 is a gapful number since it is divisible by the number (18) 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 10321121268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375362000).

10321121268 is an abundant number, since it is smaller than the sum of its proper divisors (16429602732).

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

10321121268 is a wasteful number, since it uses less digits than its factorization.

10321121268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13661 (or 13656 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10321121268 its reverse (86212112301), we get a palindrome (96533233569).

The spelling of 10321121268 in words is "ten billion, three hundred twenty-one million, one hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 509 516 774 1018 1527 1548 2036 3054 4581 6108 9162 13099 18324 21887 26198 39297 43774 52396 65661 78594 87548 117891 131322 157188 196983 235782 262644 393966 471564 563257 787932 1126514 1689771 2253028 3379542 5069313 6667391 6759084 10138626 13334782 20002173 20277252 26669564 40004346 60006519 80008692 120013038 240026076 286697813 573395626 860093439 1146791252 1720186878 2580280317 3440373756 5160560634 10321121268