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10323413388 = 2234294492447
BaseRepresentation
bin10011001110101001…
…01100100110001100
3222122110022201220000
421213110230212030
5132120243212023
64424214324300
7513552365061
oct114724544614
928573281800
1010323413388
114418330302
122001359690
13c869c5242
146dd0acc68
15406494243
hex26752c98c

10323413388 has 120 divisors (see below), whose sum is σ = 27991656000. Its totient is φ = 3313723392.

The previous prime is 10323413377. The next prime is 10323413389. The reversal of 10323413388 is 88331432301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10323413389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4217581 + ... + 4220027.

It is an arithmetic number, because the mean of its divisors is an integer number (233263800).

Almost surely, 210323413388 is an apocalyptic number.

10323413388 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 10323413388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995828000).

10323413388 is an abundant number, since it is smaller than the sum of its proper divisors (17668242612).

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

10323413388 is a wasteful number, since it uses less digits than its factorization.

10323413388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10323413388 its reverse (88331432301), we get a palindrome (98654845689).

The spelling of 10323413388 in words is "ten billion, three hundred twenty-three million, four hundred thirteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 449 522 783 898 1044 1347 1566 1796 2349 2447 2694 3132 4041 4698 4894 5388 7341 8082 9396 9788 12123 13021 14682 16164 22023 24246 26042 29364 36369 39063 44046 48492 52084 66069 70963 72738 78126 88092 117189 132138 141926 145476 156252 198207 212889 234378 264276 283852 351567 396414 425778 468756 638667 703134 792828 851556 1054701 1098703 1277334 1406268 1916001 2109402 2197406 2554668 3296109 3832002 4218804 4394812 5748003 6592218 7664004 9888327 11496006 13184436 19776654 22992012 29664981 31862387 39553308 59329962 63724774 88994943 95587161 118659924 127449548 177989886 191174322 286761483 355979772 382348644 573522966 860284449 1147045932 1720568898 2580853347 3441137796 5161706694 10323413388