Search a number
-
+
10103321312 = 25753216057
BaseRepresentation
bin10010110100011010…
…00111001011100000
3222002010011220022122
421122031013023200
5131142422240222
64350313123412
7505240546160
oct113215071340
928063156278
1010103321312
114315074927
121b5b6b9568
13c50224946
146bbb7a5a0
153e1ebba42
hex25a3472e0

10103321312 has 72 divisors (see below), whose sum is σ = 23170923216. Its totient is φ = 4248032256.

The previous prime is 10103321309. The next prime is 10103321369. The reversal of 10103321312 is 21312330101.

It is a super-3 number, since 3×101033213123 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621188 + ... + 637244.

It is an arithmetic number, because the mean of its divisors is an integer number (321818378).

Almost surely, 210103321312 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 10103321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11585461608).

10103321312 is an abundant number, since it is smaller than the sum of its proper divisors (13067601904).

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

10103321312 is an equidigital number, since it uses as much as digits as its factorization.

10103321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10103321312 its reverse (21312330101), we get a palindrome (31415651413).

The spelling of 10103321312 in words is "ten billion, one hundred three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2809 2968 5618 5936 11236 11872 16057 19663 22472 32114 39326 44944 64228 78652 89888 112399 128456 157304 224798 256912 314608 449596 513824 629216 851021 899192 1702042 1798384 3404084 3596768 5957147 6808168 11914294 13616336 23828588 27232672 45104113 47657176 90208226 95314352 180416452 190628704 315728791 360832904 631457582 721665808 1262915164 1443331616 2525830328 5051660656 10103321312