Search a number
-
+
103321233330 = 23573174873187
BaseRepresentation
bin110000000111001101…
…1001110011110110010
3100212200122010110212120
41200032123032132302
53143100213431310
6115244244335110
710315252664340
oct1401633163662
9325618113776
10103321233330
113a900162937
12180360a4496
139987917673
1450021a6990
152a4aad3b70
hex180e6ce7b2

103321233330 has 128 divisors (see below), whose sum is σ = 284962516992. Its totient is φ = 23486070528.

The previous prime is 103321233317. The next prime is 103321233343. The reversal of 103321233330 is 33332123301.

103321233330 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103321233317) and next prime (103321233343).

It is a self number, because there is not a number n which added to its sum of digits gives 103321233330.

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 63 ways as a sum of consecutive naturals, for example, 32417997 + ... + 32421183.

It is an arithmetic number, because the mean of its divisors is an integer number (2226269664).

Almost surely, 2103321233330 is an apocalyptic number.

103321233330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103321233330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142481258496).

103321233330 is an abundant number, since it is smaller than the sum of its proper divisors (181641283662).

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

103321233330 is a wasteful number, since it uses less digits than its factorization.

103321233330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103321233330 its reverse (33332123301), we get a palindrome (136653356631).

The spelling of 103321233330 in words is "one hundred three billion, three hundred twenty-one million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 317 487 634 951 974 1461 1585 1902 2219 2435 2922 3170 3187 3409 4438 4755 4870 6374 6657 6818 7305 9510 9561 10227 11095 13314 14610 15935 17045 19122 20454 22190 22309 31870 33285 34090 44618 47805 51135 66570 66927 95610 102270 111545 133854 154379 223090 308758 334635 463137 669270 771895 926274 1010279 1080653 1543790 1552069 2020558 2161306 2315685 3030837 3104138 3241959 4631370 4656207 5051395 5403265 6061674 6483918 7071953 7760345 9312414 10102790 10806530 10864483 14143906 15154185 15520690 16209795 21215859 21728966 23281035 30308370 32419590 32593449 35359765 42431718 46562070 54322415 65186898 70719530 106079295 108644830 162967245 212158590 325934490 492005873 984011746 1476017619 2460029365 2952035238 3444041111 4920058730 6888082222 7380088095 10332123333 14760176190 17220205555 20664246666 34440411110 51660616665 103321233330