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10123321350 = 23521393971223
BaseRepresentation
bin10010110110110010…
…11010000000000110
3222010111211000012210
421123121122000012
5131213032240400
64352305524250
7505602545262
oct113331320006
928114730183
1010123321350
11432539518a
121b66343686
13c5440809c
146c06a50a2
153e3b1c950
hex25b65a006

10123321350 has 96 divisors (see below), whose sum is σ = 25370876160. Its totient is φ = 2671194240.

The previous prime is 10123321349. The next prime is 10123321367. The reversal of 10123321350 is 5312332101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8276839 + ... + 8278061.

It is an arithmetic number, because the mean of its divisors is an integer number (264279960).

Almost surely, 210123321350 is an apocalyptic number.

10123321350 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 10123321350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685438080).

10123321350 is an abundant number, since it is smaller than the sum of its proper divisors (15247554810).

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

10123321350 is a wasteful number, since it uses less digits than its factorization.

10123321350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10123321350 its reverse (5312332101), we get a palindrome (15435653451).

The spelling of 10123321350 in words is "ten billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 139 150 278 397 417 695 794 834 1191 1223 1390 1985 2085 2382 2446 3475 3669 3970 4170 5955 6115 6950 7338 9925 10425 11910 12230 18345 19850 20850 29775 30575 36690 55183 59550 61150 91725 110366 165549 169997 183450 275915 331098 339994 485531 509991 551830 827745 849985 971062 1019982 1379575 1456593 1655490 1699970 2427655 2549955 2759150 2913186 4138725 4249925 4855310 5099910 7282965 8277450 8499850 12138275 12749775 14565930 24276550 25499550 36414825 67488809 72829650 134977618 202466427 337444045 404932854 674888090 1012332135 1687220225 2024664270 3374440450 5061660675 10123321350