Search a number
-
+
10315414050 = 23524311314153
BaseRepresentation
bin10011001101101100…
…01011101000100010
3222121220021022212020
421212312023220202
5132111221222200
64423331042310
7513424400304
oct114666135042
928556238766
1010315414050
114413867287
121bba740396
13c851541c6
146dbdc9974
15405913ea0
hex266d8ba22

10315414050 has 96 divisors (see below), whose sum is σ = 26410684608. Its totient is φ = 2662840320.

The previous prime is 10315414033. The next prime is 10315414061. The reversal of 10315414050 is 5041451301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10315414050.

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, 721774 + ... + 735926.

It is an arithmetic number, because the mean of its divisors is an integer number (275111298).

Almost surely, 210315414050 is an apocalyptic number.

10315414050 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 10315414050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205342304).

10315414050 is an abundant number, since it is smaller than the sum of its proper divisors (16095270558).

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

10315414050 is a wasteful number, since it uses less digits than its factorization.

10315414050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14324 (or 14319 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10315414050 its reverse (5041451301), we get a palindrome (15356865351).

The spelling of 10315414050 in words is "ten billion, three hundred fifteen million, four hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 113 129 150 215 226 258 339 430 565 645 678 1075 1130 1290 1695 2150 2825 3225 3390 4859 5650 6450 8475 9718 14153 14577 16950 24295 28306 29154 42459 48590 70765 72885 84918 121475 141530 145770 212295 242950 353825 364425 424590 608579 707650 728850 1061475 1217158 1599289 1825737 2122950 3042895 3198578 3651474 4797867 6085790 7996445 9128685 9595734 15214475 15992890 18257370 23989335 30428950 39982225 45643425 47978670 68769427 79964450 91286850 119946675 137538854 206308281 239893350 343847135 412616562 687694270 1031541405 1719235675 2063082810 3438471350 5157707025 10315414050