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10116024270 = 23511199716633
BaseRepresentation
bin10010110101111011…
…00100011111001110
3222010000002021111120
421122331210133032
5131204200234040
64351445301410
7505453534062
oct113275443716
928100067446
1010116024270
114321260840
121b63a04866
13c52a518a1
146bd725aa2
153e317a7d0
hex25af647ce

10116024270 has 128 divisors (see below), whose sum is σ = 28168680960. Its totient is φ = 2299207680.

The previous prime is 10116024221. The next prime is 10116024277. The reversal of 10116024270 is 7242061101.

It is a self number, because there is not a number n which added to its sum of digits gives 10116024270.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116024277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599874 + ... + 616506.

It is an arithmetic number, because the mean of its divisors is an integer number (220067820).

Almost surely, 210116024270 is an apocalyptic number.

10116024270 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 10116024270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084340480).

10116024270 is an abundant number, since it is smaller than the sum of its proper divisors (18052656690).

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

10116024270 is a wasteful number, since it uses less digits than its factorization.

10116024270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16770.

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 10116024270 its reverse (7242061101), we get a palindrome (17358085371).

The spelling of 10116024270 in words is "ten billion, one hundred sixteen million, twenty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 97 110 114 165 190 194 209 285 291 330 418 485 570 582 627 970 1045 1067 1254 1455 1843 2090 2134 2910 3135 3201 3686 5335 5529 6270 6402 9215 10670 11058 16005 16633 18430 20273 27645 32010 33266 40546 49899 55290 60819 83165 99798 101365 121638 166330 182963 202730 249495 304095 316027 365926 498990 548889 608190 632054 914815 948081 1097778 1580135 1613401 1829630 1896162 2744445 3160270 3226802 3476297 4740405 4840203 5488890 6952594 8067005 9480810 9680406 10428891 16134010 17381485 17747411 20857782 24201015 30654619 34762970 35494822 48402030 52144455 53242233 61309238 88737055 91963857 104288910 106484466 153273095 177474110 183927714 266211165 306546190 337200809 459819285 532422330 674401618 919638570 1011602427 1686004045 2023204854 3372008090 5058012135 10116024270