Search a number
-
+
10110202300 = 22521141373601
BaseRepresentation
bin10010110101001110…
…10111000110111100
3222002121010111021001
421122213113012330
5131201202433200
64351120420044
7505353205312
oct113247270674
928077114231
1010110202300
114318a446a0
121b61a77624
13c51793933
146bca4c0b2
153e28ca76a
hex25a9d71bc

10110202300 has 144 divisors (see below), whose sum is σ = 24623986464. Its totient is φ = 3571200000.

The previous prime is 10110202273. The next prime is 10110202339. The reversal of 10110202300 is 320201101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16822000 + ... + 16822600.

It is an arithmetic number, because the mean of its divisors is an integer number (170999906).

Almost surely, 210110202300 is an apocalyptic number.

10110202300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311993232).

10110202300 is an abundant number, since it is smaller than the sum of its proper divisors (14513784164).

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

10110202300 is a wasteful number, since it uses less digits than its factorization.

10110202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10110202300 its reverse (320201101), we get a palindrome (10430403401).

The spelling of 10110202300 in words is "ten billion, one hundred ten million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 373 410 451 550 601 746 820 902 1025 1100 1202 1492 1804 1865 2050 2255 2404 3005 3730 4100 4103 4510 6010 6611 7460 8206 9020 9325 11275 12020 13222 15025 15293 16412 18650 20515 22550 24641 26444 30050 30586 33055 37300 41030 45100 49282 60100 61172 66110 76465 82060 98564 102575 123205 132220 152930 165275 168223 205150 224173 246410 271051 305860 330550 336446 382325 410300 448346 492820 542102 616025 661100 672892 764650 841115 896692 1084204 1120865 1232050 1355255 1529300 1682230 2241730 2464100 2465903 2710510 3364460 4205575 4483460 4931806 5421020 5604325 6776275 8411150 9191093 9863612 11208650 12329515 13552550 16822300 18382186 22417300 24659030 27105100 36764372 45955465 49318060 61647575 91910930 101102023 123295150 183821860 202204046 229777325 246590300 404408092 459554650 505510115 919109300 1011020230 2022040460 2527550575 5055101150 10110202300