Search a number
-
+
10110210243132 = 223172291951110927
BaseRepresentation
bin1001001100011111011101…
…1111010111101000111100
31022210112012221020200120010
42103013313133113220330
52311121202310240012
633300322205023220
72062303302063426
oct223076737275074
938715187220503
1010110210243132
11324879712298a
121173514b54b10
13584509087b3c
1426d4a01dd816
15127eca719c3c
hex931f77d7a3c

10110210243132 has 96 divisors (see below), whose sum is σ = 25100326379520. Its totient is φ = 3156332774400.

The previous prime is 10110210243101. The next prime is 10110210243157. The reversal of 10110210243132 is 23134201201101.

It is a junction number, because it is equal to n+sod(n) for n = 10110210243099 and 10110210243108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91087453 + ... + 91198379.

It is an arithmetic number, because the mean of its divisors is an integer number (261461733120).

Almost surely, 210110210243132 is an apocalyptic number.

10110210243132 is a gapful number since it is divisible by the number (12) 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 10110210243132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550163189760).

10110210243132 is an abundant number, since it is smaller than the sum of its proper divisors (14990116136388).

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

10110210243132 is a wasteful number, since it uses less digits than its factorization.

10110210243132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113131 (or 113129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10110210243132 its reverse (23134201201101), we get a palindrome (33244411444233).

The spelling of 10110210243132 in words is "ten trillion, one hundred ten billion, two hundred ten million, two hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 458 687 916 1374 1951 2748 3893 3902 5853 7786 7804 11679 11706 15572 23358 23412 33167 46716 66334 99501 110927 132668 199002 221854 332781 398004 443708 446779 665562 893558 1331124 1340337 1787116 1885759 2680674 3771518 5361348 5657277 7543036 7595243 11314554 15190486 22629108 22785729 25402283 30380972 45571458 50804566 76206849 91142916 101609132 152413698 216418577 304827396 431838811 432837154 649255731 863677622 865674308 1295516433 1298511462 1727355244 2591032866 2597022924 3679115809 5182065732 7358231618 11037347427 14716463236 22074694854 44149389708 49559854133 99119708266 148679562399 198239416532 297359124798 594718249596 842517520261 1685035040522 2527552560783 3370070081044 5055105121566 10110210243132