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11312404410 = 2352317991591
BaseRepresentation
bin10101000100100010…
…11001011110111010
31002012101021200112010
422202101121132322
5141131433420120
65110304030350
7550221564606
oct124221313672
932171250463
1011312404410
11488561495a
1222386023b6
1310b3879528
14794592506
154631ed7e0
hex2a24597ba

11312404410 has 64 divisors (see below), whose sum is σ = 28488775680. Its totient is φ = 2869331520.

The previous prime is 11312404409. The next prime is 11312404567. The reversal of 11312404410 is 1440421311.

11312404410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77715 + ... + 169305.

It is an arithmetic number, because the mean of its divisors is an integer number (445137120).

Almost surely, 211312404410 is an apocalyptic number.

11312404410 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 11312404410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244387840).

11312404410 is an abundant number, since it is smaller than the sum of its proper divisors (17176371270).

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

11312404410 is a wasteful number, since it uses less digits than its factorization.

11312404410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91803.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11312404410 its reverse (1440421311), we get a palindrome (12752825721).

The spelling of 11312404410 in words is "eleven billion, three hundred twelve million, four hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 179 230 345 358 537 690 895 1074 1790 2685 4117 5370 8234 12351 20585 24702 41170 61755 91591 123510 183182 274773 457955 549546 915910 1373865 2106593 2747730 4213186 6319779 10532965 12639558 16394789 21065930 31598895 32789578 49184367 63197790 81973945 98368734 163947890 245921835 377080147 491843670 754160294 1131240441 1885400735 2262480882 3770801470 5656202205 11312404410