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11340211400 = 2352737218923
BaseRepresentation
bin10101000111110110…
…11110010011001000
31002021022121102112122
422203323132103020
5141211043231100
65113140030412
7551010130550
oct124373362310
932238542478
1011340211400
11489a287741
122245992408
1310b956427b
14798150160
15465892985
hex2a3ede4c8

11340211400 has 96 divisors (see below), whose sum is σ = 30947096640. Its totient is φ = 3782972160.

The previous prime is 11340211373. The next prime is 11340211451. The reversal of 11340211400 is 411204311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57662 + ... + 161261.

It is an arithmetic number, because the mean of its divisors is an integer number (322365590).

Almost surely, 211340211400 is an apocalyptic number.

11340211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340211400 is an abundant number, since it is smaller than the sum of its proper divisors (19606885240).

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

11340211400 is a wasteful number, since it uses less digits than its factorization.

11340211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218983 (or 218974 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11340211400 its reverse (411204311), we get a palindrome (11751415711).

The spelling of 11340211400 in words is "eleven billion, three hundred forty million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 140 148 175 185 200 259 280 296 350 370 518 700 740 925 1036 1295 1400 1480 1850 2072 2590 3700 5180 6475 7400 10360 12950 25900 51800 218923 437846 875692 1094615 1532461 1751384 2189230 3064922 4378460 5473075 6129844 7662305 8100151 8756920 10946150 12259688 15324610 16200302 21892300 30649220 32400604 38311525 40500755 43784600 56701057 61298440 64801208 76623050 81001510 113402114 153246100 162003020 202503775 226804228 283505285 306492200 324006040 405007550 453608456 567010570 810015100 1134021140 1417526425 1620030200 2268042280 2835052850 5670105700 11340211400