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13214100200 = 2352759159977
BaseRepresentation
bin11000100111001111…
…10010101011101000
31021002220122211201112
430103213302223220
5204030302201300
610023120005452
7645312666320
oct142347625350
937086584645
1013214100200
115671019074
122689460888
131327854c02
148d4d7c280
15525143e35
hex3139f2ae8

13214100200 has 96 divisors (see below), whose sum is σ = 35707089600. Its totient is φ = 4453731840.

The previous prime is 13214100197. The next prime is 13214100253. The reversal of 13214100200 is 200141231.

It is a super-2 number, since 2×132141002002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2612 + ... + 162588.

It is an arithmetic number, because the mean of its divisors is an integer number (371948850).

Almost surely, 213214100200 is an apocalyptic number.

13214100200 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 13214100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853544800).

13214100200 is an abundant number, since it is smaller than the sum of its proper divisors (22492989400).

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

13214100200 is a wasteful number, since it uses less digits than its factorization.

13214100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160059 (or 160050 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13214100200 its reverse (200141231), we get a palindrome (13414241431).

The spelling of 13214100200 in words is "thirteen billion, two hundred fourteen million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 140 175 200 236 280 295 350 413 472 590 700 826 1180 1400 1475 1652 2065 2360 2950 3304 4130 5900 8260 10325 11800 16520 20650 41300 82600 159977 319954 639908 799885 1119839 1279816 1599770 2239678 3199540 3999425 4479356 5599195 6399080 7998850 8958712 9438643 11198390 15997700 18877286 22396780 27995975 31995400 37754572 44793560 47193215 55991950 66070501 75509144 94386430 111983900 132141002 188772860 223967800 235966075 264282004 330352505 377545720 471932150 528564008 660705010 943864300 1321410020 1651762525 1887728600 2642820040 3303525050 6607050100 13214100200