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14200202100 = 2235276762001
BaseRepresentation
bin11010011100110010…
…11110001101110100
31100122122012000020010
431032121132031310
5213040222431400
610305023340220
71011615504060
oct151631361564
940578160203
1014200202100
11602770a017
122903751670
131453c37166
14989d0caa0
155819cc450
hex34e65e374

14200202100 has 72 divisors (see below), whose sum is σ = 46955341888. Its totient is φ = 3245760000.

The previous prime is 14200202099. The next prime is 14200202101. The reversal of 14200202100 is 120200241.

It is an interprime number because it is at equal distance from previous prime (14200202099) and next prime (14200202101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200202101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3378901 + ... + 3383100.

Almost surely, 214200202100 is an apocalyptic number.

14200202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200202100 is an abundant number, since it is smaller than the sum of its proper divisors (32755139788).

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

14200202100 is a wasteful number, since it uses less digits than its factorization.

14200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762025 (or 6762018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14200202100 its reverse (120200241), we get a palindrome (14320402341).

The spelling of 14200202100 in words is "fourteen billion, two hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6762001 13524002 20286003 27048004 33810005 40572006 47334007 67620010 81144012 94668014 101430015 135240020 142002021 169050025 189336028 202860030 236670035 284004042 338100050 405720060 473340070 507150075 568008084 676200100 710010105 946680140 1014300150 1183350175 1420020210 2028600300 2366700350 2840040420 3550050525 4733400700 7100101050 14200202100