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200414331201 = 37109373234733
BaseRepresentation
bin1011101010100110100…
…0000000000101000001
3201011022012220220001110
42322221220000011001
511240422032044301
6232022530353533
720323311464460
oct2725150000501
9634265826043
10200414331201
1177aa4735387
1232a1242b8a9
1315b8c10a876
1499b31369d7
15532ea190d6
hex2ea9a00141

200414331201 has 32 divisors (see below), whose sum is σ = 309022616320. Its totient is φ = 113167113984.

The previous prime is 200414331197. The next prime is 200414331241. The reversal of 200414331201 is 102133414002.

It is not a de Polignac number, because 200414331201 - 22 = 200414331197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200414331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736431 + ... + 971163.

It is an arithmetic number, because the mean of its divisors is an integer number (9656956760).

Almost surely, 2200414331201 is an apocalyptic number.

200414331201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200414331201 is a deficient number, since it is larger than the sum of its proper divisors (108608285119).

200414331201 is a wasteful number, since it uses less digits than its factorization.

200414331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235225.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 200414331201 its reverse (102133414002), we get a palindrome (302547745203).

The spelling of 200414331201 in words is "two hundred billion, four hundred fourteen million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 21 109 327 373 763 1119 2289 2611 7833 40657 121971 234733 284599 704199 853797 1643131 4929393 25585897 76757691 87555409 179101279 262666227 537303837 612887863 1838663589 9543539581 28630618743 66804777067 200414331201