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214312311104 = 2616692006369
BaseRepresentation
bin1100011110011000000…
…0100101100101000000
3202111011210102102100212
43013212000211211000
512002402422423404
6242242000333252
721324600405353
oct3074600454500
9674153372325
10214312311104
1182986792391
1235650914228
1317295549608
14a530c5429a
155894be906e
hex31e6025940

214312311104 has 28 divisors (see below), whose sum is σ = 425531013300. Its totient is φ = 107091898368.

The previous prime is 214312311079. The next prime is 214312311107. The reversal of 214312311104 is 401113213412.

It can be written as a sum of positive squares in 2 ways, for example, as 36100000000 + 178212311104 = 190000^2 + 422152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214312311104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214312311107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 896369 + ... + 1110000.

Almost surely, 2214312311104 is an apocalyptic number.

It is an amenable number.

214312311104 is a deficient number, since it is larger than the sum of its proper divisors (211218702196).

214312311104 is a wasteful number, since it uses less digits than its factorization.

214312311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008050 (or 2008040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 214312311104 its reverse (401113213412), we get a palindrome (615425524516).

The spelling of 214312311104 in words is "two hundred fourteen billion, three hundred twelve million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 1669 3338 6676 13352 26704 53408 106816 2006369 4012738 8025476 16050952 32101904 64203808 128407616 3348629861 6697259722 13394519444 26789038888 53578077776 107156155552 214312311104