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214231020400 = 2452535577551
BaseRepresentation
bin1100011110000100101…
…0011111001101110000
3202110222010110102111001
43013201022133031300
512002221120123100
6242225534131344
721322562425255
oct3074112371560
9673863412431
10214231020400
118294490a491
1235629650b54
13172817568c7
14a52413342c
15588c9dcd6a
hex31e129f370

214231020400 has 30 divisors (see below), whose sum is σ = 514690027472. Its totient is φ = 85692408000.

The previous prime is 214231020361. The next prime is 214231020407. The reversal of 214231020400 is 4020132412.

214231020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214231020407) 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 5 ways as a sum of consecutive naturals, for example, 267788376 + ... + 267789175.

Almost surely, 2214231020400 is an apocalyptic number.

214231020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214231020400 is an abundant number, since it is smaller than the sum of its proper divisors (300459007072).

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

214231020400 is a wasteful number, since it uses less digits than its factorization.

214231020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535577569 (or 535577558 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 214231020400 its reverse (4020132412), we get a palindrome (218251152812).

The spelling of 214231020400 in words is "two hundred fourteen billion, two hundred thirty-one million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 535577551 1071155102 2142310204 2677887755 4284620408 5355775510 8569240816 10711551020 13389438775 21423102040 26778877550 42846204080 53557755100 107115510200 214231020400