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213127420 = 22511968761
BaseRepresentation
bin11001011010000…
…01000011111100
3112212000222212011
430231001003330
5414030034140
633052021004
75165360512
oct1455010374
9485028764
10213127420
11aa339870
125b461764
13352024cc
142043c4b2
1513a9dcea
hexcb410fc

213127420 has 24 divisors (see below), whose sum is σ = 488256048. Its totient is φ = 77500800.

The previous prime is 213127417. The next prime is 213127423. The reversal of 213127420 is 24721312.

It is an interprime number because it is at equal distance from previous prime (213127417) and next prime (213127423).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213127391 and 213127400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213127423) 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 7 ways as a sum of consecutive naturals, for example, 484161 + ... + 484600.

It is an arithmetic number, because the mean of its divisors is an integer number (20344002).

Almost surely, 2213127420 is an apocalyptic number.

213127420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213127420 is an abundant number, since it is smaller than the sum of its proper divisors (275128628).

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

213127420 is a wasteful number, since it uses less digits than its factorization.

213127420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968781 (or 968779 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 213127420 is about 14598.8842039383. The cubic root of 213127420 is about 597.3283249485.

Adding to 213127420 its reverse (24721312), we get a palindrome (237848732).

The spelling of 213127420 in words is "two hundred thirteen million, one hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 968761 1937522 3875044 4843805 9687610 10656371 19375220 21312742 42625484 53281855 106563710 213127420