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213126132 = 22317760511
BaseRepresentation
bin11001011010000…
…00101111110100
3112212000221002110
430231000233310
5414030014012
633052011020
75165353662
oct1455005764
9485027073
10213126132
11aa3388aa
125b460a70
1335201a4b
142043bc32
1513a9d73c
hexcb40bf4

213126132 has 12 divisors (see below), whose sum is σ = 497294336. Its totient is φ = 71042040.

The previous prime is 213126107. The next prime is 213126143. The reversal of 213126132 is 231621312.

213126132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 213126099 and 213126108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8880244 + ... + 8880267.

Almost surely, 2213126132 is an apocalyptic number.

It is an amenable number.

213126132 is an abundant number, since it is smaller than the sum of its proper divisors (284168204).

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

213126132 is a wasteful number, since it uses less digits than its factorization.

213126132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760518 (or 17760516 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 213126132 is about 14598.8400909113. The cubic root of 213126132 is about 597.3271216614.

Adding to 213126132 its reverse (231621312), we get a palindrome (444747444).

The spelling of 213126132 in words is "two hundred thirteen million, one hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17760511 35521022 53281533 71042044 106563066 213126132