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101132213 = 7138912487
BaseRepresentation
bin1100000011100…
…10011110110101
321001022001022112
412001302132311
5201342212323
614011340405
72335416050
oct601623665
9231261275
10101132213
11520a5146
1229a51705
1317c4bc60
14d607a97
158d2a178
hex60727b5

101132213 has 16 divisors (see below), whose sum is σ = 125879040. Its totient is φ = 79111296.

The previous prime is 101132191. The next prime is 101132233. The reversal of 101132213 is 312231101.

It is a cyclic number.

It is not a de Polignac number, because 101132213 - 26 = 101132149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1856 + ... + 14342.

It is an arithmetic number, because the mean of its divisors is an integer number (7867440).

Almost surely, 2101132213 is an apocalyptic number.

101132213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101132213 is a deficient number, since it is larger than the sum of its proper divisors (24746827).

101132213 is a wasteful number, since it uses less digits than its factorization.

101132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101132213 is about 10056.4513124660. The cubic root of 101132213 is about 465.9040691722.

Adding to 101132213 its reverse (312231101), we get a palindrome (413363314).

The spelling of 101132213 in words is "one hundred one million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 7 13 89 91 623 1157 8099 12487 87409 162331 1111343 1136317 7779401 14447459 101132213