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101214213 = 31132931019
BaseRepresentation
bin1100000100001…
…10100000000101
321001110012210120
412002012200011
5201402323323
614013212153
72336210112
oct602064005
9231405716
10101214213
1152150811
1229a91059
1317c7a389
14d629909
158d445e3
hex6086805

101214213 has 16 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 66585344.

The previous prime is 101214193. The next prime is 101214227. The reversal of 101214213 is 312412101.

It is a cyclic number.

It is not a de Polignac number, because 101214213 - 25 = 101214181 is a prime.

It is a super-5 number, since 5×1012142135 (a number of 41 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101214192 and 101214201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214313) 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, 98818 + ... + 99836.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2101214213 is an apocalyptic number.

It is an amenable number.

101214213 is a deficient number, since it is larger than the sum of its proper divisors (35531067).

101214213 is a wasteful number, since it uses less digits than its factorization.

101214213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101214213 is about 10060.5274712611. The cubic root of 101214213 is about 466.0299565680.

Adding to 101214213 its reverse (312412101), we get a palindrome (413626314).

It can be divided in two parts, 1012 and 14213, that added together give a triangular number (15225 = T174).

The spelling of 101214213 in words is "one hundred one million, two hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 113 293 339 879 1019 3057 33109 99327 115147 298567 345441 895701 33738071 101214213