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106121213 = 1119507757
BaseRepresentation
bin1100101001101…
…00011111111101
321101200111221022
412110310133331
5204131334323
614310313525
72426005202
oct624643775
9241614838
10106121213
11549a2490
122b6588a5
1318ca7a23
1410145ca9
1594b34c8
hex65347fd

106121213 has 8 divisors (see below), whose sum is σ = 121861920. Its totient is φ = 91396080.

The previous prime is 106121207. The next prime is 106121219. The reversal of 106121213 is 312121601.

It is an interprime number because it is at equal distance from previous prime (106121207) and next prime (106121219).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106121213 - 28 = 106120957 is a prime.

It is a super-2 number, since 2×1061212132 = 22523423697182738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106121191 and 106121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106121219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253670 + ... + 254087.

It is an arithmetic number, because the mean of its divisors is an integer number (15232740).

Almost surely, 2106121213 is an apocalyptic number.

It is an amenable number.

106121213 is a deficient number, since it is larger than the sum of its proper divisors (15740707).

106121213 is a wasteful number, since it uses less digits than its factorization.

106121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507787.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 106121213 is about 10301.5150827439. The cubic root of 106121213 is about 473.4426752069.

Adding to 106121213 its reverse (312121601), we get a palindrome (418242814).

The spelling of 106121213 in words is "one hundred six million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 11 19 209 507757 5585327 9647383 106121213