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102120213 = 3132618467
BaseRepresentation
bin1100001011000…
…11101100010101
321010011020121010
412011203230111
5202120321323
614044442433
72350002366
oct605435425
9233136533
10102120213
115270a478
122a249419
1318206880
14d7c3b6d
158e72c93
hex6163b15

102120213 has 8 divisors (see below), whose sum is σ = 146634208. Its totient is φ = 62843184.

The previous prime is 102120203. The next prime is 102120301. The reversal of 102120213 is 312021201.

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

It is not a de Polignac number, because 102120213 - 24 = 102120197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120203) 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, 1309195 + ... + 1309272.

It is an arithmetic number, because the mean of its divisors is an integer number (18329276).

Almost surely, 2102120213 is an apocalyptic number.

102120213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102120213 is a deficient number, since it is larger than the sum of its proper divisors (44513995).

102120213 is a wasteful number, since it uses less digits than its factorization.

102120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618483.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102120213 is about 10105.4546161961. The cubic root of 102120213 is about 467.4163545814.

Adding to 102120213 its reverse (312021201), we get a palindrome (414141414).

The spelling of 102120213 in words is "one hundred two million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 13 39 2618467 7855401 34040071 102120213