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102213213 = 373563829
BaseRepresentation
bin1100001011110…
…10011001011101
321010022222011120
412011322121131
5202131310323
614050441153
72350540464
oct605723135
9233288146
10102213213
1152773333
122a2931b9
1318239cbb
14d8099db
158e905e3
hex617a65d

102213213 has 16 divisors (see below), whose sum is σ = 138563520. Its totient is φ = 67008384.

The previous prime is 102213191. The next prime is 102213227. The reversal of 102213213 is 312312201.

It is a de Polignac number, because none of the positive numbers 2k-102213213 is a prime.

It is a super-4 number, since 4×1022132134 (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102213192 and 102213201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213263) 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, 122883 + ... + 123711.

It is an arithmetic number, because the mean of its divisors is an integer number (8660220).

Almost surely, 2102213213 is an apocalyptic number.

It is an amenable number.

102213213 is a deficient number, since it is larger than the sum of its proper divisors (36350307).

102213213 is an equidigital number, since it uses as much as digits as its factorization.

102213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102213213 is about 10110.0550443605. The cubic root of 102213213 is about 467.5582022154.

Adding to 102213213 its reverse (312312201), we get a palindrome (414525414).

The spelling of 102213213 in words is "one hundred two million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 73 219 563 829 1689 2487 41099 60517 123297 181551 466727 1400181 34071071 102213213