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102213417 = 3311736353
BaseRepresentation
bin1100001011110…
…10011100101001
321010022222110010
412011322130221
5202131312132
614050442133
72350541205
oct605723451
9233288403
10102213417
11527734a9
122a293349
131823a117
14d809b05
158e906cc
hex617a729

102213417 has 16 divisors (see below), whose sum is σ = 141516288. Its totient is φ = 65552640.

The previous prime is 102213413. The next prime is 102213443. The reversal of 102213417 is 714312201.

It is not a de Polignac number, because 102213417 - 22 = 102213413 is a prime.

It is a super-2 number, since 2×1022134172 = 20895165229631778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102213393 and 102213402.

It is not an unprimeable number, because it can be changed into a prime (102213413) 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, 12913 + ... + 19265.

It is an arithmetic number, because the mean of its divisors is an integer number (8844768).

Almost surely, 2102213417 is an apocalyptic number.

It is an amenable number.

102213417 is a deficient number, since it is larger than the sum of its proper divisors (39302871).

102213417 is a wasteful number, since it uses less digits than its factorization.

102213417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 102213417 is about 10110.0651333213. The cubic root of 102213417 is about 467.5585132705.

Adding to 102213417 its reverse (714312201), we get a palindrome (816525618).

The spelling of 102213417 in words is "one hundred two million, two hundred thirteen thousand, four hundred seventeen".

Divisors: 1 3 31 93 173 519 5363 6353 16089 19059 196943 590829 1099069 3297207 34071139 102213417