Search a number
-
+
102213414 = 2341016247
BaseRepresentation
bin1100001011110…
…10011100100110
321010022222110000
412011322130212
5202131312124
614050442130
72350541202
oct605723446
9233288400
10102213414
11527734a6
122a293346
131823a114
14d809b02
158e906c9
hex617a726

102213414 has 40 divisors (see below), whose sum is σ = 231338448. Its totient is φ = 33728400.

The previous prime is 102213413. The next prime is 102213443. The reversal of 102213414 is 414312201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 13239 + ... + 19485.

Almost surely, 2102213414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115669224).

102213414 is an abundant number, since it is smaller than the sum of its proper divisors (129125034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213414 is a wasteful number, since it uses less digits than its factorization.

102213414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102213414 is about 10110.0649849543. The cubic root of 102213414 is about 467.5585086961.

Adding to 102213414 its reverse (414312201), we get a palindrome (516525615).

The spelling of 102213414 in words is "one hundred two million, two hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 6247 8181 12494 16362 18741 37482 56223 112446 168669 337338 506007 630947 1012014 1261894 1892841 3785682 5678523 11357046 17035569 34071138 51106707 102213414