Search a number
-
+
102122202 = 23713533529
BaseRepresentation
bin1100001011001…
…00001011011010
321010011100022210
412011210023122
5202120402302
614044455550
72350011240
oct605441332
9233140283
10102122202
1152710a16
122a24a5b6
1318207750
14d7c4790
158e7366c
hex61642da

102122202 has 64 divisors (see below), whose sum is σ = 256193280. Its totient is φ = 26417664.

The previous prime is 102122201. The next prime is 102122203. The reversal of 102122202 is 202221201.

It is an interprime number because it is at equal distance from previous prime (102122201) and next prime (102122203).

It is not an unprimeable number, because it can be changed into a prime (102122201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27174 + ... + 30702.

It is an arithmetic number, because the mean of its divisors is an integer number (4003020).

Almost surely, 2102122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128096640).

102122202 is an abundant number, since it is smaller than the sum of its proper divisors (154071078).

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

102122202 is a wasteful number, since it uses less digits than its factorization.

102122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102122202 is about 10105.5530279149. The cubic root of 102122202 is about 467.4193891915.

Adding to 102122202 its reverse (202221201), we get a palindrome (304343403).

It can be divided in two parts, 10 and 2122202, that added together give a palindrome (2122212).

The spelling of 102122202 in words is "one hundred two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 3529 4134 4823 7058 9646 10587 14469 21174 24703 28938 45877 49406 74109 91754 137631 148218 187037 275262 321139 374074 561111 642278 963417 1122222 1309259 1926834 2431481 2618518 3927777 4862962 7294443 7855554 14588886 17020367 34040734 51061101 102122202