Search a number
-
+
102202222100 = 225211671386733
BaseRepresentation
bin101111100101110111…
…0100010011000010100
3100202210122111211001012
41133023232202120110
53133302232101400
6114541232151352
710245444361046
oct1371356423024
9322718454035
10102202222100
113a386543170
1217983398558
139839b3b644
144d37719a96
1529d2744d35
hex17cbba2614

102202222100 has 72 divisors (see below), whose sum is σ = 245551762848. Its totient is φ = 36609724800.

The previous prime is 102202222093. The next prime is 102202222151. The reversal of 102202222100 is 1222202201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619667 + ... + 767066.

Almost surely, 2102202222100 is an apocalyptic number.

102202222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202222100 is an abundant number, since it is smaller than the sum of its proper divisors (143349540748).

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

102202222100 is a wasteful number, since it uses less digits than its factorization.

102202222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386825 (or 1386818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202222100 its reverse (1222202201), we get a palindrome (103424424301).

It can be divided in two parts, 102 and 202222100, that added together give a palindrome (202222202).

The spelling of 102202222100 in words is "one hundred two billion, two hundred two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 1386733 2773466 5546932 6933665 13867330 15254063 27734660 30508126 34668325 61016252 69336650 76270315 92911111 138673300 152540630 185822222 305081260 371644444 381351575 464555555 762703150 929111110 1022022221 1525406300 1858222220 2044044442 2322777775 4088088884 4645555550 5110111105 9291111100 10220222210 20440444420 25550555525 51101111050 102202222100