Search a number
-
+
102101323221 = 32137796310399
BaseRepresentation
bin101111100010110110…
…1101000110111010101
3100202112121122121210200
41133011231220313111
53133100414320341
6114523225411113
710243110633162
oct1370555506725
9322477577720
10102101323221
113a334598367
1217955639a99
139821c71971
144d28173069
1529c8963db6
hex17c5b68dd5

102101323221 has 24 divisors (see below), whose sum is σ = 148589126400. Its totient is φ = 67555722816.

The previous prime is 102101323151. The next prime is 102101323237. The reversal of 102101323221 is 122323101201.

102101323221 is a `hidden beast` number, since 1 + 0 + 210 + 132 + 322 + 1 = 666.

It is not a de Polignac number, because 102101323221 - 215 = 102101290453 is a prime.

It is a super-2 number, since 2×1021013232212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101323194 and 102101323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101323271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9813180 + ... + 9823578.

It is an arithmetic number, because the mean of its divisors is an integer number (6191213600).

Almost surely, 2102101323221 is an apocalyptic number.

It is an amenable number.

102101323221 is a deficient number, since it is larger than the sum of its proper divisors (46487803179).

102101323221 is a wasteful number, since it uses less digits than its factorization.

102101323221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18505 (or 18502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102101323221 its reverse (122323101201), we get a palindrome (224424424422).

The spelling of 102101323221 in words is "one hundred two billion, one hundred one million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 137 411 1233 7963 10399 23889 31197 71667 93591 1090931 1424663 3272793 4273989 9818379 12821967 82807237 248421711 745265133 11344591469 34033774407 102101323221