Search a number
-
+
102021210200 = 2352713341809
BaseRepresentation
bin101111100000011110…
…0000010000001011000
3100202100000220110101202
41133000330002001120
53132414412211300
6114511244333332
710241115656420
oct1370074020130
9322300813352
10102021210200
113a2a334a258
1217932844248
13980b4a2000
144d1b67b480
1529c18dbad5
hex17c0f02058

102021210200 has 384 divisors, whose sum is σ = 301199472000. Its totient is φ = 31461580800.

The previous prime is 102021210139. The next prime is 102021210223. The reversal of 102021210200 is 2012120201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126107396 + ... + 126108204.

It is an arithmetic number, because the mean of its divisors is an integer number (784373625).

Almost surely, 2102021210200 is an apocalyptic number.

102021210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150599736000).

102021210200 is an abundant number, since it is smaller than the sum of its proper divisors (199178261800).

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

102021210200 is a wasteful number, since it uses less digits than its factorization.

102021210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102021210200 its reverse (2012120201), we get a palindrome (104033330401).

The spelling of 102021210200 in words is "one hundred two billion, twenty-one million, two hundred ten thousand, two hundred".