Search a number
-
+
102022011000210 = 23573161760733773
BaseRepresentation
bin10111001100100111011001…
…101110011001010110010010
3111101020012122100202001011210
4113030213121232121112102
5101333012034304001320
61000552133111520550
730326563353102510
oct2714473156312622
9441205570661153
10102022011000210
112a564323557224
12b538671089156
1344c08328b11a2
141b29c6aaa74b0
15bbdc5ed500e0
hex5cc9d9b99592

102022011000210 has 256 divisors, whose sum is σ = 293641310896128. Its totient is φ = 22193553484800.

The previous prime is 102022011000209. The next prime is 102022011000229. The reversal of 102022011000210 is 12000110220201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3020798884 + ... + 3020832656.

It is an arithmetic number, because the mean of its divisors is an integer number (1147036370688).

Almost surely, 2102022011000210 is an apocalyptic number.

102022011000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022011000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146820655448064).

102022011000210 is an abundant number, since it is smaller than the sum of its proper divisors (191619299895918).

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

102022011000210 is a wasteful number, since it uses less digits than its factorization.

102022011000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41489.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102022011000210 its reverse (12000110220201), we get a palindrome (114022121220411).

The spelling of 102022011000210 in words is "one hundred two trillion, twenty-two billion, eleven million, two hundred ten", and thus it is an aban number.