Search a number
-
+
102021221000202 = 23722911965895027
BaseRepresentation
bin10111001100100110101010…
…101000110010010000001010
3111101020010121022012212220020
4113030212222220302100022
5101333003430034001302
61000551522451241310
730326534651155500
oct2714465250622012
9441203538185806
10102021221000202
112a563a58626559
12b5384905a9236
1344c073801cb6a
141b29bd3bc2670
15bbdc15800ebc
hex5cc9aaa3240a

102021221000202 has 48 divisors (see below), whose sum is σ = 245540165974560. Its totient is φ = 28143785101152.

The previous prime is 102021221000189. The next prime is 102021221000219. The reversal of 102021221000202 is 202000122120201.

102021221000202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5982938988 + ... + 5982956039.

It is an arithmetic number, because the mean of its divisors is an integer number (5115420124470).

Almost surely, 2102021221000202 is an apocalyptic number.

102021221000202 is an abundant number, since it is smaller than the sum of its proper divisors (143518944974358).

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

102021221000202 is a wasteful number, since it uses less digits than its factorization.

102021221000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965895075 (or 11965895068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102021221000202 its reverse (202000122120201), we get a palindrome (304021343120403).

The spelling of 102021221000202 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-one million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2842 4263 8526 11965895027 23931790054 35897685081 71795370162 83761265189 167522530378 251283795567 347010955783 502567591134 586328856323 694021911566 1041032867349 1172657712646 1758986568969 2082065734698 2429076690481 3517973137938 4858153380962 7287230071443 14574460142886 17003536833367 34007073666734 51010610500101 102021221000202