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10221000102 = 2323737940493
BaseRepresentation
bin10011000010011100…
…00001010110100110
3222101022121121021100
421201032001112212
5131413034000402
64410115300530
7511200032055
oct114116012646
928338547240
1010221000102
114375540725
121b92baa746
13c6b718171
146cd65039c
153ec4b471c
hex2613815a6

10221000102 has 48 divisors (see below), whose sum is σ = 22804601040. Its totient is φ = 3306090816.

The previous prime is 10221000079. The next prime is 10221000109. The reversal of 10221000102 is 20100012201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221000109) 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, 232168 + ... + 272660.

It is an arithmetic number, because the mean of its divisors is an integer number (475095855).

Almost surely, 210221000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402300520).

10221000102 is an abundant number, since it is smaller than the sum of its proper divisors (12583600938).

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

10221000102 is a wasteful number, since it uses less digits than its factorization.

10221000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40917 (or 40914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10221000102 its reverse (20100012201), we get a palindrome (30321012303).

The spelling of 10221000102 in words is "ten billion, two hundred twenty-one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 333 379 666 758 1137 2274 3411 6822 14023 28046 40493 42069 80986 84138 121479 126207 242958 252414 364437 728874 1498241 2996482 4494723 8989446 13484169 15346847 26968338 30693694 46040541 92081082 138121623 276243246 567833339 1135666678 1703500017 3407000034 5110500051 10221000102