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102221010 = 23253730697
BaseRepresentation
bin1100001011111…
…00010011010010
321010100100212100
412011330103102
5202132033020
614050541230
72350602303
oct605742322
9233310770
10102221010
1152779181
122a297816
1318240708
14d80c7aa
158e92a90
hex617c4d2

102221010 has 48 divisors (see below), whose sum is σ = 272966616. Its totient is φ = 26521344.

The previous prime is 102220997. The next prime is 102221071. The reversal of 102221010 is 10122201.

It can be written as a sum of positive squares in 4 ways, for example, as 80514729 + 21706281 = 8973^2 + 4659^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102220983 and 102221001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12019 + ... + 18678.

Almost surely, 2102221010 is an apocalyptic number.

102221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102221010 is an abundant number, since it is smaller than the sum of its proper divisors (170745606).

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

102221010 is a wasteful number, since it uses less digits than its factorization.

102221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30747 (or 30744 counting only the distinct ones).

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

The square root of 102221010 is about 10110.4406432163. The cubic root of 102221010 is about 467.5700906282.

Adding to 102221010 its reverse (10122201), we get a palindrome (112343211).

The spelling of 102221010 in words is "one hundred two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30697 61394 92091 153485 184182 276273 306970 460455 552546 920910 1135789 1381365 2271578 2762730 3407367 5678945 6814734 10222101 11357890 17036835 20444202 34073670 51110505 102221010