Search a number
-
+
10221101220 = 22351115486517
BaseRepresentation
bin10011000010011100…
…11010000010100100
3222101022210201222110
421201032122002210
5131413100214340
64410121401020
7511200632631
oct114116320244
928338721873
1010221101220
1143755aa6a0
121b93039170
13c6b7521b5
146cd679188
153ec4d4680
hex26139a0a4

10221101220 has 48 divisors (see below), whose sum is σ = 31220820288. Its totient is φ = 2477842560.

The previous prime is 10221101213. The next prime is 10221101237. The reversal of 10221101220 is 2210112201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221101196 and 10221101205.

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 15 ways as a sum of consecutive naturals, for example, 7742599 + ... + 7743918.

It is an arithmetic number, because the mean of its divisors is an integer number (650433756).

Almost surely, 210221101220 is an apocalyptic number.

10221101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221101220 is an abundant number, since it is smaller than the sum of its proper divisors (20999719068).

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

10221101220 is a wasteful number, since it uses less digits than its factorization.

10221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486540 (or 15486538 counting only the distinct ones).

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

Adding to 10221101220 its reverse (2210112201), we get a palindrome (12431213421).

The spelling of 10221101220 in words is "ten billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15486517 30973034 46459551 61946068 77432585 92919102 154865170 170351687 185838204 232297755 309730340 340703374 464595510 511055061 681406748 851758435 929191020 1022110122 1703516870 2044220244 2555275305 3407033740 5110550610 10221101220