Search a number
-
+
10020221010 = 2325317351217
BaseRepresentation
bin10010101010100000…
…00111000001010010
3221212022210222010200
421111100013001102
5131010134033020
64334144040030
7503211321222
oct112520070122
927768728120
1010020221010
114282176398
121b37903016
13c38c4a377
146b0b08082
153d9a54590
hex255407052

10020221010 has 48 divisors (see below), whose sum is σ = 26134833816. Its totient is φ = 2663622144.

The previous prime is 10020220981. The next prime is 10020221011. The reversal of 10020221010 is 1012202001.

It can be written as a sum of positive squares in 4 ways, for example, as 8365114521 + 1655106489 = 91461^2 + 40683^2 .

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 = 10020220983 and 10020221001.

It is not an unprimeable number, because it can be changed into a prime (10020221011) 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, 147079 + ... + 204138.

Almost surely, 210020221010 is an apocalyptic number.

10020221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020221010 is an abundant number, since it is smaller than the sum of its proper divisors (16114612806).

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

10020221010 is a wasteful number, since it uses less digits than its factorization.

10020221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351547 (or 351544 counting only the distinct ones).

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

Adding to 10020221010 its reverse (1012202001), we get a palindrome (11032423011).

The spelling of 10020221010 in words is "ten billion, twenty million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 317 634 951 1585 1902 2853 3170 4755 5706 9510 14265 28530 351217 702434 1053651 1756085 2107302 3160953 3512170 5268255 6321906 10536510 15804765 31609530 111335789 222671578 334007367 556678945 668014734 1002022101 1113357890 1670036835 2004044202 3340073670 5010110505 10020221010