Search a number
-
+
10221001020 = 2232556783339
BaseRepresentation
bin10011000010011100…
…00001100100111100
3222101022121122112100
421201032001210330
5131413034013040
64410115305100
7511200034536
oct114116014474
928338548470
1010221001020
11437554138a
121b92bab190
13c6b7186c9
146cd650856
153ec4b4b30
hex26138193c

10221001020 has 36 divisors (see below), whose sum is σ = 31003703640. Its totient is φ = 2725600224.

The previous prime is 10221000983. The next prime is 10221001051. The reversal of 10221001020 is 2010012201.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10221000993 and 10221001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28391490 + ... + 28391849.

It is an arithmetic number, because the mean of its divisors is an integer number (861213990).

Almost surely, 210221001020 is an apocalyptic number.

10221001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221001020 is an abundant number, since it is smaller than the sum of its proper divisors (20782702620).

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

10221001020 is a wasteful number, since it uses less digits than its factorization.

10221001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56783354 (or 56783349 counting only the distinct ones).

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

Adding to 10221001020 its reverse (2010012201), we get a palindrome (12231013221).

The spelling of 10221001020 in words is "ten billion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56783339 113566678 170350017 227133356 283916695 340700034 511050051 567833390 681400068 851750085 1022100102 1135666780 1703500170 2044200204 2555250255 3407000340 5110500510 10221001020