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1011221010 = 23452943049
BaseRepresentation
bin111100010001100…
…000001000010010
32121110210100110000
4330101200020102
54032333033020
6244201550430
734026144132
oct7421401022
92543710400
101011221010
11479898348
122427a5416
13131668737
149842cac2
155db9b090
hex3c460212

1011221010 has 80 divisors (see below), whose sum is σ = 2812887000. Its totient is φ = 260354304.

The previous prime is 1011220997. The next prime is 1011221011. The reversal of 1011221010 is 101221101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 965779929 + 45441081 = 31077^2 + 6741^2 .

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 = 1011220983 and 1011221001.

It is not an unprimeable number, because it can be changed into a prime (1011221011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1966 + ... + 45014.

Almost surely, 21011221010 is an apocalyptic number.

1011221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406443500).

1011221010 is an abundant number, since it is smaller than the sum of its proper divisors (1801665990).

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

1011221010 is a wasteful number, since it uses less digits than its factorization.

1011221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43097 (or 43088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011221010 is about 31799.7014136926. The cubic root of 1011221010 is about 1003.7264331141.

Adding to 1011221010 its reverse (101221101), we get a palindrome (1112442111).

Subtracting from 1011221010 its reverse (101221101), we obtain a palindrome (909999909).

The spelling of 1011221010 in words is "one billion, eleven million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 43049 86098 129147 215245 258294 387441 430490 645735 774882 1162323 1248421 1291470 1937205 2324646 2496842 3486969 3745263 3874410 5811615 6242105 6973938 7490526 11235789 11623230 12484210 17434845 18726315 22471578 33707367 34869690 37452630 56178945 67414734 101122101 112357890 168536835 202244202 337073670 505610505 1011221010