Search a number
-
+
21011221022088 = 23311215731459937
BaseRepresentation
bin1001100011100000011100…
…10111011000010110001000
32202101122122010012220200110
410301300032113120112020
510223221440040201323
6112404231030034320
74266003433625013
oct461601627302610
982348563186613
1021011221022088
116770899561a00
1224341474a89a0
13b954712118cb
14528d3ca6a37a
1526683b799793
hex131c0e5d8588

21011221022088 has 96 divisors (see below), whose sum is σ = 57741242035680. Its totient is φ = 6366618086400.

The previous prime is 21011221022087. The next prime is 21011221022089. The reversal of 21011221022088 is 88022012211012.

It is an interprime number because it is at equal distance from previous prime (21011221022087) and next prime (21011221022089).

It is not an unprimeable number, because it can be changed into a prime (21011221022087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45452856 + ... + 45912792.

It is an arithmetic number, because the mean of its divisors is an integer number (601471271205).

Almost surely, 221011221022088 is an apocalyptic number.

It is an amenable number.

21011221022088 is an abundant number, since it is smaller than the sum of its proper divisors (36730021013592).

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

21011221022088 is a wasteful number, since it uses less digits than its factorization.

21011221022088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475699 (or 475684 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 21011221022088 in words is "twenty-one trillion, eleven billion, two hundred twenty-one million, twenty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 15731 31462 47193 62924 94386 125848 173041 188772 346082 377544 459937 519123 692164 919874 1038246 1379811 1384328 1839748 1903451 2076492 2759622 3679496 3806902 4152984 5059307 5519244 5710353 7613804 10118614 11038488 11420706 15177921 15227608 20237228 22841412 30355842 40474456 45682824 55652377 60711684 111304754 121423368 166957131 222609508 333914262 445219016 667828524 1335657048 7235268947 14470537894 21705806841 28941075788 43411613682 57882151576 79587958417 86823227364 159175916834 173646454728 238763875251 318351833668 477527750502 636703667336 875467542587 955055501004 1750935085174 1910111002008 2626402627761 3501870170348 5252805255522 7003740340696 10505610511044 21011221022088