Search a number
-
+
21010444422032 = 24134114471702627
BaseRepresentation
bin1001100011011111000000…
…00100111000101110010000
32202101120121222220112200102
410301233200010320232100
510223213342233001112
6112404022004511532
74265645253630632
oct461574004705620
982346558815612
1021010444422032
11677053015387a
122433b6b3ab5a8
13b95379362850
14528ca7872a52
152667e34e5bc2
hex131be0138b90

21010444422032 has 80 divisors (see below), whose sum is σ = 44939408610432. Its totient is φ = 9454069232640.

The previous prime is 21010444421977. The next prime is 21010444422059. The reversal of 21010444422032 is 23022444401012.

It is a happy number.

It is a super-2 number, since 2×210104444220322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21010444421986 and 21010444422004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11488703 + ... + 13191329.

Almost surely, 221010444422032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010444422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469704305216).

21010444422032 is an abundant number, since it is smaller than the sum of its proper divisors (23928964188400).

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

21010444422032 is a wasteful number, since it uses less digits than its factorization.

21010444422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704136 (or 1704130 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 21010444422032 its reverse (23022444401012), we get a palindrome (44032888823044).

The spelling of 21010444422032 in words is "twenty-one trillion, ten billion, four hundred forty-four million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 1447 2132 2894 4264 5788 8528 11576 18811 23152 37622 59327 75244 118654 150488 237308 300976 474616 771251 949232 1542502 1702627 3085004 3405254 6170008 6810508 12340016 13621016 22134151 27242032 44268302 69807707 88536604 139615414 177073208 279230828 354146416 558461656 907500191 1116923312 1815000382 2463701269 3630000764 4927402538 7260001528 9854805076 14520003056 19709610152 32028116497 39419220304 64056232994 101011752029 128112465988 202023504058 256224931976 404047008116 512449863952 808094016232 1313152776377 1616188032464 2626305552754 5252611105508 10505222211016 21010444422032