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20211100032 = 27373977433
BaseRepresentation
bin10010110100101011…
…001110100110000000
31221011112202021001110
4102310223032212000
5312343020200112
613141310003320
71313564341614
oct226453164600
957145667043
1020211100032
118631703662
123b007a6540
131ba134a3b6
14d9a357344
157d456913c
hex4b4ace980

20211100032 has 128 divisors (see below), whose sum is σ = 54989595360. Its totient is φ = 6575357952.

The previous prime is 20211100009. The next prime is 20211100057. The reversal of 20211100032 is 23000111202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20211099990 and 20211100017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715388 + ... + 2722820.

Almost surely, 220211100032 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 20211100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27494797680).

20211100032 is an abundant number, since it is smaller than the sum of its proper divisors (34778495328).

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

20211100032 is an equidigital number, since it uses as much as digits as its factorization.

20211100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20211100032 its reverse (23000111202), we get a palindrome (43211211234).

The spelling of 20211100032 in words is "twenty billion, two hundred eleven million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 97 128 146 192 194 219 291 292 384 388 438 582 584 776 876 1164 1168 1552 1752 2328 2336 3104 3504 4656 4672 6208 7008 7081 7433 9312 9344 12416 14016 14162 14866 18624 21243 22299 28032 28324 29732 37248 42486 44598 56648 59464 84972 89196 113296 118928 169944 178392 226592 237856 339888 356784 453184 475712 542609 679776 713568 721001 906368 951424 1085218 1359552 1427136 1442002 1627827 2163003 2170436 2719104 2854272 2884004 3255654 4326006 4340872 5768008 6511308 8652012 8681744 11536016 13022616 17304024 17363488 23072032 26045232 34608048 34726976 46144064 52090464 52633073 69216096 69453952 92288128 104180928 105266146 138432192 157899219 208361856 210532292 276864384 315798438 421064584 631596876 842129168 1263193752 1684258336 2526387504 3368516672 5052775008 6737033344 10105550016 20211100032