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20021121024 = 21238918307
BaseRepresentation
bin10010101001010110…
…100001000000000000
31220200022021022211220
4102221112201000000
5312000401333044
613110402035040
71306066502142
oct225126410000
956608238756
1020021121024
118544445613
123a69048a80
131b70b91398
14d7d022c92
157c2a3e019
hex4a95a1000

20021121024 has 104 divisors (see below), whose sum is σ = 53985898080. Its totient is φ = 6598361088.

The previous prime is 20021121019. The next prime is 20021121037. The reversal of 20021121024 is 42012112002.

It is a junction number, because it is equal to n+sod(n) for n = 20021120994 and 20021121012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084479 + ... + 1102785.

Almost surely, 220021121024 is an apocalyptic number.

20021121024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26992949040).

20021121024 is an abundant number, since it is smaller than the sum of its proper divisors (33964777056).

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

20021121024 is an equidigital number, since it uses as much as digits as its factorization.

20021121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18423 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20021121024 its reverse (42012112002), we get a palindrome (62033233026).

The spelling of 20021121024 in words is "twenty billion, twenty-one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2048 2136 2848 3072 4096 4272 5696 6144 8544 11392 12288 17088 18307 22784 34176 36614 45568 54921 68352 73228 91136 109842 136704 146456 182272 219684 273408 292912 364544 439368 546816 585824 878736 1093632 1171648 1629323 1757472 2343296 3258646 3514944 4686592 4887969 6517292 7029888 9373184 9775938 13034584 14059776 18746368 19551876 26069168 28119552 37492736 39103752 52138336 56239104 74985472 78207504 104276672 112478208 156415008 208553344 224956416 312830016 417106688 625660032 834213376 1251320064 1668426752 2502640128 3336853504 5005280256 6673707008 10010560512 20021121024