Search a number
-
+
10021110220 = 22511312276473
BaseRepresentation
bin10010101010100111…
…00000000111001100
3221212101111010220101
421111103200013030
5131010401011340
64334215100444
7503222013532
oct112523400714
927771433811
1010021110220
114282723480
121b38071724
13c3919c024
146b0c9a152
153d9b7cc9a
hex2554e01cc

10021110220 has 96 divisors (see below), whose sum is σ = 23806089216. Its totient is φ = 3510412800.

The previous prime is 10021110193. The next prime is 10021110221. The reversal of 10021110220 is 2201112001.

It is a super-3 number, since 3×100211102203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10021110197 and 10021110206.

It is not an unprimeable number, because it can be changed into a prime (10021110221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544904 + ... + 1551376.

It is an arithmetic number, because the mean of its divisors is an integer number (247980096).

Almost surely, 210021110220 is an apocalyptic number.

10021110220 is a gapful number since it is divisible by the number (10) 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 10021110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903044608).

10021110220 is an abundant number, since it is smaller than the sum of its proper divisors (13784978996).

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

10021110220 is a wasteful number, since it uses less digits than its factorization.

10021110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021110220 its reverse (2201112001), we get a palindrome (12222222221).

The spelling of 10021110220 in words is "ten billion, twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 227 310 341 454 620 682 908 1135 1364 1705 2270 2497 3410 4540 4994 6473 6820 7037 9988 12485 12946 14074 24970 25892 28148 32365 35185 49940 64730 70370 71203 77407 129460 140740 142406 154814 200663 284812 309628 356015 387035 401326 712030 774070 802652 1003315 1424060 1469371 1548140 2006630 2207293 2938742 4013260 4414586 5877484 7346855 8829172 11036465 14693710 16163081 22072930 29387420 32326162 44145860 45550501 64652324 80815405 91101002 161630810 182202004 227752505 323261620 455505010 501055511 911010020 1002111022 2004222044 2505277555 5010555110 10021110220