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10211114220 = 22353710634327
BaseRepresentation
bin10011000001010000…
…10011110011101100
3222100122000100101120
421200220103303230
5131403021123340
64405123340540
7511020016206
oct114050236354
928318010346
1010211114220
11436a9a927a
121b8b821750
13c69666528
146cc1d9776
153eb6b04d0
hex260a13cec

10211114220 has 96 divisors (see below), whose sum is σ = 29398268928. Its totient is φ = 2646266112.

The previous prime is 10211114191. The next prime is 10211114227. The reversal of 10211114220 is 2241111201.

It is a super-2 number, since 2×102111142202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211114220.

It is not an unprimeable number, because it can be changed into a prime (10211114227) 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, 2357697 + ... + 2362023.

It is an arithmetic number, because the mean of its divisors is an integer number (306231968).

Almost surely, 210211114220 is an apocalyptic number.

10211114220 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 10211114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699134464).

10211114220 is an abundant number, since it is smaller than the sum of its proper divisors (19187154708).

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

10211114220 is a wasteful number, since it uses less digits than its factorization.

10211114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211114220 its reverse (2241111201), we get a palindrome (12452225421).

The spelling of 10211114220 in words is "ten billion, two hundred eleven million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1063 1110 2126 2220 3189 4252 4327 5315 6378 8654 10630 12756 12981 15945 17308 21260 21635 25962 31890 39331 43270 51924 63780 64905 78662 86540 117993 129810 157324 160099 196655 235986 259620 320198 393310 471972 480297 589965 640396 786620 800495 960594 1179930 1600990 1921188 2359860 2401485 3201980 4599601 4802970 9199202 9605940 13798803 18398404 22998005 27597606 45996010 55195212 68994015 91992020 137988030 170185237 275976060 340370474 510555711 680740948 850926185 1021111422 1701852370 2042222844 2552778555 3403704740 5105557110 10211114220