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10330120220 = 2257260117539
BaseRepresentation
bin10011001111011100…
…10010000000011100
3222122220221110221012
421213232102000130
5132124002321340
64425014154352
7513663400400
oct114756220034
928586843835
1010330120220
1144210a1242
1220036529b8
13c88202b94
146ddd37100
15406d6b565
hex267b9201c

10330120220 has 72 divisors (see below), whose sum is σ = 25278437520. Its totient is φ = 3535660800.

The previous prime is 10330120211. The next prime is 10330120223. The reversal of 10330120220 is 2202103301.

It is a happy number.

It is a super-2 number, since 2×103301202202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10330120195 and 10330120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330120223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580211 + ... + 597749.

It is an arithmetic number, because the mean of its divisors is an integer number (351089410).

Almost surely, 210330120220 is an apocalyptic number.

10330120220 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 10330120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639218760).

10330120220 is an abundant number, since it is smaller than the sum of its proper divisors (14948317300).

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

10330120220 is a wasteful number, since it uses less digits than its factorization.

10330120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18163 (or 18154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10330120220 its reverse (2202103301), we get a palindrome (12532223521).

The spelling of 10330120220 in words is "ten billion, three hundred thirty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 601 980 1202 2404 3005 4207 6010 8414 12020 16828 17539 21035 29449 35078 42070 58898 70156 84140 87695 117796 122773 147245 175390 245546 294490 350780 491092 588980 613865 859411 1227730 1718822 2455460 3437644 4297055 8594110 10540939 17188220 21081878 42163756 52704695 73786573 105409390 147573146 210818780 295146292 368932865 516506011 737865730 1033012022 1475731460 2066024044 2582530055 5165060110 10330120220