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10301222204 = 22713131349619
BaseRepresentation
bin10011001100000000…
…00010110100111100
3222120220120022022022
421212000002310330
5132044103102304
64422102535312
7513162641540
oct114600026474
928526508268
1010301222204
114406853789
121bb5a37538
13c82225670
146da173a20
1540455debe
hex266002d3c

10301222204 has 96 divisors (see below), whose sum is σ = 22456896000. Its totient is φ = 4025998080.

The previous prime is 10301222179. The next prime is 10301222231. The reversal of 10301222204 is 40222210301.

It is a super-2 number, since 2×103012222042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16641407 + ... + 16642025.

It is an arithmetic number, because the mean of its divisors is an integer number (233926000).

Almost surely, 210301222204 is an apocalyptic number.

10301222204 is a gapful number since it is divisible by the number (14) 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 10301222204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228448000).

10301222204 is an abundant number, since it is smaller than the sum of its proper divisors (12155673796).

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

10301222204 is a wasteful number, since it uses less digits than its factorization.

10301222204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10301222204 its reverse (40222210301), we get a palindrome (50523432505).

The spelling of 10301222204 in words is "ten billion, three hundred one million, two hundred twenty-two thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 131 182 262 349 364 524 619 698 917 1238 1396 1703 1834 2443 2476 3406 3668 4333 4537 4886 6812 8047 8666 9074 9772 11921 16094 17332 18148 23842 31759 32188 45719 47684 56329 63518 81089 91438 112658 127036 162178 182876 216031 225316 320033 324356 432062 567623 594347 640066 864124 1054157 1135246 1188694 1280132 1512217 2108314 2270492 2377388 2808403 3024434 4160429 4216628 5616806 6048868 7379099 8320858 11233612 14758198 16641716 19658821 28300061 29516396 39317642 56600122 78635284 113200244 198100427 367900793 396200854 735801586 792401708 1471603172 2575305551 5150611102 10301222204