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10214334420 = 223511314910111
BaseRepresentation
bin10011000001101001…
…00101111111010100
3222100212001221200020
421200310211333110
5131404332200140
64405320345140
7511056260433
oct114064457724
928325057606
1010214334420
1143717a86a4
121b909151b0
13c6a223184
146cc7d711a
153ebae96d0
hex260d25fd4

10214334420 has 96 divisors (see below), whose sum is σ = 29049753600. Its totient is φ = 2681333760.

The previous prime is 10214334419. The next prime is 10214334421. The reversal of 10214334420 is 2443341201.

10214334420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10214334419) and next prime (10214334421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214334421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005165 + ... + 1015275.

It is an arithmetic number, because the mean of its divisors is an integer number (302601600).

Almost surely, 210214334420 is an apocalyptic number.

10214334420 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 10214334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524876800).

10214334420 is an abundant number, since it is smaller than the sum of its proper divisors (18835419180).

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

10214334420 is a wasteful number, since it uses less digits than its factorization.

10214334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10214334420 its reverse (2443341201), we get a palindrome (12657675621).

The spelling of 10214334420 in words is "ten billion, two hundred fourteen million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 149 226 298 339 447 452 565 596 678 745 894 1130 1356 1490 1695 1788 2235 2260 2980 3390 4470 6780 8940 10111 16837 20222 30333 33674 40444 50511 50555 60666 67348 84185 101022 101110 121332 151665 168370 202044 202220 252555 303330 336740 505110 606660 1010220 1142543 1506539 2285086 3013078 3427629 4519617 4570172 5712715 6026156 6855258 7532695 9039234 11425430 13710516 15065390 17138145 18078468 22598085 22850860 30130780 34276290 45196170 68552580 90392340 170238907 340477814 510716721 680955628 851194535 1021433442 1702389070 2042866884 2553583605 3404778140 5107167210 10214334420