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10220314390 = 25111343712341
BaseRepresentation
bin10011000010010110…
…11001111100010110
3222101021022202122121
421201023121330112
5131412400030030
64410052450154
7511161144646
oct114113317426
928337282577
1010220314390
114375112520
121b9291995a
13c6b538010
146cd512526
153ec3cb47a
hex2612d9f16

10220314390 has 128 divisors (see below), whose sum is σ = 22436434944. Its totient is φ = 3302208000.

The previous prime is 10220314361. The next prime is 10220314397. The reversal of 10220314390 is 9341302201.

10220314390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220314397) 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 63 ways as a sum of consecutive naturals, for example, 4364620 + ... + 4366960.

It is an arithmetic number, because the mean of its divisors is an integer number (175284648).

Almost surely, 210220314390 is an apocalyptic number.

10220314390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220314390 is an abundant number, since it is smaller than the sum of its proper divisors (12216120554).

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

10220314390 is a wasteful number, since it uses less digits than its factorization.

10220314390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10220314390 its reverse (9341302201), we get a palindrome (19561616591).

The spelling of 10220314390 in words is "ten billion, two hundred twenty million, three hundred fourteen thousand, three hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 43 55 65 71 86 110 130 142 143 215 286 355 430 473 559 710 715 781 923 946 1118 1430 1562 1846 2341 2365 2795 3053 3905 4615 4682 4730 5590 6106 6149 7810 9230 10153 11705 12298 15265 20306 23410 25751 30433 30530 30745 33583 39689 50765 51502 60866 61490 67166 79378 100663 101530 128755 152165 166211 167915 198445 201326 257510 304330 332422 334763 335830 396890 436579 503315 669526 831055 873158 1006630 1107293 1308619 1662110 1673815 1828321 2160743 2182895 2214586 2617238 3347630 3656642 4321486 4365790 5536465 6543095 7147073 9141605 10803715 11072930 13086190 14294146 14394809 18283210 21607430 23768173 28789618 35735365 47536346 71470730 71974045 78617803 92911949 118840865 143948090 157235606 185823898 237681730 393089015 464559745 786178030 929119490 1022031439 2044062878 5110157195 10220314390