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10203313230 = 2345116118773
BaseRepresentation
bin10011000000010101…
…00011010001001110
3222100002100000110000
421200022203101032
5131344022010410
64404244225130
7510563505615
oct114012432116
928302300400
1010203313230
114366560280
121b8909b1a6
13c67b64866
146cb16887c
153eab6ddc0
hex2602a344e

10203313230 has 160 divisors (see below), whose sum is σ = 30421990368. Its totient is φ = 2432851200.

The previous prime is 10203313213. The next prime is 10203313231. The reversal of 10203313230 is 3231330201.

10203313230 is a `hidden beast` number, since 10 + 2 + 0 + 331 + 323 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203313231) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 534124 + ... + 552896.

Almost surely, 210203313230 is an apocalyptic number.

10203313230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210995184).

10203313230 is an abundant number, since it is smaller than the sum of its proper divisors (20218677138).

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

10203313230 is a wasteful number, since it uses less digits than its factorization.

10203313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18864 (or 18855 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10203313230 its reverse (3231330201), we get a palindrome (13434643431).

The spelling of 10203313230 in words is "ten billion, two hundred three million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 81 90 99 110 122 135 162 165 183 198 270 297 305 330 366 405 495 549 594 610 671 810 891 915 990 1098 1342 1485 1647 1782 1830 2013 2745 2970 3294 3355 4026 4455 4941 5490 6039 6710 8235 8910 9882 10065 12078 16470 18117 18773 20130 24705 30195 36234 37546 49410 54351 56319 60390 90585 93865 108702 112638 168957 181170 187730 206503 271755 281595 337914 413006 506871 543510 563190 619509 844785 1013742 1032515 1145153 1239018 1520613 1689570 1858527 2065030 2290306 2534355 3041226 3097545 3435459 3717054 5068710 5575581 5725765 6195090 6870918 7603065 9292635 10306377 11151162 11451530 12596683 15206130 16726743 17177295 18585270 20612754 25193366 27877905 30919131 33453486 34354590 37790049 51531885 55755810 61838262 62983415 75580098 83633715 92757393 103063770 113370147 125966830 154595655 167267430 185514786 188950245 226740294 309191310 340110441 377900490 463786965 566850735 680220882 927573930 1020331323 1133701470 1700552205 2040662646 3401104410 5101656615 10203313230