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10201032330 = 23543137197293
BaseRepresentation
bin10011000000000011…
…10110011010001010
3222022221001010122020
421200001312122022
5131342431013310
64404123305310
7510535226016
oct114001663212
928287033566
1010201032330
114365242635
121b8837b236
13c67546608
146cab33546
153ea86d170
hex26007668a

10201032330 has 128 divisors (see below), whose sum is σ = 25449355008. Its totient is φ = 2615273472.

The previous prime is 10201032319. The next prime is 10201032353. The reversal of 10201032330 is 3323010201.

It is a super-2 number, since 2×102010323302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 34815664 + ... + 34815956.

It is an arithmetic number, because the mean of its divisors is an integer number (198823086).

Almost surely, 210201032330 is an apocalyptic number.

10201032330 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 10201032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724677504).

10201032330 is an abundant number, since it is smaller than the sum of its proper divisors (15248322678).

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

10201032330 is a wasteful number, since it uses less digits than its factorization.

10201032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10201032330 its reverse (3323010201), we get a palindrome (13524042531).

The spelling of 10201032330 in words is "ten billion, two hundred one million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 137 197 215 258 274 293 394 411 430 586 591 645 685 822 879 985 1182 1290 1370 1465 1758 1970 2055 2930 2955 4110 4395 5891 5910 8471 8790 11782 12599 16942 17673 25198 25413 26989 29455 35346 37797 40141 42355 50826 53978 57721 58910 62995 75594 80282 80967 84710 88365 115442 120423 125990 127065 134945 161934 173163 176730 188985 200705 240846 254130 269890 288605 346326 377970 401410 404835 577210 602115 809670 865815 1160527 1204230 1726063 1731630 2321054 2482003 3452126 3481581 4964006 5178189 5802635 6963162 7446009 7907777 8630315 10356378 11605270 12410015 14892018 15815554 17260630 17407905 23723331 24820030 25890945 34815810 37230045 39538885 47446662 51781890 74460090 79077770 118616655 237233310 340034411 680068822 1020103233 1700172055 2040206466 3400344110 5100516165 10201032330