Search a number
-
+
10201321020 = 22351133294643
BaseRepresentation
bin10011000000000101…
…11100111000111100
3222022221120210122110
421200002330320330
5131343014233040
64404133414020
7510540540462
oct114002747074
928287523573
1010201321020
11436541a520
121b8849a310
13c67617b37
146cabaa832
153ea8c8980
hex2600bce3c

10201321020 has 96 divisors (see below), whose sum is σ = 31176472320. Its totient is φ = 2471772160.

The previous prime is 10201321003. The next prime is 10201321033. The reversal of 10201321020 is 2012310201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201320987 and 10201321005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194819 + ... + 2199461.

It is an arithmetic number, because the mean of its divisors is an integer number (324754920).

Almost surely, 210201321020 is an apocalyptic number.

10201321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201321020 is an abundant number, since it is smaller than the sum of its proper divisors (20975151300).

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

10201321020 is a wasteful number, since it uses less digits than its factorization.

10201321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201321020 its reverse (2012310201), we get a palindrome (12213631221).

The spelling of 10201321020 in words is "ten billion, two hundred one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3329 4643 6658 9286 9987 13316 13929 16645 18572 19974 23215 27858 33290 36619 39948 46430 49935 51073 55716 66580 69645 73238 92860 99870 102146 109857 139290 146476 153219 183095 199740 204292 219714 255365 278580 306438 366190 439428 510730 549285 612876 732380 766095 1021460 1098570 1532190 2197140 3064380 15456547 30913094 46369641 61826188 77282735 92739282 154565470 170022017 185478564 231848205 309130940 340044034 463696410 510066051 680088068 850110085 927392820 1020132102 1700220170 2040264204 2550330255 3400440340 5100660510 10201321020