Search a number
-
+
10200001032 = 2333133632479
BaseRepresentation
bin10010111111111011…
…11010101000001000
3222022212002201222000
421133331322220020
5131342200013112
64404045231000
7510523402224
oct113775725010
928285081860
1010200001032
1143646a8821
121b87b62460
13c67275090
146ca945784
153ea7177dc
hex25ff7aa08

10200001032 has 64 divisors (see below), whose sum is σ = 30512832000. Its totient is φ = 3138460992.

The previous prime is 10200001001. The next prime is 10200001039. The reversal of 10200001032 is 23010000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10200001039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813432 + ... + 1819047.

It is an arithmetic number, because the mean of its divisors is an integer number (476763000).

Almost surely, 210200001032 is an apocalyptic number.

10200001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200001032 is an abundant number, since it is smaller than the sum of its proper divisors (20312830968).

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

10200001032 is a wasteful number, since it uses less digits than its factorization.

10200001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632507 (or 3632497 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10200001032 its reverse (23010000201), we get a palindrome (33210001233).

The spelling of 10200001032 in words is "ten billion, two hundred million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 3632479 7264958 10897437 14529916 21794874 29059832 32692311 43589748 47222227 65384622 87179496 94444454 98076933 130769244 141666681 188888908 196153866 261538488 283333362 377777816 392307732 425000043 566666724 784615464 850000086 1133333448 1275000129 1700000172 2550000258 3400000344 5100000516 10200001032