Search a number
-
+
1001320210332 = 22331310914943913
BaseRepresentation
bin11101001001000110101…
…01011101111110011100
310112201120201122001121000
432210203111131332130
5112401200433212312
62044000011110300
7132225435232521
oct16444325357634
93481521561530
101001320210332
11356726177512
12142090142390
137356895b8a0
143666d909148
151b0a75e9adc
hexe92355df9c

1001320210332 has 192 divisors, whose sum is σ = 2840357520000. Its totient is φ = 303216224256.

The previous prime is 1001320210259. The next prime is 1001320210339. The reversal of 1001320210332 is 2330120231001.

1001320210332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 320 + 2 + 10 + 332 = 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 (1001320210339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22780408 + ... + 22824320.

It is an arithmetic number, because the mean of its divisors is an integer number (14793528750).

Almost surely, 21001320210332 is an apocalyptic number.

1001320210332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001320210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420178760000).

1001320210332 is an abundant number, since it is smaller than the sum of its proper divisors (1839037309668).

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

1001320210332 is a wasteful number, since it uses less digits than its factorization.

1001320210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44197 (or 44189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001320210332 its reverse (2330120231001), we get a palindrome (3331440441333).

The spelling of 1001320210332 in words is "one trillion, one billion, three hundred twenty million, two hundred ten thousand, three hundred thirty-two".