Search a number
-
+
1002320232001 = 112477313717623
BaseRepresentation
bin11101001010111101111…
…00001111111001000001
310112211011102100102102121
432211132330033321001
5112410222434411001
62044243133044241
7132262300253554
oct16453674177101
93484142312377
101002320232001
11357099705600
1214230b026681
1373697ba589a
143672666069b
151b1152d26a1
hexe95ef0fe41

1002320232001 has 48 divisors (see below), whose sum is σ = 1148968622592. Its totient is φ = 873126397440.

The previous prime is 1002320231989. The next prime is 1002320232049.

1002320232001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1002320232001 - 213 = 1002320223809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002320232301) 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 47 ways as a sum of consecutive naturals, for example, 56866876 + ... + 56884498.

It is an arithmetic number, because the mean of its divisors is an integer number (23936846304).

Almost surely, 21002320232001 is an apocalyptic number.

1002320232001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002320232001 is a deficient number, since it is larger than the sum of its proper divisors (146648390591).

1002320232001 is a wasteful number, since it uses less digits than its factorization.

1002320232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902 (or 17891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 1002320 and 232001, that added together give a palindrome (1234321).

The spelling of 1002320232001 in words is "one trillion, two billion, three hundred twenty million, two hundred thirty-two thousand, one".

Divisors: 1 11 47 73 121 137 517 803 1507 3431 5687 6439 8833 10001 16577 17623 37741 70829 110011 193853 415151 470047 779119 828281 1210121 1286479 2132383 2414351 5170517 9111091 14151269 26557861 56875687 60464513 100222001 113474497 155663959 176247623 292136471 665109643 1248219467 1938723853 7316206073 8283638281 13730414137 21325962383 91120021091 1002320232001