Search a number
-
+
1002143044031 = 23711314684597
BaseRepresentation
bin11101001010101000110…
…00010101000110111111
310112210201001221100020012
432211110120111012333
5112404342104402111
62044213403213435
7132255016216553
oct16452430250677
93483631840205
101002143044031
11357008693668
1214227b81727b
137366a27792c
143670acd9863
151b10498248b
hexe9546151bf

1002143044031 has 16 divisors (see below), whose sum is σ = 1068538065408. Its totient is φ = 937856119200.

The previous prime is 1002143044027. The next prime is 1002143044037. The reversal of 1002143044031 is 1304403412001.

It is a cyclic number.

It is not a de Polignac number, because 1002143044031 - 22 = 1002143044027 is a prime.

It is a super-3 number, since 3×10021430440313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002143043988 and 1002143044006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002143044037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128376 + ... + 2556221.

It is an arithmetic number, because the mean of its divisors is an integer number (66783629088).

Almost surely, 21002143044031 is an apocalyptic number.

1002143044031 is a deficient number, since it is larger than the sum of its proper divisors (66395021377).

1002143044031 is a wasteful number, since it uses less digits than its factorization.

1002143044031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684822.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1002143044031 its reverse (1304403412001), we get a palindrome (2306546456032).

The spelling of 1002143044031 in words is "one trillion, two billion, one hundred forty-three million, forty-four thousand, thirty-one".

Divisors: 1 23 71 131 1633 3013 9301 213923 4684597 107745731 332606387 613682207 7649946901 14114690761 43571436697 1002143044031