Search a number
-
+
1032400042301 = 17311959013363
BaseRepresentation
bin11110000010111111101…
…01100111100100111101
310122200210201211002221202
433001133311213210331
5113403323402323201
62110140015505245
7134405556365525
oct17013765474475
93580721732852
101032400042301
11368924a00261
12148104828225
137647c9628c4
1437d7b522685
151bcc5e23c6b
hexf05fd6793d

1032400042301 has 8 divisors (see below), whose sum is σ = 1128391697664. Its totient is φ = 940326413760.

The previous prime is 1032400042291. The next prime is 1032400042307.

1032400042301 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1032400042301 - 222 = 1032395847997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032400042307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979506155 + ... + 979507208.

It is an arithmetic number, because the mean of its divisors is an integer number (141048962208).

Almost surely, 21032400042301 is an apocalyptic number.

It is an amenable number.

1032400042301 is a deficient number, since it is larger than the sum of its proper divisors (95991655363).

1032400042301 is a wasteful number, since it uses less digits than its factorization.

1032400042301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959013411.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 10324000 and 42301, that added together give a palindrome (10366301).

The spelling of 1032400042301 in words is "one trillion, thirty-two billion, four hundred million, forty-two thousand, three hundred one".

Divisors: 1 17 31 527 1959013363 33303227171 60729414253 1032400042301