Search a number
-
+
1140301020001 = 111331293987523
BaseRepresentation
bin10000100101111111001…
…111001011101101100001
311001000022112112201001011
4100211333033023231201
5122140314030120001
62231502544140521
7145245502513453
oct20457717135541
94030275481034
101140301020001
113aa66521a8a0
12164bb8607741
13836b7324980
143d295a322d3
151e9ddae8d51
hex1097f3cbb61

1140301020001 has 32 divisors (see below), whose sum is σ = 1383355330560. Its totient is φ = 925702689600.

The previous prime is 1140301019987. The next prime is 1140301020031. The reversal of 1140301020001 is 1000201030411.

It is not a de Polignac number, because 1140301020001 - 25 = 1140301019969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1140301020031) 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 31 ways as a sum of consecutive naturals, for example, 12984826 + ... + 13072348.

It is an arithmetic number, because the mean of its divisors is an integer number (43229854080).

Almost surely, 21140301020001 is an apocalyptic number.

1140301020001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1140301020001 is a deficient number, since it is larger than the sum of its proper divisors (243054310559).

1140301020001 is a wasteful number, since it uses less digits than its factorization.

1140301020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90517.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1140301020001 its reverse (1000201030411), we get a palindrome (2140502050412).

The spelling of 1140301020001 in words is "one trillion, one hundred forty billion, three hundred one million, twenty thousand, one".

Divisors: 1 11 13 31 143 341 403 2939 4433 32329 38207 87523 91109 420277 962753 1002199 1137799 1184417 2713213 12515789 13028587 29845343 35271769 257230097 387989459 2829531067 3343991261 7974133007 36783903871 87715463077 103663729091 1140301020001