Search a number
-
+
130433141234101 = 17314116573643099
BaseRepresentation
bin11101101010000011010101…
…000011001101100110110101
3122002211021201212122210020111
4131222003111003031212311
5114044004033123442401
61141224054033503021
736321324555354316
oct3552032503154665
9562737655583214
10130433141234101
11386184259292a2
1212766997111a71
1357a1a3bcbcb04
14242cdd7a5860d
151012cea75be51
hex76a0d50cd9b5

130433141234101 has 32 divisors (see below), whose sum is σ = 146125965081600. Its totient is φ = 115833029529600.

The previous prime is 130433141234089. The next prime is 130433141234129. The reversal of 130433141234101 is 101432141334031.

It is a cyclic number.

It is not a de Polignac number, because 130433141234101 - 25 = 130433141234069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130433141234131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33981250 + ... + 37624348.

It is an arithmetic number, because the mean of its divisors is an integer number (4566436408800).

Almost surely, 2130433141234101 is an apocalyptic number.

It is an amenable number.

130433141234101 is a deficient number, since it is larger than the sum of its proper divisors (15692823847499).

130433141234101 is a wasteful number, since it uses less digits than its factorization.

130433141234101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644845.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 130433141234101 its reverse (101432141334031), we get a palindrome (231865282568132).

The spelling of 130433141234101 in words is "one hundred thirty trillion, four hundred thirty-three billion, one hundred forty-one million, two hundred thirty-four thousand, one hundred one".

Divisors: 1 17 31 41 527 697 1271 1657 21607 28169 51367 67937 873239 1154929 2106047 3643099 35802799 61932683 112936069 149367059 1919913173 2539240003 4630378829 6036615043 78716440093 102622455731 187135066333 247501216763 3181296127661 4207520684971 7672537719653 130433141234101