Search a number
-
+
145105047231 = 31923853129757
BaseRepresentation
bin1000011100100011101…
…1110100111010111111
3111212112121202011000120
42013020323310322333
54334133343002411
6150354344430023
713324560356634
oct2071073647277
9455477664016
10145105047231
11565a201a741
1224157478313
13108b64107c1
14704763618b
153b93ec8106
hex21c8ef4ebf

145105047231 has 32 divisors (see below), whose sum is σ = 212761597440. Its totient is φ = 87557272704.

The previous prime is 145105047203. The next prime is 145105047247. The reversal of 145105047231 is 132740501541.

It is not a de Polignac number, because 145105047231 - 27 = 145105047103 is a prime.

It is a super-2 number, since 2×1451050472312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145105047192 and 145105047201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145105047431) 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, 1053405 + ... + 1183161.

It is an arithmetic number, because the mean of its divisors is an integer number (6648799920).

Almost surely, 2145105047231 is an apocalyptic number.

145105047231 is a deficient number, since it is larger than the sum of its proper divisors (67656550209).

145105047231 is a wasteful number, since it uses less digits than its factorization.

145105047231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130655.

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 145105047231 its reverse (132740501541), we get a palindrome (277845548772).

The spelling of 145105047231 in words is "one hundred forty-five billion, one hundred five million, forty-seven thousand, two hundred thirty-one".

Divisors: 1 3 19 23 57 69 437 853 1311 2559 16207 19619 48621 58857 129757 372761 389271 1118283 2465383 2984411 7396149 8953233 56703809 110682721 170111427 332048163 2102971699 2545702583 6308915097 7637107749 48368349077 145105047231