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101014344045 = 3252244763201
BaseRepresentation
bin101111000010011101…
…1001001000101101101
3100122201212022100200200
41132010323021011231
53123334133002140
6114223315544113
710204141520526
oct1360473110555
9318655270620
10101014344045
1139926a6686a
12176b15bb039
1396aa9cc814
144c63a6384d
152963301030
hex1784ec916d

101014344045 has 12 divisors (see below), whose sum is σ = 175091529756. Its totient is φ = 53874316800.

The previous prime is 101014344043. The next prime is 101014344143. The reversal of 101014344045 is 540443410101.

It can be written as a sum of positive squares in 2 ways, for example, as 35140501764 + 65873842281 = 187458^2 + 256659^2 .

It is not a de Polignac number, because 101014344045 - 21 = 101014344043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101014344043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122381556 + ... + 1122381645.

It is an arithmetic number, because the mean of its divisors is an integer number (14590960813).

Almost surely, 2101014344045 is an apocalyptic number.

101014344045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101014344045 is a deficient number, since it is larger than the sum of its proper divisors (74077185711).

101014344045 is a wasteful number, since it uses less digits than its factorization.

101014344045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244763212 (or 2244763209 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101014344045 its reverse (540443410101), we get a palindrome (641457754146).

The spelling of 101014344045 in words is "one hundred one billion, fourteen million, three hundred forty-four thousand, forty-five".

Divisors: 1 3 5 9 15 45 2244763201 6734289603 11223816005 20202868809 33671448015 101014344045