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20120350413137 = 1314959317516657
BaseRepresentation
bin1001001001100101000100…
…10101101101000101010001
32122020111010210222221121112
410210302202111231011101
510114122434201210022
6110443054505103105
74144435016451632
oct444624225550521
978214123887545
1020120350413137
116457aa12a9797
12230b560787a95
13b2c457c6a350
144d7b89d3b889
1524d59a9a78e2
hex124ca256d151

20120350413137 has 16 divisors (see below), whose sum is σ = 21850279189200. Its totient is φ = 18416871985152.

The previous prime is 20120350413109. The next prime is 20120350413157. The reversal of 20120350413137 is 73131405302102.

It can be written as a sum of positive squares in 8 ways, for example, as 2195491194961 + 17924859218176 = 1481719^2 + 4233776^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120350413137 - 212 = 20120350409041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20120350413157) 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 15 ways as a sum of consecutive naturals, for example, 7609688 + ... + 9906969.

It is an arithmetic number, because the mean of its divisors is an integer number (1365642449325).

Almost surely, 220120350413137 is an apocalyptic number.

It is an amenable number.

20120350413137 is a deficient number, since it is larger than the sum of its proper divisors (1729928776063).

20120350413137 is a wasteful number, since it uses less digits than its factorization.

20120350413137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17517412.

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 20120350413137 its reverse (73131405302102), we get a palindrome (93251755715239).

The spelling of 20120350413137 in words is "twenty trillion, one hundred twenty billion, three hundred fifty million, four hundred thirteen thousand, one hundred thirty-seven".

Divisors: 1 13 149 593 1937 7709 88357 1148641 17516657 227716541 2609981893 10387377601 33929764609 135035908813 1547719262549 20120350413137