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162143128901 = 1341893418073
BaseRepresentation
bin1001011100000001111…
…0111100110101000101
3120111112000220101011102
42113000132330311011
510124032120111101
6202253145545445
714500025566265
oct2270036746505
9514460811142
10162143128901
1162845629676
12275114a5285
13123a0278530
147bc23c97a5
15433ebc386b
hex25c07bcd45

162143128901 has 16 divisors (see below), whose sum is σ = 180884476080. Its totient is φ = 144379361280.

The previous prime is 162143128879. The next prime is 162143128943. The reversal of 162143128901 is 109821341261.

162143128901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4026702+1.

It can be written as a sum of positive squares in 8 ways, for example, as 98841072100 + 63302056801 = 314390^2 + 251599^2 .

It is a cyclic number.

It is not a de Polignac number, because 162143128901 - 26 = 162143128837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162143128501) 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, 1661600 + ... + 1756473.

It is an arithmetic number, because the mean of its divisors is an integer number (11305279755).

Almost surely, 2162143128901 is an apocalyptic number.

It is an amenable number.

162143128901 is a deficient number, since it is larger than the sum of its proper divisors (18741347179).

162143128901 is a wasteful number, since it uses less digits than its factorization.

162143128901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418216.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 162143128901 in words is "one hundred sixty-two billion, one hundred forty-three million, one hundred twenty-eight thousand, nine hundred one".

Divisors: 1 13 41 89 533 1157 3649 47437 3418073 44434949 140140993 304208497 1821832909 3954710461 12472548377 162143128901