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2065123032 = 2337231371531
BaseRepresentation
bin111101100010111…
…0100011011011000
312022220220010020020
41323011310123120
513212132414112
6540530430440
7102114153600
oct17305643330
95286803206
102065123032
1196a787555
12497732420
1326bac90bb
141583abc00
15c147848c
hex7b1746d8

2065123032 has 192 divisors, whose sum is σ = 6371159040. Its totient is φ = 555206400.

The previous prime is 2065123019. The next prime is 2065123033. The reversal of 2065123032 is 2303215602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2065122993 and 2065123011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065123033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348107 + ... + 1349637.

It is an arithmetic number, because the mean of its divisors is an integer number (33183120).

Almost surely, 22065123032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185579520).

2065123032 is an abundant number, since it is smaller than the sum of its proper divisors (4306036008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2065123032 is a wasteful number, since it uses less digits than its factorization.

2065123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2065123032 is about 45443.6247673972. The cubic root of 2065123032 is about 1273.4502317380.

Adding to 2065123032 its reverse (2303215602), we get a palindrome (4368338634).

The spelling of 2065123032 in words is "two billion, sixty-five million, one hundred twenty-three thousand, thirty-two".