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2152658001 = 313127613709
BaseRepresentation
bin1000000001001110…
…1111010001010001
312120000121100122010
42000103233101101
513402040024001
6553334533133
7104226201564
oct20023572121
95500540563
102152658001
11a051348aa
12500b071a9
13283c97040
14165c764db
15c8eb98d6
hex804ef451

2152658001 has 32 divisors (see below), whose sum is σ = 3124817920. Its totient is φ = 1310287104.

The previous prime is 2152657999. The next prime is 2152658071. The reversal of 2152658001 is 1008562512.

It is not a de Polignac number, because 2152658001 - 21 = 2152657999 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2152658001.

It is not an unprimeable number, because it can be changed into a prime (2152658071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035835 + ... + 3036543.

It is an arithmetic number, because the mean of its divisors is an integer number (97650560).

Almost surely, 22152658001 is an apocalyptic number.

It is an amenable number.

2152658001 is a deficient number, since it is larger than the sum of its proper divisors (972159919).

2152658001 is a wasteful number, since it uses less digits than its factorization.

2152658001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 2152658001 is about 46396.7455863016. The cubic root of 2152658001 is about 1291.1945350117.

The spelling of 2152658001 in words is "two billion, one hundred fifty-two million, six hundred fifty-eight thousand, one".

Divisors: 1 3 13 39 127 381 613 709 1651 1839 2127 4953 7969 9217 23907 27651 77851 90043 233553 270129 434617 1012063 1170559 1303851 3036189 3511677 5650021 16950063 55196359 165589077 717552667 2152658001