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2142128001 = 313192890861
BaseRepresentation
bin111111110101110…
…0100011110000001
312112021210101012010
41333223210132001
513341341044001
6552321123133
7104040534066
oct17753443601
95467711163
102142128001
119aa1a2522
124b94894a9
13281a4b180
141646d4c6d
15c80d98d6
hex7fae4781

2142128001 has 16 divisors (see below), whose sum is σ = 3237765440. Its totient is φ = 1248851520.

The previous prime is 2142127979. The next prime is 2142128003. The reversal of 2142128001 is 1008212412.

It is not a de Polignac number, because 2142128001 - 26 = 2142127937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142128003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444690 + ... + 1446171.

It is an arithmetic number, because the mean of its divisors is an integer number (202360340).

Almost surely, 22142128001 is an apocalyptic number.

It is an amenable number.

2142128001 is a deficient number, since it is larger than the sum of its proper divisors (1095637439).

2142128001 is a wasteful number, since it uses less digits than its factorization.

2142128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890896.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2142128001 is about 46283.1286863799. The cubic root of 2142128001 is about 1289.0857454441.

The spelling of 2142128001 in words is "two billion, one hundred forty-two million, one hundred twenty-eight thousand, one".

Divisors: 1 3 13 19 39 57 247 741 2890861 8672583 37581193 54926359 112743579 164779077 714042667 2142128001