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2142031633 = 71916105501
BaseRepresentation
bin111111110101100…
…1100111100010001
312112021121110222221
41333223030330101
513341330003013
6552315101041
7104036653120
oct17753147421
95467543887
102142031633
119aa137085
124b9441781
13281a16351
141646abab7
15c80bb08d
hex7faccf11

2142031633 has 8 divisors (see below), whose sum is σ = 2576880320. Its totient is φ = 1739394000.

The previous prime is 2142031621. The next prime is 2142031643. The reversal of 2142031633 is 3361302412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142031633 - 25 = 2142031601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2142031598 and 2142031607.

It is not an unprimeable number, because it can be changed into a prime (2142031643) 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 7 ways as a sum of consecutive naturals, for example, 8052618 + ... + 8052883.

It is an arithmetic number, because the mean of its divisors is an integer number (322110040).

Almost surely, 22142031633 is an apocalyptic number.

It is an amenable number.

2142031633 is a deficient number, since it is larger than the sum of its proper divisors (434848687).

2142031633 is a wasteful number, since it uses less digits than its factorization.

2142031633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105527.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 2142031633 is about 46282.0876041693. The cubic root of 2142031633 is about 1289.0664144365.

The spelling of 2142031633 in words is "two billion, one hundred forty-two million, thirty-one thousand, six hundred thirty-three".

Divisors: 1 7 19 133 16105501 112738507 306004519 2142031633