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2002022031 = 31275254651
BaseRepresentation
bin111011101010100…
…0110111010001111
312011112011020221010
41313111012322033
513100004201111
6530354140303
7100416622632
oct16725067217
95145136833
102002022031
119380a8869
1247a581693
1325ba04829
1414dc63c19
15bab61aa6
hex77546e8f

2002022031 has 8 divisors (see below), whose sum is σ = 2690381824. Its totient is φ = 1324171800.

The previous prime is 2002022027. The next prime is 2002022063. The reversal of 2002022031 is 1302202002.

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

It is not a de Polignac number, because 2002022031 - 22 = 2002022027 is a prime.

It is a super-2 number, since 2×20020220312 = 8016184425218729922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002021998 and 2002022016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002026031) 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, 2626945 + ... + 2627706.

It is an arithmetic number, because the mean of its divisors is an integer number (336297728).

Almost surely, 22002022031 is an apocalyptic number.

2002022031 is a deficient number, since it is larger than the sum of its proper divisors (688359793).

2002022031 is a wasteful number, since it uses less digits than its factorization.

2002022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254781.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002022031 is about 44743.9608327202. The cubic root of 2002022031 is about 1260.3455067862.

Adding to 2002022031 its reverse (1302202002), we get a palindrome (3304224033).

The spelling of 2002022031 in words is "two billion, two million, twenty-two thousand, thirty-one".

Divisors: 1 3 127 381 5254651 15763953 667340677 2002022031