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2002230240031 = 71923951168819
BaseRepresentation
bin11101001000101110001…
…110001110001100011111
321002102002212102210010201
4131020232032032030133
5230301031420140111
64131451210444331
7264441063142420
oct35105616161437
97072085383121
102002230240031
1170216085516a
12284066a336a7
13116a6a623028
146cca0b5d647
1537138bbe6c1
hex1d22e38e31f

2002230240031 has 32 divisors (see below), whose sum is σ = 2513724825600. Its totient is φ = 1554995011680.

The previous prime is 2002230239981. The next prime is 2002230240061. The reversal of 2002230240031 is 1300420322002.

It is not a de Polignac number, because 2002230240031 - 27 = 2002230239903 is a prime.

It is a super-2 number, since 2×20022302400312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002230239990 and 2002230240008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002230240061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29059740 + ... + 29128558.

It is an arithmetic number, because the mean of its divisors is an integer number (78553900800).

Almost surely, 22002230240031 is an apocalyptic number.

2002230240031 is a deficient number, since it is larger than the sum of its proper divisors (511494585569).

2002230240031 is a wasteful number, since it uses less digits than its factorization.

2002230240031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78379.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2002230240031 its reverse (1300420322002), we get a palindrome (3302650562033).

The spelling of 2002230240031 in words is "two trillion, two billion, two hundred thirty million, two hundred forty thousand, thirty-one".

Divisors: 1 7 19 23 133 161 437 3059 9511 66577 68819 180709 218753 481733 1264963 1307561 1531271 1582837 4156307 9152927 11079859 29094149 30073903 210517321 654537509 4581762563 12436212671 15054362707 87053488697 105380538949 286032891433 2002230240031