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2002331323031 = 133121713228829
BaseRepresentation
bin11101001000110100001…
…111110100101010010111
321002102100220122022221112
4131020310033310222113
5230301233304314111
64131505221205235
7264443431265144
oct35106417645227
97072326568845
102002331323031
11702202916336
1228409486081b
13116a85555760
146ccb03533cb
15371429d9e8b
hex1d2343f4a97

2002331323031 has 16 divisors (see below), whose sum is σ = 2226028949760. Its totient is φ = 1788592872960.

The previous prime is 2002331323009. The next prime is 2002331323049. The reversal of 2002331323031 is 1303231332002.

It is a cyclic number.

It is not a de Polignac number, because 2002331323031 - 218 = 2002331060887 is a prime.

It is a super-2 number, since 2×20023313230312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002331322988 and 2002331323006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002331323061) 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, 8635925 + ... + 8864753.

It is an arithmetic number, because the mean of its divisors is an integer number (139126809360).

Almost surely, 22002331323031 is an apocalyptic number.

2002331323031 is a deficient number, since it is larger than the sum of its proper divisors (223697626729).

2002331323031 is a wasteful number, since it uses less digits than its factorization.

2002331323031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250586.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2002331323031 its reverse (1303231332002), we get a palindrome (3305562655033).

The spelling of 2002331323031 in words is "two trillion, two billion, three hundred thirty-one million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 13 31 403 21713 228829 282269 673103 2974777 7093699 8750339 92218087 4968564077 64591333001 154025486387 2002331323031