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2001022233431 = 136114943139293
BaseRepresentation
bin11101000111100110001…
…110000010101101010111
321002021222200100200121112
4131013212032002231113
5230241043142432211
64131131255005235
7264366124226324
oct35074616025527
97067880320545
102001022233431
117016a097aa01
1228398a36981b
13116907287420
146cbc8547b4b
15370b7b0188b
hex1d1e6382b57

2001022233431 has 32 divisors (see below), whose sum is σ = 2210146041600. Its totient is φ = 1800390873600.

The previous prime is 2001022233389. The next prime is 2001022233437. The reversal of 2001022233431 is 1343322201002.

It is a cyclic number.

It is not a de Polignac number, because 2001022233431 - 26 = 2001022233367 is a prime.

It is a super-2 number, since 2×20010222334312 (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 = 2001022233397 and 2001022233406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001022233437) 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, 50906021 + ... + 50945313.

It is an arithmetic number, because the mean of its divisors is an integer number (69067063800).

Almost surely, 22001022233431 is an apocalyptic number.

2001022233431 is a deficient number, since it is larger than the sum of its proper divisors (209123808169).

2001022233431 is a wasteful number, since it uses less digits than its factorization.

2001022233431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39947.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2001022233431 its reverse (1343322201002), we get a palindrome (3344344434433).

The spelling of 2001022233431 in words is "two trillion, one billion, twenty-two million, two hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 13 61 149 431 793 1937 5603 9089 26291 39293 64219 118157 341783 510809 834847 2396873 3917359 5854657 16935283 31159349 50925667 76110541 220158679 357134077 1033052263 2523357167 4642743001 13429679419 32803643171 153924787187 2001022233431