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20100221132031 = 32171091205266003
BaseRepresentation
bin1001001000111111100101…
…00010100101110011111111
32122011120011222012112000200
410210133302202211303333
510113310223102211111
6110425525240454543
74143123134420115
oct444376242456377
978146158175020
1020100221132031
11644a5018a9987
12230768347a453
13b2a59a869221
144d6bda801ab5
1524ccbd701256
hex1247f28a5cff

20100221132031 has 24 divisors (see below), whose sum is σ = 31023546942960. Its totient is φ = 12496197908736.

The previous prime is 20100221131961. The next prime is 20100221132041. The reversal of 20100221132031 is 13023112200102.

20100221132031 is a `hidden beast` number, since 2 + 0 + 100 + 2 + 211 + 320 + 31 = 666.

It is not a de Polignac number, because 20100221132031 - 213 = 20100221123839 is a prime.

It is a super-2 number, since 2×201002211320312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20100221131995 and 20100221132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100221132041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602616325 + ... + 602649678.

It is an arithmetic number, because the mean of its divisors is an integer number (1292647789290).

Almost surely, 220100221132031 is an apocalyptic number.

20100221132031 is a deficient number, since it is larger than the sum of its proper divisors (10923325810929).

20100221132031 is a wasteful number, since it uses less digits than its factorization.

20100221132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205266135 (or 1205266132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20100221132031 its reverse (13023112200102), we get a palindrome (33123333332133).

The spelling of 20100221132031 in words is "twenty trillion, one hundred billion, two hundred twenty-one million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 17 51 109 153 327 981 1853 5559 16677 1205266003 3615798009 10847394027 20489522051 61468566153 131373994327 184405698459 394121982981 1182365948943 2233357903559 6700073710677 20100221132031