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201231312021 = 32413257167437
BaseRepresentation
bin1011101101101001010…
…0100010010010010101
3201020102011012211001100
42323122110202102111
511244110203441041
6232235553220313
720352461633655
oct2733224422225
9636364184040
10201231312021
1178383914143
1232bbbb61699
1315c8c45787c
149a4d842365
15537b5e76b6
hex2eda522495

201231312021 has 24 divisors (see below), whose sum is σ = 297850100184. Its totient is φ = 130841187840.

The previous prime is 201231312013. The next prime is 201231312031. The reversal of 201231312021 is 120213132102.

201231312021 is a `hidden beast` number, since 201 + 231 + 31 + 202 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59907947121 + 141323364900 = 244761^2 + 375930^2 .

It is not a de Polignac number, because 201231312021 - 23 = 201231312013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201231311985 and 201231312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201231312031) 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, 1118115 + ... + 1285551.

It is an arithmetic number, because the mean of its divisors is an integer number (12410420841).

Almost surely, 2201231312021 is an apocalyptic number.

It is an amenable number.

201231312021 is a deficient number, since it is larger than the sum of its proper divisors (96618788163).

201231312021 is a wasteful number, since it uses less digits than its factorization.

201231312021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170741 (or 170738 counting only the distinct ones).

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

Adding to 201231312021 its reverse (120213132102), we get a palindrome (321444444123).

The spelling of 201231312021 in words is "two hundred one billion, two hundred thirty-one million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 41 123 369 3257 9771 29313 133537 167437 400611 502311 1201833 1506933 6864917 20594751 61784253 545342309 1636026927 4908080781 22359034669 67077104007 201231312021