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211141220031 = 32767234721313
BaseRepresentation
bin1100010010100011111…
…1110101011010111111
3202011222210110022012100
43010220333311122333
511424404123020111
6240555201040143
721153163521030
oct3045077653277
9664883408170
10211141220031
11815a9794765
1234b06926053
1316bab590271
14a30da32a87
15575b60b756
hex3128ff56bf

211141220031 has 48 divisors (see below), whose sum is σ = 353920163584. Its totient is φ = 118795133952.

The previous prime is 211141220021. The next prime is 211141220041. The reversal of 211141220031 is 130022141112.

211141220031 is a `hidden beast` number, since 21 + 1 + 1 + 412 + 200 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (211141220021) and next prime (211141220041).

It is not a de Polignac number, because 211141220031 - 25 = 211141219999 is a prime.

It is a super-2 number, since 2×2111412200312 (a number of 23 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 = 211141219986 and 211141220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9896031 + ... + 9917343.

Almost surely, 2211141220031 is an apocalyptic number.

211141220031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211141220031 is a deficient number, since it is larger than the sum of its proper divisors (142778943553).

211141220031 is a wasteful number, since it uses less digits than its factorization.

211141220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740 (or 23737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211141220031 its reverse (130022141112), we get a palindrome (341163361143).

The spelling of 211141220031 in words is "two hundred eleven billion, one hundred forty-one million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 2347 4221 7041 16429 21123 21313 49287 63939 147861 149191 157249 191817 447573 471747 1100743 1342719 1415241 1427971 3302229 4283913 9906687 9995797 12851739 29987391 50021611 89962173 150064833 350151277 450194499 1050453831 3151361493 3351447937 10054343811 23460135559 30163031433 70380406677 211141220031