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211024144431 = 351814797857
BaseRepresentation
bin1100010010001000000…
…1001110100000101111
3202011200122011020200000
43010202001032200233
511424134140110211
6240535415435343
721150242426532
oct3044201164057
9664618136600
10211024144431
11815496a0071
1234a93685b53
1316b9024b469
14a2dc278a19
1557511d2656
hex312204e82f

211024144431 has 24 divisors (see below), whose sum is σ = 317848496784. Its totient is φ = 139905480960.

The previous prime is 211024144421. The next prime is 211024144451. The reversal of 211024144431 is 134441420112.

211024144431 is a `hidden beast` number, since 211 + 0 + 2 + 4 + 1 + 4 + 443 + 1 = 666.

It is not a de Polignac number, because 211024144431 - 218 = 211023882287 is a prime.

It is a super-2 number, since 2×2110241444312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211024144395 and 211024144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211024144421) 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, 2354946 + ... + 2442911.

It is an arithmetic number, because the mean of its divisors is an integer number (13243687366).

Almost surely, 2211024144431 is an apocalyptic number.

211024144431 is a deficient number, since it is larger than the sum of its proper divisors (106824352353).

211024144431 is an equidigital number, since it uses as much as digits as its factorization.

211024144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798053 (or 4798041 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211024144431 its reverse (134441420112), we get a palindrome (345465564543).

The spelling of 211024144431 in words is "two hundred eleven billion, twenty-four million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 181 243 543 1629 4887 14661 43983 4797857 14393571 43180713 129542139 388626417 868412117 1165879251 2605236351 7815709053 23447127159 70341381477 211024144431