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201030331131 = 32721994614969
BaseRepresentation
bin1011101100111001010…
…1110110101011111011
3201012220011000221002200
42323032111312223323
511243202231044011
6232204013401243
720344501422600
oct2731625665373
9635804027080
10201030331131
1178290421233
1232b64799223
1315c59918c76
149a30c866a7
155368b47856
hex2ece576afb

201030331131 has 72 divisors (see below), whose sum is σ = 340287948000. Its totient is φ = 114026330880.

The previous prime is 201030331123. The next prime is 201030331147. The reversal of 201030331131 is 131133030102.

It is a happy number.

201030331131 is a `hidden beast` number, since 20 + 1 + 0 + 303 + 311 + 31 = 666.

It is not a de Polignac number, because 201030331131 - 23 = 201030331123 is a prime.

It is a super-3 number, since 3×2010303311313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (201030331631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40454415 + ... + 40459383.

It is an arithmetic number, because the mean of its divisors is an integer number (4726221500).

Almost surely, 2201030331131 is an apocalyptic number.

201030331131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201030331131 is a deficient number, since it is larger than the sum of its proper divisors (139257616869).

201030331131 is a wasteful number, since it uses less digits than its factorization.

201030331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 201030331131 its reverse (131133030102), we get a palindrome (332163361233).

The spelling of 201030331131 in words is "two hundred one billion, thirty million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 199 441 461 597 1383 1393 1791 3227 4149 4179 4969 9681 9751 12537 14907 22589 29043 29253 34783 44721 67767 87759 91739 104349 203301 243481 275217 313047 642173 730443 825651 988831 1926519 2191329 2290709 2966493 4495211 5779557 6872127 6921817 8899479 13485633 16034963 20616381 20765451 40456899 48104889 48452719 62296353 112244741 144314667 145358157 336734223 436074471 455851091 1010202669 1367553273 3190957637 4102659819 9572872911 22336703459 28718618733 67010110377 201030331131