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201131032440 = 233513612113609
BaseRepresentation
bin1011101101010001010…
…1111111111101111000
3201020011011112002022210
42323110111333331320
511243404021014230
6232222012015120
720350133365452
oct2732425777570
9636134462283
10201131032440
1178332251658
1232b924614a0
1315c74746a40
149a403bb2d2
1553728d9eb0
hex2ed457ff78

201131032440 has 128 divisors (see below), whose sum is σ = 660460852800. Its totient is φ = 48697528320.

The previous prime is 201131032439. The next prime is 201131032441. The reversal of 201131032440 is 44230131102.

It is an interprime number because it is at equal distance from previous prime (201131032439) and next prime (201131032441).

It is a super-4 number, since 4×2011310324404 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131032441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961645 + ... + 1151964.

Almost surely, 2201131032440 is an apocalyptic number.

201131032440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201131032440 is an abundant number, since it is smaller than the sum of its proper divisors (459329820360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201131032440 is a wasteful number, since it uses less digits than its factorization.

201131032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113697 (or 2113693 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201131032440 its reverse (44230131102), we get a palindrome (245361163542).

The spelling of 201131032440 in words is "two hundred one billion, one hundred thirty-one million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3660 3965 4758 6344 7320 7930 9516 11895 15860 19032 23790 31720 47580 95160 2113609 4227218 6340827 8454436 10568045 12681654 16908872 21136090 25363308 27476917 31704135 42272180 50726616 54953834 63408270 82430751 84544360 109907668 126816540 128930149 137384585 164861502 219815336 253633080 257860298 274769170 329723004 386790447 412153755 515720596 549538340 644650745 659446008 773580894 824307510 1031441192 1099076680 1289301490 1547161788 1648615020 1676091937 1933952235 2578602980 3094323576 3297230040 3352183874 3867904470 5028275811 5157205960 6704367748 7735808940 8380459685 10056551622 13408735496 15471617880 16760919370 20113103244 25141379055 33521838740 40226206488 50282758110 67043677480 100565516220 201131032440