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201322424440 = 235115311933659
BaseRepresentation
bin1011101101111111000…
…0000110100001111000
3201020122111122210210101
42323133300012201320
511244302020040230
6232253010125144
720354646241564
oct2733760064170
9636574583711
10201322424440
1178420295265
12330265807b4
1315ca52a8c47
149a5b99c6a4
1553845e3aca
hex2edfc06878

201322424440 has 64 divisors (see below), whose sum is σ = 453872354400. Its totient is φ = 80369713152.

The previous prime is 201322424417. The next prime is 201322424441. The reversal of 201322424440 is 44424223102.

It is a junction number, because it is equal to n+sod(n) for n = 201322424399 and 201322424408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201322424441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55019331 + ... + 55022989.

Almost surely, 2201322424440 is an apocalyptic number.

201322424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201322424440 is an abundant number, since it is smaller than the sum of its proper divisors (252549929960).

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

201322424440 is a wasteful number, since it uses less digits than its factorization.

201322424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 201322424440 its reverse (44424223102), we get a palindrome (245746647542).

The spelling of 201322424440 in words is "two hundred one billion, three hundred twenty-two million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1153 1193 2306 2386 3659 4612 4772 5765 5965 7318 9224 9544 11530 11930 14636 18295 23060 23860 29272 36590 46120 47720 73180 146360 1375529 2751058 4218827 4365187 5502116 6877645 8437654 8730374 11004232 13755290 16875308 17460748 21094135 21825935 27510580 33750616 34921496 42188270 43651870 55021160 84376540 87303740 168753080 174607480 5033060611 10066121222 20132242444 25165303055 40264484888 50330606110 100661212220 201322424440