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201003041322 = 2331910112491553
BaseRepresentation
bin1011101100110010110…
…1110000001000101010
3201012211020200110112000
42323030231300020222
511243123234310242
6232201200431430
720344020442506
oct2731455601052
9635736613460
10201003041322
1178276a81a76
1232b57618576
1315c54082755
149a2b3c1306
155366556a4c
hex2eccb7022a

201003041322 has 128 divisors (see below), whose sum is σ = 475524000000. Its totient is φ = 62755430400.

The previous prime is 201003041311. The next prime is 201003041333. The reversal of 201003041322 is 223140300102.

201003041322 is a `hidden beast` number, since 201 + 0 + 0 + 30 + 413 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (201003041311) and next prime (201003041333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201003041295 and 201003041304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129428098 + ... + 129429650.

It is an arithmetic number, because the mean of its divisors is an integer number (3715031250).

Almost surely, 2201003041322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201003041322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237762000000).

201003041322 is an abundant number, since it is smaller than the sum of its proper divisors (274520958678).

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

201003041322 is a wasteful number, since it uses less digits than its factorization.

201003041322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201003041322 its reverse (223140300102), we get a palindrome (424143341424).

The spelling of 201003041322 in words is "two hundred one billion, three million, forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 202 303 342 513 606 909 1026 1249 1553 1818 1919 2498 2727 3106 3747 3838 4659 5454 5757 7494 9318 11241 11514 13977 17271 22482 23731 27954 29507 33723 34542 41931 47462 51813 59014 67446 71193 83862 88521 103626 126149 142386 156853 177042 213579 252298 265563 313706 378447 427158 470559 531126 640737 756894 796689 941118 1135341 1281474 1411677 1593378 1939697 2270682 2396831 2823354 2980207 3406023 3879394 4235031 4793662 5819091 5960414 6812046 7190493 8470062 8940621 11638182 14380986 17457273 17881242 21571479 26821863 34914546 36854243 43142958 52371819 53643726 64714437 73708486 80465589 104743638 110562729 129428874 160931178 195909397 221125458 331688187 391818794 587728191 663376374 995064561 1175456382 1763184573 1990129122 3526369146 3722278543 5289553719 7444557086 10579107438 11166835629 22333671258 33500506887 67001013774 100501520661 201003041322