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20132414322 = 23173753251401
BaseRepresentation
bin10010101111111111…
…000100001101110010
31220222001200121112220
4102233333010031302
5312212344224242
613125415301510
71311620461326
oct225777041562
956861617486
1020132414322
1185a124a949
123a9a37a896
131b8ac5a2c7
14d8db13986
157cc6c4bec
hex4affc4372

20132414322 has 128 divisors (see below), whose sum is σ = 44901174528. Its totient is φ = 5990400000.

The previous prime is 20132414321. The next prime is 20132414353. The reversal of 20132414322 is 22341423102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20132414292 and 20132414301.

It is not an unprimeable number, because it can be changed into a prime (20132414321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50205322 + ... + 50205722.

It is an arithmetic number, because the mean of its divisors is an integer number (350790426).

Almost surely, 220132414322 is an apocalyptic number.

20132414322 is an abundant number, since it is smaller than the sum of its proper divisors (24768760206).

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

20132414322 is a wasteful number, since it uses less digits than its factorization.

20132414322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20132414322 its reverse (22341423102), we get a palindrome (42473837424).

The spelling of 20132414322 in words is "twenty billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 37 51 53 74 102 106 111 159 222 251 318 401 502 629 753 802 901 1203 1258 1506 1802 1887 1961 2406 2703 3774 3922 4267 5406 5883 6817 8534 9287 11766 12801 13303 13634 14837 18574 20451 21253 25602 26606 27861 29674 33337 39909 40902 42506 44511 55722 63759 66674 79818 89022 100011 100651 127518 157879 200022 201302 226151 252229 301953 315758 361301 452302 473637 492211 504458 603906 678453 722602 756687 786361 947274 984422 1083903 1356906 1476633 1513374 1572722 1711067 2167806 2359083 2953266 3422134 3724087 4718166 5133201 5334503 7448174 8367587 10266402 10669006 11172261 13368137 16003509 16735174 22344522 25102761 26736274 32007018 40104411 50205522 63309479 80208822 90686551 126618958 181373102 189928437 197376611 272059653 379856874 394753222 544119306 592129833 1184259666 3355402387 6710804774 10066207161 20132414322