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11202001000002 = 234532814642997
BaseRepresentation
bin1010001100000010101101…
…0010100101011001000010
31110122220022201011200210000
42203000223102211121002
52432013144224000002
635454043410020430
72234214012305511
oct243005322453102
943586281150700
1011202001000002
11362981859001a
12130b033577716
1363346217a7a7
142aa2732d2678
151465ca63c61c
hexa302b4a5642

11202001000002 has 80 divisors (see below), whose sum is σ = 25665397196472. Its totient is φ = 3650509175040.

The previous prime is 11202000999983. The next prime is 11202001000013. The reversal of 11202001000002 is 20000010020211.

It can be written as a sum of positive squares in 4 ways, for example, as 9671285197161 + 1530715802841 = 3109869^2 + 1237221^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91168 + ... + 4734164.

Almost surely, 211202001000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202001000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832698598236).

11202001000002 is an abundant number, since it is smaller than the sum of its proper divisors (14463396196470).

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

11202001000002 is a wasteful number, since it uses less digits than its factorization.

11202001000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643345 (or 4643336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11202001000002 its reverse (20000010020211), we get a palindrome (31202011020213).

The spelling of 11202001000002 in words is "eleven trillion, two hundred two billion, one million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 281 318 477 562 843 954 1431 1686 2529 2862 4293 5058 7587 8586 14893 15174 22761 29786 44679 45522 89358 134037 268074 402111 804222 1206333 2412666 4642997 9285994 13928991 27857982 41786973 83573946 125360919 246078841 250721838 376082757 492157682 738236523 752165514 1304682157 1476473046 2214709569 2609364314 3914046471 4429419138 6644128707 7828092942 11742139413 13288257414 19932386121 23484278826 35226418239 39864772242 69148154321 70452836478 105679254717 138296308642 207444462963 211358509434 414888925926 622333388889 1244666777778 1867000166667 3734000333334 5601000500001 11202001000002