Search a number
-
+
11331131093202 = 239720119681401
BaseRepresentation
bin1010010011100011110000…
…0010110011000011010010
31111010020122000020002121110
42210320330002303003102
52441122124024440302
640033241052034150
72246434664061444
oct244707402630322
944106560202543
1011331131093202
113679562111308
121330070a62956
136426a0a6416b
142b2603036494
15149b36e1ab6c
hexa4e3c0b30d2

11331131093202 has 32 divisors (see below), whose sum is σ = 22907281449024. Its totient is φ = 3736245888000.

The previous prime is 11331131093189. The next prime is 11331131093203. The reversal of 11331131093202 is 20239013113311.

It is a happy number.

It is a super-2 number, since 2×113311310932022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131093202.

It is not an unprimeable number, because it can be changed into a prime (11331131093203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670299 + ... + 6011102.

It is an arithmetic number, because the mean of its divisors is an integer number (715852545282).

Almost surely, 211331131093202 is an apocalyptic number.

11331131093202 is an abundant number, since it is smaller than the sum of its proper divisors (11576150355822).

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

11331131093202 is a wasteful number, since it uses less digits than its factorization.

11331131093202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683514.

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 11331131093202 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, ninety-three thousand, two hundred two".

Divisors: 1 2 3 6 97 194 291 582 2011 4022 6033 12066 195067 390134 585201 1170402 9681401 19362802 29044203 58088406 939095897 1878191794 2817287691 5634575382 19469297411 38938594822 58407892233 116815784466 1888521848867 3777043697734 5665565546601 11331131093202