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11202004002 = 237192811911
BaseRepresentation
bin10100110111011000…
…10000010000100010
31001220200112202122010
422123230100100202
5140420203112002
65051321453350
7544411314540
oct123354202042
931820482563
1011202004002
11482926a452
122207641256
131096a33b47
14783a54d90
1545869246c
hex29bb10422

11202004002 has 96 divisors (see below), whose sum is σ = 27086137344. Its totient is φ = 3025058400.

The previous prime is 11202003991. The next prime is 11202004043. The reversal of 11202004002 is 20040020211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12295927 + ... + 12296837.

It is an arithmetic number, because the mean of its divisors is an integer number (282147264).

Almost surely, 211202004002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202004002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543068672).

11202004002 is an abundant number, since it is smaller than the sum of its proper divisors (15884133342).

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

11202004002 is a wasteful number, since it uses less digits than its factorization.

11202004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11202004002 its reverse (20040020211), we get a palindrome (31242024213).

The spelling of 11202004002 in words is "eleven billion, two hundred two million, four thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 811 911 1083 1622 1822 2166 2433 2527 2733 4866 5054 5466 5677 6377 7581 11354 12754 15162 15409 17031 17309 19131 30818 34062 34618 38262 46227 51927 92454 103854 107863 121163 215726 242326 292771 323589 328871 363489 585542 647178 657742 726978 738821 878313 986613 1477642 1756626 1973226 2049397 2216463 2302097 4098794 4432926 4604194 5171747 6148191 6906291 10343494 12296382 13812582 14037599 15515241 28075198 31030482 42112797 84225594 98263193 196526386 266714381 294789579 533428762 589579158 800143143 1600286286 1867000667 3734001334 5601002001 11202004002