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1131202022004 = 2232172963736873
BaseRepresentation
bin10000011101100000111…
…001010000101001110100
311000010211102011201022100
4100131200321100221310
5122013200204201004
62223400025102100
7144504145352505
oct20354071205164
94003742151270
101131202022004
113a6816061a3a
12163299327930
13828971c1ca2
143ca7140abac
151e659db4739
hex10760e50a74

1131202022004 has 72 divisors (see below), whose sum is σ = 3132029988360. Its totient is φ = 342649423872.

The previous prime is 1131202022003. The next prime is 1131202022011. The reversal of 1131202022004 is 4002202021311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 179792960400 + 951409061604 = 424020^2 + 975402^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131202022003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31850689 + ... + 31886184.

It is an arithmetic number, because the mean of its divisors is an integer number (43500416505).

Almost surely, 21131202022004 is an apocalyptic number.

It is an amenable number.

1131202022004 is an abundant number, since it is smaller than the sum of its proper divisors (2000827966356).

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

1131202022004 is a wasteful number, since it uses less digits than its factorization.

1131202022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63736929 (or 63736924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1131202022004 its reverse (4002202021311), we get a palindrome (5133404043315).

The spelling of 1131202022004 in words is "one trillion, one hundred thirty-one billion, two hundred two million, twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 63736873 127473746 191210619 254947492 382421238 573631857 764842476 1083526841 1147263714 1848369317 2167053682 2294527428 3250580523 3696738634 4334107364 5545107951 6501161046 7393477268 9751741569 11090215902 13002322092 16635323853 19503483138 22180431804 31422278389 33270647706 39006966276 62844556778 66541295412 94266835167 125689113556 188533670334 282800505501 377067340668 565601011002 1131202022004