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1124202211002 = 234134113019737
BaseRepresentation
bin10000010110111111101…
…011000110011010111010
310222110202120210110210000
4100112333223012122322
5121404331231223002
62220241254533430
7144135531061323
oct20267753063272
93873676713700
101124202211002
113a3853927372
12161a65067276
138201cc540a0
143c5a98dd44a
151e39a5d661c
hex105bfac66ba

1124202211002 has 80 divisors (see below), whose sum is σ = 2778984957672. Its totient is φ = 337471557120.

The previous prime is 1124202210983. The next prime is 1124202211039. The reversal of 1124202211002 is 2001122024211.

1124202211002 is a `hidden beast` number, since 1 + 12 + 420 + 221 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 252666070281 + 871536140721 = 502659^2 + 933561^2 .

It is a super-2 number, since 2×11242022110022 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6423523 + ... + 6596214.

Almost surely, 21124202211002 is an apocalyptic number.

1124202211002 is an abundant number, since it is smaller than the sum of its proper divisors (1654782746670).

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

1124202211002 is a wasteful number, since it uses less digits than its factorization.

1124202211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13019805 (or 13019796 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1124202211002 its reverse (2001122024211), we get a palindrome (3125324235213).

The spelling of 1124202211002 in words is "one trillion, one hundred twenty-four billion, two hundred two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 351 369 533 702 738 1053 1066 1107 1599 2106 2214 3198 3321 4797 6642 9594 14391 28782 43173 86346 13019737 26039474 39059211 78118422 117177633 169256581 234355266 338513162 351532899 507769743 533809217 703065798 1015539486 1054598697 1067618434 1523309229 1601427651 2109197394 3046618458 3202855302 4569927687 4804282953 6939519821 9139855374 9608565906 13709783061 13879039642 14412848859 20818559463 27419566122 28825697718 41637118926 43238546577 62455678389 86477093154 124911356778 187367035167 374734070334 562101105501 1124202211002