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200012304132 = 223321113616449
BaseRepresentation
bin1011101001000110101…
…0011000111100000100
3201010021012102210121000
42322101222120330010
511234111122213012
6231515005453300
720310330351054
oct2722152307404
9633235383530
10200012304132
1177908805503
123291b871230
1315b26a39724
1499759a5564
1553095a4ddc
hex2e91a98f04

200012304132 has 96 divisors (see below), whose sum is σ = 521471664000. Its totient is φ = 66295756800.

The previous prime is 200012304077. The next prime is 200012304161. The reversal of 200012304132 is 231403210002.

200012304132 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 230 + 413 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31011244 + ... + 31017692.

It is an arithmetic number, because the mean of its divisors is an integer number (5431996500).

Almost surely, 2200012304132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260735832000).

200012304132 is an abundant number, since it is smaller than the sum of its proper divisors (321459359868).

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

200012304132 is a wasteful number, since it uses less digits than its factorization.

200012304132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200012304132 its reverse (231403210002), we get a palindrome (431415514134).

The spelling of 200012304132 in words is "two hundred billion, twelve million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1361 1899 2532 2722 3798 4083 5444 5697 6449 7596 8166 11394 12249 12898 16332 19347 22788 24498 25796 36747 38694 48996 58041 73494 77388 116082 146988 174123 232164 287171 348246 574342 696492 861513 1148684 1360739 1723026 2584539 2721478 3446052 4082217 5169078 5442956 7753617 8164434 8777089 10338156 12246651 15507234 16328868 17554178 24493302 26331267 31014468 35108356 36739953 48986604 52662534 73479906 78993801 105325068 146959812 157987602 236981403 315975204 473962806 947925612 1851965779 3703931558 5555897337 7407863116 11111794674 16667692011 22223589348 33335384022 50003076033 66670768044 100006152066 200012304132