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201134212002 = 232192436411123
BaseRepresentation
bin1011101101010010001…
…0001000001110100010
3201020011101111121212100
42323110202020032202
511243410324241002
6232222204111230
720350202410353
oct2732442101642
9636141447770
10201134212002
1178334023499
1232b93535516
1315c752bb039
149a409a7d2a
155372d1711c
hex2ed48883a2

201134212002 has 144 divisors (see below), whose sum is σ = 471784423968. Its totient is φ = 61887006720.

The previous prime is 201134211991. The next prime is 201134212033. The reversal of 201134212002 is 200212431102.

It is a happy number.

201134212002 is a `hidden beast` number, since 201 + 1 + 342 + 120 + 0 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179103813 + ... + 179104935.

It is an arithmetic number, because the mean of its divisors is an integer number (3276280722).

Almost surely, 2201134212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235892211984).

201134212002 is an abundant number, since it is smaller than the sum of its proper divisors (270650211966).

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

201134212002 is a wasteful number, since it uses less digits than its factorization.

201134212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1831 counting only the distinct ones).

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

Adding to 201134212002 its reverse (200212431102), we get a palindrome (401346643104).

The spelling of 201134212002 in words is "two hundred one billion, one hundred thirty-four million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 361 387 641 722 774 817 1083 1123 1282 1634 1923 2166 2246 2451 3249 3369 3846 4902 5769 6498 6738 7353 10107 11538 12179 14706 15523 20214 21337 24358 27563 31046 36537 42674 46569 48289 55126 64011 73074 82689 93138 96578 109611 128022 139707 144867 165378 192033 219222 231401 248067 279414 289734 384066 405403 434601 462802 496134 523697 694203 719843 810806 869202 917491 1047394 1216209 1388406 1439686 1571091 1834982 2082609 2159529 2432418 2752473 3142182 3648627 4165218 4319058 4713273 5504946 6478587 7297254 8257419 9426546 9950243 12957174 13677017 16514838 17432329 19900486 27354034 29850729 30953249 34864658 41031051 52296987 59701458 61906498 82062102 89552187 92859747 104593974 123093153 156890961 179104374 185719494 246186306 259863323 278579241 313781922 519726646 557158482 588111731 779589969 1176223462 1559179938 1764335193 2338769907 3528670386 4677539814 5293005579 10586011158 11174122889 22348245778 33522368667 67044737334 100567106001 201134212002