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202132032312 = 233728339710709
BaseRepresentation
bin1011110001000000000…
…0100000101100111000
3201022201221002011000010
42330100000200230320
511302431300013222
6232505210541520
720414006632440
oct2742000405470
9638657064003
10202132032312
11787a6298681
12332117378a0
13160a3c44062
149ad7309120
1553d071780c
hex2f10020b38

202132032312 has 128 divisors (see below), whose sum is σ = 581074905600. Its totient is φ = 57397621248.

The previous prime is 202132032301. The next prime is 202132032331. The reversal of 202132032312 is 213230231202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18869614 + ... + 18880322.

It is an arithmetic number, because the mean of its divisors is an integer number (4539647700).

Almost surely, 2202132032312 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 202132032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290537452800).

202132032312 is an abundant number, since it is smaller than the sum of its proper divisors (378942873288).

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

202132032312 is a wasteful number, since it uses less digits than its factorization.

202132032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405 (or 11401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 202132032312 its reverse (213230231202), we get a palindrome (415362263514).

The spelling of 202132032312 in words is "two hundred two billion, one hundred thirty-two million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 397 566 794 849 1132 1191 1588 1698 1981 2264 2382 2779 3176 3396 3962 4764 5558 5943 6792 7924 8337 9528 10709 11116 11886 15848 16674 21418 22232 23772 32127 33348 42836 47544 64254 66696 74963 85672 112351 128508 149926 224702 224889 257016 299852 337053 449404 449778 599704 674106 786457 898808 899556 1348212 1572914 1799112 2359371 2696424 3030647 3145828 4251473 4718742 6061294 6291656 8502946 9091941 9437484 12122588 12754419 17005892 18183882 18874968 21214529 24245176 25508838 29760311 34011784 36367764 42429058 51017676 59520622 63643587 72735528 84858116 89280933 102035352 119041244 127287174 169716232 178561866 238082488 254574348 357123732 509148696 714247464 1203166859 2406333718 3609500577 4812667436 7219001154 8422168013 9625334872 14438002308 16844336026 25266504039 28876004616 33688672052 50533008078 67377344104 101066016156 202132032312