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203212300032 = 2832712599969
BaseRepresentation
bin1011110101000001100…
…1011001111100000000
3201102112012210102201200
42331100121121330000
511312134322100112
6233204320501200
720452535023140
oct2752031317400
9642465712650
10203212300032
1179200055815
123347347a800
13162169a6421
149b9a98c920
1554454a1cdc
hex2f50659f00

203212300032 has 108 divisors (see below), whose sum is σ = 669612805680. Its totient is φ = 58060652544.

The previous prime is 203212299991. The next prime is 203212300033. The reversal of 203212300032 is 230003212302.

It is a happy number.

203212300032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 203212299978 and 203212300014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203212300033) 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 11 ways as a sum of consecutive naturals, for example, 6283857 + ... + 6316112.

Almost surely, 2203212300032 is an apocalyptic number.

It is an amenable number.

203212300032 is an abundant number, since it is smaller than the sum of its proper divisors (466400505648).

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

203212300032 is a wasteful number, since it uses less digits than its factorization.

203212300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599998 (or 12599981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 203212300032 its reverse (230003212302), we get a palindrome (433215512334).

The spelling of 203212300032 in words is "two hundred three billion, two hundred twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 12599969 25199938 37799907 50399876 75599814 88199783 100799752 113399721 151199628 176399566 201599504 226799442 264599349 302399256 352799132 403199008 453598884 529198698 604798512 705598264 793798047 806398016 907197768 1058397396 1209597024 1411196528 1587596094 1612796032 1814395536 2116794792 2419194048 2822393056 3175192188 3225592064 3628791072 4233589584 4838388096 5644786112 6350384376 7257582144 8467179168 9676776192 11289572224 12700768752 14515164288 16934358336 22579144448 25401537504 29030328576 33868716672 50803075008 67737433344 101606150016 203212300032