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206523271032 = 233134116279923
BaseRepresentation
bin1100000001010110111…
…1110000011101111000
3201202001221222012002020
43000111233300131320
511340424424133112
6234513034234440
720630560560621
oct3002557603570
9652057865066
10206523271032
117a64a003291
1234038285a20
131662392a270
149dd25c2a48
15558aec048c
hex3015bf0778

206523271032 has 128 divisors (see below), whose sum is σ = 569993276160. Its totient is φ = 61951380480.

The previous prime is 206523271021. The next prime is 206523271051. The reversal of 206523271032 is 230172325602.

206523271032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2065232710322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206523270984 and 206523271002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20807623 + ... + 20817545.

It is an arithmetic number, because the mean of its divisors is an integer number (4453072470).

Almost surely, 2206523271032 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 206523271032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284996638080).

206523271032 is an abundant number, since it is smaller than the sum of its proper divisors (363470005128).

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

206523271032 is a wasteful number, since it uses less digits than its factorization.

206523271032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 206523271032 its reverse (230172325602), we get a palindrome (436695596634).

The spelling of 206523271032 in words is "two hundred six billion, five hundred twenty-three million, two hundred seventy-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 1627 2132 3198 3254 4264 4881 6396 6508 9762 9923 12792 13016 19524 19846 21151 29769 39048 39692 42302 59538 63453 66707 79384 84604 119076 126906 128999 133414 169208 200121 238152 253812 257998 266828 386997 400242 406843 507624 515996 533656 773994 800484 813686 867191 1031992 1220529 1547988 1600968 1627372 1734382 2441058 2601573 3095976 3254744 3468764 4882116 5203146 5288959 6937528 9764232 10406292 10577918 15866877 16144721 20812584 21155836 31733754 32289442 42311672 48434163 63467508 64578884 96868326 126935016 129157768 193736652 209881373 387473304 419762746 629644119 661933561 839525492 1259288238 1323867122 1679050984 1985800683 2518576476 2647734244 3971601366 5037152952 5295468488 7943202732 8605136293 15886405464 17210272586 25815408879 34420545172 51630817758 68841090344 103261635516 206523271032