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200132320310 = 251317376140123
BaseRepresentation
bin1011101001100011010…
…0001101110000110110
3201010120120021020211122
42322120310031300312
511234332333222220
6231534534103542
720313315440336
oct2723064156066
9633516236748
10200132320310
117796a52842a
1232953aaabb2
1315b4586ab10
1499878c70c6
155314db0425
hex2e98d0dc36

200132320310 has 128 divisors (see below), whose sum is σ = 428797805184. Its totient is φ = 66557583360.

The previous prime is 200132320279. The next prime is 200132320321. The reversal of 200132320310 is 13023231002.

200132320310 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2001323203103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 4967909 + ... + 5008031.

It is an arithmetic number, because the mean of its divisors is an integer number (3349982853).

Almost surely, 2200132320310 is an apocalyptic number.

200132320310 is an abundant number, since it is smaller than the sum of its proper divisors (228665484874).

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

200132320310 is a wasteful number, since it uses less digits than its factorization.

200132320310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40258.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 200132320310 its reverse (13023231002), we get a palindrome (213155551312).

The spelling of 200132320310 in words is "two hundred billion, one hundred thirty-two million, three hundred twenty thousand, three hundred ten".

Divisors: 1 2 5 10 13 17 26 34 37 61 65 74 85 122 130 170 185 221 305 370 442 481 610 629 793 962 1037 1105 1258 1586 2074 2210 2257 2405 3145 3965 4514 4810 5185 6290 7930 8177 10370 11285 13481 16354 22570 26962 29341 38369 40123 40885 58682 67405 76738 80246 81770 134810 146705 191845 200615 293410 383690 401230 498797 521599 682091 997594 1043198 1364182 1484551 2447503 2493985 2607995 2969102 3410455 4895006 4987970 5215990 6820910 7422755 8867183 12237515 14845510 17734366 19299163 24475030 25237367 31817539 38598326 41607551 44335915 50474734 63635078 83215102 88671830 90557611 96495815 126186835 159087695 181115222 192991630 208037755 252373670 318175390 328085771 416075510 452788055 540898163 656171542 905576110 1081796326 1177248943 1539479387 1640428855 2354497886 2704490815 3078958774 3280857710 5408981630 5886244715 7697396935 11772489430 15394793870 20013232031 40026464062 100066160155 200132320310