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203333292942 = 2313233131311681
BaseRepresentation
bin1011110101011110011…
…0111101001110001110
3201102211122110111210120
42331113212331032032
511312411310333232
6233224322045410
720455534321143
oct2752746751616
9642748414716
10203333292942
117926238555a
12334a7aa9866
1316235a8a270
149baca863ca
155450e0192c
hex2f579bd38e

203333292942 has 128 divisors (see below), whose sum is σ = 473279127552. Its totient is φ = 57723494400.

The previous prime is 203333292907. The next prime is 203333292947. The reversal of 203333292942 is 249292333302.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 203333292894 and 203333292903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203333292947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17401342 + ... + 17413022.

It is an arithmetic number, because the mean of its divisors is an integer number (3697493184).

Almost surely, 2203333292942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203333292942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236639563776).

203333292942 is an abundant number, since it is smaller than the sum of its proper divisors (269945834610).

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

203333292942 is a wasteful number, since it uses less digits than its factorization.

203333292942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066.

The product of its (nonzero) digits is 419904, while the sum is 42.

The spelling of 203333292942 in words is "two hundred three billion, three hundred thirty-three million, two hundred ninety-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 138 186 299 313 403 598 626 713 806 897 939 1209 1426 1794 1878 2139 2418 4069 4278 7199 8138 9269 9703 11681 12207 14398 18538 19406 21597 23362 24414 27807 29109 35043 43194 55614 58218 70086 93587 126139 151853 187174 223169 252278 268663 280761 303706 362111 378417 446338 455559 537326 561522 669507 724222 756834 805989 911118 1086333 1339014 1611978 2172666 2901197 3492619 3656153 4707443 5802394 6985238 7312306 8328553 8703591 9414886 10477857 10968459 14122329 16657106 17407182 20955714 21936918 24985659 28244658 47529989 49971318 84091519 95059978 108271189 113340743 142589967 168183038 216542378 226681486 252274557 285179934 324813567 340022229 504549114 649627134 680044458 1093189747 1473429659 2186379494 2606837089 2946859318 3279569241 4420288977 5213674178 6559138482 7820511267 8840577954 15641022534 33888882157 67777764314 101666646471 203333292942