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203303143032 = 2331129155317099
BaseRepresentation
bin1011110101010111001…
…1111100011001111000
3201102202112201201220020
42331111303330121320
511312331101034112
6233221323530440
720455020126423
oct2752563743170
9642675651806
10203303143032
1179247362480
1233499989a20
131622c761c92
149ba8a789ba
15544d44848c
hex2f55cfc678

203303143032 has 128 divisors (see below), whose sum is σ = 573985440000. Its totient is φ = 59440855040.

The previous prime is 203303142983. The next prime is 203303143063. The reversal of 203303143032 is 230341303302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 203303142993 and 203303143011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11881219 + ... + 11898317.

It is an arithmetic number, because the mean of its divisors is an integer number (4484261250).

Almost surely, 2203303143032 is an apocalyptic number.

203303143032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203303143032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286992720000).

203303143032 is an abundant number, since it is smaller than the sum of its proper divisors (370682296968).

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

203303143032 is a wasteful number, since it uses less digits than its factorization.

203303143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18701 (or 18697 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 203303143032 its reverse (230341303302), we get a palindrome (433644446334).

The spelling of 203303143032 in words is "two hundred three billion, three hundred three million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1553 1914 2552 3106 3828 4659 6212 7656 9318 12424 17083 17099 18636 34166 34198 37272 45037 51249 51297 68332 68396 90074 102498 102594 135111 136664 136792 180148 188089 204996 205188 270222 360296 376178 409992 410376 495407 495871 540444 564267 752356 990814 991742 1080888 1128534 1486221 1487613 1504712 1981628 1983484 2257068 2972442 2975226 3963256 3966968 4514136 5454581 5944884 5950452 10909162 11889768 11900904 16363743 21818324 26554747 32727486 43636648 53109494 65454972 79664241 106218988 130909944 159328482 212437976 292102217 318656964 584204434 637313928 770087663 876306651 1168408868 1540175326 1752613302 2310262989 2336817736 3080350652 3505226604 4620525978 6160701304 7010453208 8470964293 9241051956 16941928586 18482103912 25412892879 33883857172 50825785758 67767714344 101651571516 203303143032