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1003230310220 = 2251723211608011
BaseRepresentation
bin11101001100101010010…
…11111010111101001100
310112220111211211012001022
432212111023322331030
5112414103424411340
62044513323133312
7132323660636045
oct16462513727514
93486454735038
101003230310220
113575163a0866
12142523974238
13737b15ba5c8
14367b14818cc
151b16a1503b5
hexe9952faf4c

1003230310220 has 96 divisors (see below), whose sum is σ = 2338735182336. Its totient is φ = 359552793600.

The previous prime is 1003230310207. The next prime is 1003230310223. The reversal of 1003230310220 is 220130323001.

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

It is not an unprimeable number, because it can be changed into a prime (1003230310223) by changing a digit.

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, 1346015 + ... + 1954025.

It is an arithmetic number, because the mean of its divisors is an integer number (24361824816).

Almost surely, 21003230310220 is an apocalyptic number.

1003230310220 is a gapful number since it is divisible by the number (10) 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 1003230310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169367591168).

1003230310220 is an abundant number, since it is smaller than the sum of its proper divisors (1335504872116).

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

1003230310220 is a wasteful number, since it uses less digits than its factorization.

1003230310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608271 (or 608269 counting only the distinct ones).

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

Adding to 1003230310220 its reverse (220130323001), we get a palindrome (1223360633221).

The spelling of 1003230310220 in words is "one trillion, three billion, two hundred thirty million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 211 230 340 391 422 460 782 844 1055 1564 1955 2110 3587 3910 4220 4853 7174 7820 9706 14348 17935 19412 24265 35870 48530 71740 82501 97060 165002 330004 412505 608011 825010 1216022 1650020 2432044 3040055 6080110 10336187 12160220 13984253 20672374 27968506 41344748 51680935 55937012 69921265 103361870 128290321 139842530 206723740 237732301 256580642 279685060 475464602 513161284 641451605 950929204 1188661505 1282903210 2180935457 2377323010 2565806420 2950677383 4361870914 4754646020 5901354766 8723741828 10904677285 11802709532 14753386915 21809354570 29506773830 43618709140 50161515511 59013547660 100323031022 200646062044 250807577555 501615155110 1003230310220