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1002323311230 = 2354119731713049
BaseRepresentation
bin11101001010111110001…
…11111111101001111110
310112211011122010212100010
432211133013333221332
5112410224231424410
62044243323044050
7132262335400113
oct16453707775176
93484148125303
101002323311230
113570a041901a
12142310070626
1373698713307
1436726c2290a
151b1156dec20
hexe95f1ffa7e

1002323311230 has 128 divisors (see below), whose sum is σ = 2484760924800. Its totient is φ = 258605096960.

The previous prime is 1002323311211. The next prime is 1002323311237. The reversal of 1002323311230 is 321133232001.

It is a super-2 number, since 2×10023233112302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002323311197 and 1002323311206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002323311237) 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, 76805746 + ... + 76818794.

It is an arithmetic number, because the mean of its divisors is an integer number (19412194725).

Almost surely, 21002323311230 is an apocalyptic number.

1002323311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002323311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242380462400).

1002323311230 is an abundant number, since it is smaller than the sum of its proper divisors (1482437613570).

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

1002323311230 is a wasteful number, since it uses less digits than its factorization.

1002323311230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1002323311230 its reverse (321133232001), we get a palindrome (1323456543231).

The spelling of 1002323311230 in words is "one trillion, two billion, three hundred twenty-three million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 197 205 246 317 394 410 591 615 634 951 985 1182 1230 1585 1902 1970 2955 3170 4755 5910 8077 9510 12997 13049 16154 24231 25994 26098 38991 39147 40385 48462 62449 64985 65245 77982 78294 80770 121155 124898 129970 130490 187347 194955 195735 242310 312245 374694 389910 391470 535009 624490 936735 1070018 1605027 1873470 2560409 2570653 2675045 3210054 4136533 5120818 5141306 5350090 7681227 7711959 8025135 8273066 12409599 12802045 12853265 15362454 15423918 16050270 20682665 24819198 25604090 25706530 38406135 38559795 41365330 62047995 76812270 77119590 105396773 124095990 169597853 210793546 316190319 339195706 508793559 526983865 632380638 814897001 847989265 1017587118 1053967730 1580951595 1629794002 1695978530 2444691003 2543967795 3161903190 4074485005 4889382006 5087935590 8148970010 12223455015 24446910030 33410777041 66821554082 100232331123 167053885205 200464662246 334107770410 501161655615 1002323311230