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1330023114 = 2327291812011
BaseRepresentation
bin100111101000110…
…1000101011001010
310102200200011201100
41033101220223022
510210441214424
6335551002230
744650003260
oct11721505312
93380604640
101330023114
11622844062
12311509376
1318271a634
14c88d8430
157bb70dc9
hex4f468aca

1330023114 has 96 divisors (see below), whose sum is σ = 3427482240. Its totient is φ = 364694400.

The previous prime is 1330023109. The next prime is 1330023119. The reversal of 1330023114 is 4113200331.

It is an interprime number because it is at equal distance from previous prime (1330023109) and next prime (1330023119).

It is a super-2 number, since 2×13300231142 = 3537922967548513992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1330023119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660369 + ... + 662379.

It is an arithmetic number, because the mean of its divisors is an integer number (35702940).

Almost surely, 21330023114 is an apocalyptic number.

1330023114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330023114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713741120).

1330023114 is an abundant number, since it is smaller than the sum of its proper divisors (2097459126).

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

1330023114 is a wasteful number, since it uses less digits than its factorization.

1330023114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330023114 is about 36469.4819540942. The cubic root of 1330023114 is about 1099.7308195338.

Adding to 1330023114 its reverse (4113200331), we get a palindrome (5443223445).

The spelling of 1330023114 in words is "one billion, three hundred thirty million, twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 181 203 261 362 406 522 543 609 1086 1218 1267 1629 1827 2011 2534 3258 3654 3801 4022 5249 6033 7602 10498 11403 12066 14077 15747 18099 22806 28154 31494 36198 36743 42231 47241 58319 73486 84462 94482 110229 116638 126693 174957 220458 253386 330687 349914 363991 408233 524871 661374 727982 816466 1049742 1091973 1224699 2183946 2449398 2547937 3275919 3674097 5095874 6551838 7348194 7643811 10555739 15287622 21111478 22931433 31667217 45862866 63334434 73890173 95001651 147780346 190003302 221670519 443341038 665011557 1330023114