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103301130330 = 23354713016257
BaseRepresentation
bin110000000110100111…
…0100010100001011010
3100212122020022010202000
41200031032202201122
53143030042132310
6115242245421430
710314620056116
oct1401516424132
9325566263660
10103301130330
113a89a882192
121802b40a876
1399836c93b8
144ddd652746
152a48e624c0
hex180d3a285a

103301130330 has 128 divisors (see below), whose sum is σ = 281591976960. Its totient is φ = 26935833600.

The previous prime is 103301130311. The next prime is 103301130349. The reversal of 103301130330 is 33031103301.

103301130330 is a `hidden beast` number, since 1 + 0 + 3 + 301 + 1 + 30 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (103301130311) and next prime (103301130349).

It is a super-2 number, since 2×1033011303302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16506562 + ... + 16512818.

It is an arithmetic number, because the mean of its divisors is an integer number (2199937320).

Almost surely, 2103301130330 is an apocalyptic number.

103301130330 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 103301130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140795988480).

103301130330 is an abundant number, since it is smaller than the sum of its proper divisors (178290846630).

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

103301130330 is a wasteful number, since it uses less digits than its factorization.

103301130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103301130330 its reverse (33031103301), we get a palindrome (136332233631).

The spelling of 103301130330 in words is "one hundred three billion, three hundred one million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1301 1410 2115 2538 2602 3903 4230 6257 6345 6505 7806 11709 12514 12690 13010 18771 19515 23418 31285 35127 37542 39030 56313 58545 61147 62570 70254 93855 112626 117090 122294 168939 175635 183441 187710 281565 294079 305735 337878 351270 366882 550323 563130 588158 611470 844695 882237 917205 1100646 1470395 1650969 1689390 1764474 1834410 2646711 2751615 2940790 3301938 4411185 5293422 5503230 7940133 8140357 8254845 8822370 13233555 15880266 16280714 16509690 24421071 26467110 39700665 40701785 48842142 73263213 79401330 81403570 122105355 146526426 219789639 244210710 366316065 382596779 439579278 732632130 765193558 1098948195 1147790337 1912983895 2197896390 2295580674 3443371011 3825967790 5738951685 6886742022 10330113033 11477903370 17216855055 20660226066 34433710110 51650565165 103301130330