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103302000030 = 23519832279619
BaseRepresentation
bin110000000110101000…
…1110110110110011110
3100212122021221022202010
41200031101312312132
53143030303000110
6115242320212050
710314630340515
oct1401521666636
9325567838663
10103302000030
113a8a0316649
121802b76a026
139983942208
144ddd7db67c
152a49085020
hex180d476d9e

103302000030 has 128 divisors (see below), whose sum is σ = 265308825600. Its totient is φ = 25666671744.

The previous prime is 103302000019. The next prime is 103302000077. The reversal of 103302000030 is 30000203301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10734561 + ... + 10744179.

It is an arithmetic number, because the mean of its divisors is an integer number (2072725200).

Almost surely, 2103302000030 is an apocalyptic number.

103302000030 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 103302000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132654412800).

103302000030 is an abundant number, since it is smaller than the sum of its proper divisors (162006825570).

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

103302000030 is a wasteful number, since it uses less digits than its factorization.

103302000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 103302000030 its reverse (30000203301), we get a palindrome (133302203331).

The spelling of 103302000030 in words is "one hundred three billion, three hundred two million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 166 190 227 249 285 415 454 498 570 681 830 1135 1245 1362 1577 2270 2490 3154 3405 4313 4731 6810 7885 8626 9462 9619 12939 15770 18841 19238 21565 23655 25878 28857 37682 43130 47310 48095 56523 57714 64695 94205 96190 113046 129390 144285 182761 188410 282615 288570 357979 365522 548283 565230 715958 798377 913805 1073937 1096566 1596754 1789895 1827610 2147874 2183513 2395131 2741415 3579790 3991885 4367026 4790262 5369685 5482830 6550539 7983770 10739370 10917565 11975655 13101078 15169163 21835130 23951310 30338326 32752695 41486747 45507489 65505390 75845815 82973494 91014978 124460241 151691630 181231579 207433735 227537445 248920482 362463158 414867470 455074890 543694737 622301205 906157895 1087389474 1244602410 1812315790 2718473685 3443400001 5436947370 6886800002 10330200003 17217000005 20660400006 34434000010 51651000015 103302000030