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100003002330 = 235711313138311
BaseRepresentation
bin101110100100010100…
…1001011011111011010
3100120010101021212200010
41131020221023133122
53114301232033310
6113535111222350
710140111331440
oct1351051133732
9316111255603
10100003002330
11394580a6870
121746a9779b6
13957932117a
144ba9602b90
15290462e320
hex1748a4b7da

100003002330 has 128 divisors (see below), whose sum is σ = 300187938816. Its totient is φ = 20713305600.

The previous prime is 100003002317. The next prime is 100003002343. The reversal of 100003002330 is 33200300001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100003002317) and next prime (100003002343).

It is a Curzon number.

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, 653875 + ... + 792185.

It is an arithmetic number, because the mean of its divisors is an integer number (2345218272).

Almost surely, 2100003002330 is an apocalyptic number.

100003002330 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 100003002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150093969408).

100003002330 is an abundant number, since it is smaller than the sum of its proper divisors (200184936486).

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

100003002330 is a wasteful number, since it uses less digits than its factorization.

100003002330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138652.

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

Adding to 100003002330 its reverse (33200300001), we get a palindrome (133203302331).

The spelling of 100003002330 in words is "one hundred billion, three million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 313 330 385 462 626 770 939 1155 1565 1878 2191 2310 3130 3443 4382 4695 6573 6886 9390 10329 10955 13146 17215 20658 21910 24101 32865 34430 48202 51645 65730 72303 103290 120505 138311 144606 241010 276622 361515 414933 691555 723030 829866 968177 1383110 1521421 1936354 2074665 2904531 3042842 4149330 4564263 4840885 5809062 7607105 9128526 9681770 10649947 14522655 15214210 21299894 22821315 29045310 31949841 43291343 45642630 53249735 63899682 86582686 106499470 129874029 159749205 216456715 259748058 303039401 319498410 432913430 476204773 606078802 649370145 909118203 952409546 1298740290 1428614319 1515197005 1818236406 2381023865 2857228638 3030394010 3333433411 4545591015 4762047730 6666866822 7143071595 9091182030 10000300233 14286143190 16667167055 20000600466 33334334110 50001501165 100003002330