Search a number
-
+
331341000030 = 2355501127211
BaseRepresentation
bin1001101001001010111…
…01100110110101011110
31011200020201112210100000
410310211131212311132
520412041244000110
6412114351315130
732636640013305
oct4644535466536
91150221483300
10331341000030
111185803a1517
125427151baa6
1325325c85741
141207370143c
158943dc61c0
hex4d25766d5e

331341000030 has 96 divisors (see below), whose sum is σ = 893604636288. Its totient is φ = 88336720800.

The previous prime is 331340999999. The next prime is 331341000043. The reversal of 331341000030 is 30000143133.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331340999967 and 331341000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12163125 + ... + 12190335.

It is an arithmetic number, because the mean of its divisors is an integer number (9308381628).

Almost surely, 2331341000030 is an apocalyptic number.

331341000030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331341000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446802318144).

331341000030 is an abundant number, since it is smaller than the sum of its proper divisors (562263636258).

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

331341000030 is a wasteful number, since it uses less digits than its factorization.

331341000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32244 (or 32232 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331341000030 its reverse (30000143133), we get a palindrome (361341143163).

The spelling of 331341000030 in words is "three hundred thirty-one billion, three hundred forty-one million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5011 10022 15033 25055 27211 30066 45099 50110 54422 75165 81633 90198 135297 136055 150330 163266 225495 244899 270594 272110 405891 408165 450990 489798 676485 734697 811782 816330 1217673 1224495 1352970 1469394 2029455 2204091 2435346 2448990 3673485 4058910 4408182 6088365 6612273 7346970 11020455 12176730 13224546 22040910 33061365 66122730 136354321 272708642 409062963 681771605 818125926 1227188889 1363543210 2045314815 2454377778 3681566667 4090629630 6135944445 7363133334 11044700001 12271888890 18407833335 22089400002 33134100003 36815666670 55223500005 66268200006 110447000010 165670500015 331341000030