Search a number
-
+
1113313311330 = 2351171911094231
BaseRepresentation
bin10000001100110110101…
…001001111101001100010
310221102122201102001112120
4100030312221033221202
5121220031201430310
62211241000005110
7143301641002203
oct20146651175142
93842581361476
101113313311330
1139a176381930
1215b926460796
1380ca605889c
143bc556ad5aa
151de5e690b70
hex10336a4fa62

1113313311330 has 128 divisors (see below), whose sum is σ = 2922233241600. Its totient is φ = 269212089600.

The previous prime is 1113313311301. The next prime is 1113313311343. The reversal of 1113313311330 is 331133133111.

It is a self number, because there is not a number n which added to its sum of digits gives 1113313311330.

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, 263130315 + ... + 263134545.

It is an arithmetic number, because the mean of its divisors is an integer number (22829947200).

Almost surely, 21113313311330 is an apocalyptic number.

1113313311330 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 1113313311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461116620800).

1113313311330 is an abundant number, since it is smaller than the sum of its proper divisors (1808919930270).

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

1113313311330 is a wasteful number, since it uses less digits than its factorization.

1113313311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 1113313311330 its reverse (331133133111), we get a palindrome (1444446444441).

The spelling of 1113313311330 in words is "one trillion, one hundred thirteen billion, three hundred thirteen million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 719 1109 1438 2157 2218 3327 3595 4231 4314 5545 6654 7190 7909 8462 10785 11090 12199 12693 15818 16635 21155 21570 23727 24398 25386 33270 36597 39545 42310 46541 47454 60995 63465 73194 79090 93082 118635 121990 126930 139623 182985 232705 237270 279246 365970 465410 698115 797371 1396230 1594742 2392113 3042089 3986855 4692179 4784226 6084178 7973710 8771081 9126267 9384358 11960565 14076537 15210445 17542162 18252534 23460895 23921130 26313243 28153074 30420890 33462979 43855405 45631335 46921790 51613969 52626486 66925958 70382685 87710810 91262670 100388937 103227938 131566215 140765370 154841907 167314895 200777874 258069845 263132430 309683814 334629790 501944685 516139690 774209535 1003889370 1548419070 3373676701 6747353402 10121030103 16868383505 20242060206 33736767010 37110443711 50605150515 74220887422 101210301030 111331331133 185552218555 222662662266 371104437110 556656655665 1113313311330