Search a number
-
+
11003201303100 = 2235239792386241
BaseRepresentation
bin1010000000011110000111…
…1001111011001000111100
31102221220012000110201120220
42200013201321323020330
52420234024013144400
635222444554341340
72213645404621446
oct240074171731074
942856160421526
1011003201303100
113562482312356
1212985b1a2a850
1361a79c72aa46
142a07b47bd496
151413427637a0
hexa01e1e7b23c

11003201303100 has 72 divisors (see below), whose sum is σ = 31916120706288. Its totient is φ = 2926796083200.

The previous prime is 11003201303011. The next prime is 11003201303167. The reversal of 11003201303100 is 130310230011.

It is a super-4 number, since 4×110032013031004 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11003201303100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46074021 + ... + 46312220.

It is an arithmetic number, because the mean of its divisors is an integer number (443279454254).

Almost surely, 211003201303100 is an apocalyptic number.

11003201303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003201303100 is an abundant number, since it is smaller than the sum of its proper divisors (20912919403188).

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

11003201303100 is a wasteful number, since it uses less digits than its factorization.

11003201303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92386655 (or 92386648 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11003201303100 its reverse (130310230011), we get a palindrome (11133511533111).

The spelling of 11003201303100 in words is "eleven trillion, three billion, two hundred one million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 397 794 1191 1588 1985 2382 3970 4764 5955 7940 9925 11910 19850 23820 29775 39700 59550 119100 92386241 184772482 277158723 369544964 461931205 554317446 923862410 1108634892 1385793615 1847724820 2309656025 2771587230 4619312050 5543174460 6928968075 9238624100 13857936150 27715872300 36677337677 73354675354 110032013031 146709350708 183386688385 220064026062 366773376770 440128052124 550160065155 733546753540 916933441925 1100320130310 1833866883850 2200640260620 2750800325775 3667733767700 5501600651550 11003201303100