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11322331101300 = 2235297655159393
BaseRepresentation
bin1010010011000010111110…
…0001011111100001110100
31111002101220201111012010110
42210300233201133201310
52441001113230220200
640025223533423020
72246003630300412
oct244605741374164
944071821435113
1011322331101300
11367585680912a
12132a41593aa70
136418ca871a6b
142b200a4062b2
151497be59ab50
hexa4c2f85f874

11322331101300 has 144 divisors (see below), whose sum is σ = 33102612047232. Its totient is φ = 2987655168000.

The previous prime is 11322331101293. The next prime is 11322331101307. The reversal of 11322331101300 is 310113322311.

It is a happy number.

11322331101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11322331101293) and next prime (11322331101307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322331101307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190604404 + ... + 190663796.

It is an arithmetic number, because the mean of its divisors is an integer number (229879250328).

Almost surely, 211322331101300 is an apocalyptic number.

11322331101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322331101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551306023616).

11322331101300 is an abundant number, since it is smaller than the sum of its proper divisors (21780280945932).

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

11322331101300 is a wasteful number, since it uses less digits than its factorization.

11322331101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66058 (or 66051 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11322331101300 its reverse (310113322311), we get a palindrome (11632444423611).

The spelling of 11322331101300 in words is "eleven trillion, three hundred twenty-two billion, three hundred thirty-one million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 6551 7275 9700 13102 14550 19653 26204 29100 32755 39306 59393 65510 78612 98265 118786 131020 163775 178179 196530 237572 296965 327550 356358 393060 491325 593930 635447 655100 712716 890895 982650 1187860 1270894 1484825 1781790 1906341 1965300 2541788 2969650 3177235 3563580 3812682 4454475 5761121 5939300 6354470 7625364 8908950 9531705 11522242 12708940 15886175 17283363 17817900 19063410 23044484 28805605 31772350 34566726 38126820 47658525 57611210 63544700 69133452 86416815 95317050 115222420 144028025 172833630 190634100 288056050 345667260 389083543 432084075 576112100 778167086 864168150 1167250629 1556334172 1728336300 1945417715 2334501258 3890835430 4669002516 5836253145 7781670860 9727088575 11672506290 19454177150 23345012580 29181265725 37741103671 38908354300 58362531450 75482207342 113223311013 116725062900 150964414684 188705518355 226446622026 377411036710 452893244052 566116555065 754822073420 943527591775 1132233110130 1887055183550 2264466220260 2830582775325 3774110367100 5661165550650 11322331101300