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11332320441020 = 2252926796710399
BaseRepresentation
bin1010010011101000001011…
…1011110011001010111100
31111010100200220012020002122
42210322002323303022330
52441132043013103040
640033555055542112
72246506315263005
oct244720273631274
944110626166078
1011332320441020
11367a012501997
12133034322a938
13642830298c77
142b26b6d921ac
15149ba65501b5
hexa4e82ef32bc

11332320441020 has 144 divisors (see below), whose sum is σ = 25042925107200. Its totient is φ = 4306425032448.

The previous prime is 11332320440999. The next prime is 11332320441037. The reversal of 11332320441020 is 2014402323311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089745781 + ... + 1089756179.

Almost surely, 211332320441020 is an apocalyptic number.

11332320441020 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 11332320441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521462553600).

11332320441020 is an abundant number, since it is smaller than the sum of its proper divisors (13710604666180).

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

11332320441020 is a wasteful number, since it uses less digits than its factorization.

11332320441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11332320441020 its reverse (2014402323311), we get a palindrome (13346722764331).

The spelling of 11332320441020 in words is "eleven trillion, three hundred thirty-two billion, three hundred twenty million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 841 967 1340 1682 1934 1943 3364 3868 3886 4205 4835 7772 8410 9670 9715 10399 16820 19340 19430 20798 28043 38860 41596 51995 56086 56347 64789 103990 112172 112694 129578 140215 207980 225388 259156 280430 281735 301571 323945 560860 563470 603142 647890 696733 813247 1126940 1206284 1295780 1393466 1507855 1626494 1878881 2786932 3015710 3252988 3483665 3757762 4066235 6031420 6967330 7515524 8132470 8745559 9394405 10055833 13934660 16264940 17491118 18788810 20111666 20205257 34982236 37577620 40223332 40410514 43727795 50279165 54487549 80821028 87455590 100558330 101026285 108975098 174911180 201116660 202052570 217950196 272437745 291619157 404105140 544875490 583238314 585952453 673740811 1089750980 1166476628 1171904906 1347481622 1458095785 2343809812 2694963244 2916191570 2929762265 3368704055 5832383140 5859524530 6737408110 8456955553 11719049060 13474816220 16913911106 19538483519 33827822212 39076967038 42284777765 78153934076 84569555530 97692417595 169139111060 195384835190 390769670380 566616022051 1133232044102 2266464088204 2833080110255 5666160220510 11332320441020