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132122043441300 = 2235211237716843493
BaseRepresentation
bin11110000010101000001111…
…011101110110000010010100
3122022210202002101010022201110
4132002220033131312002110
5114304141421110110200
61145000010121255020
736554334255303663
oct3602501735660224
9568722071108643
10132122043441300
113910970a1208a0
121299a179034470
13589509447ac83
14248aa5351adda
151041be6b20b50
hex782a0f776094

132122043441300 has 144 divisors (see below), whose sum is σ = 417200680072512. Its totient is φ = 32016109593600.

The previous prime is 132122043441263. The next prime is 132122043441341. The reversal of 132122043441300 is 3144340221231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 577647 + ... + 16265846.

It is an arithmetic number, because the mean of its divisors is an integer number (2897226944948).

Almost surely, 2132122043441300 is an apocalyptic number.

132122043441300 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 132122043441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208600340036256).

132122043441300 is an abundant number, since it is smaller than the sum of its proper divisors (285078636631212).

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

132122043441300 is a wasteful number, since it uses less digits than its factorization.

132122043441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16845898 (or 16845891 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132122043441300 its reverse (3144340221231), we get a palindrome (135266383662531).

The spelling of 132122043441300 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, forty-three million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2377 3300 4754 7131 9508 11885 14262 23770 26147 28524 35655 47540 52294 59425 71310 78441 104588 118850 130735 142620 156882 178275 237700 261470 313764 356550 392205 522940 653675 713100 784410 1307350 1568820 1961025 2614700 3922050 7844100 16843493 33686986 50530479 67373972 84217465 101060958 168434930 185278423 202121916 252652395 336869860 370556846 421087325 505304790 555835269 741113692 842174650 926392115 1010609580 1111670538 1263261975 1684349300 1852784230 2223341076 2526523950 2779176345 3705568460 4631960575 5053047900 5558352690 9263921150 11116705380 13895881725 18527842300 27791763450 40036982861 55583526900 80073965722 120110948583 160147931444 200184914305 240221897166 400369828610 440406811471 480443794332 600554742915 800739657220 880813622942 1000924571525 1201109485830 1321220434413 1761627245884 2001849143050 2202034057355 2402218971660 2642440868826 3002773714575 4003698286100 4404068114710 5284881737652 6005547429150 6606102172065 8808136229420 11010170286775 12011094858300 13212204344130 22020340573550 26424408688260 33030510860325 44040681147100 66061021720650 132122043441300