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132412332310120 = 23579313147191009
BaseRepresentation
bin11110000110110110100110…
…000001111111111001101000
3122100211111101002211202212101
4132012312212001333321220
5114323420424032410440
61145341215151223144
736614322014053462
oct3606664601777150
9570744332752771
10132412332310120
1139210833674545
1212a26492217ab4
1358b65773c07c5
14249ab10a13132
15104953698269a
hex786da607fe68

132412332310120 has 128 divisors (see below), whose sum is σ = 302871960576000. Its totient is φ = 52091406581760.

The previous prime is 132412332310073. The next prime is 132412332310123. The reversal of 132412332310120 is 21013233214231.

It is not an unprimeable number, because it can be changed into a prime (132412332310123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454891176 + ... + 1454982184.

It is an arithmetic number, because the mean of its divisors is an integer number (2366187192000).

Almost surely, 2132412332310120 is an apocalyptic number.

132412332310120 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 132412332310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151435980288000).

132412332310120 is an abundant number, since it is smaller than the sum of its proper divisors (170459628265880).

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

132412332310120 is a wasteful number, since it uses less digits than its factorization.

132412332310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92883 (or 92879 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132412332310120 its reverse (21013233214231), we get a palindrome (153425565524351).

The spelling of 132412332310120 in words is "one hundred thirty-two trillion, four hundred twelve billion, three hundred thirty-two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 313 316 395 626 632 790 1252 1471 1565 1580 2504 2942 3130 3160 5884 6260 7355 11768 12520 14710 24727 29420 49454 58840 91009 98908 116209 123635 182018 197816 232418 247270 364036 455045 460423 464836 494540 581045 728072 910090 920846 929672 989080 1162090 1820180 1841692 2302115 2324180 3640360 3683384 4604230 4648360 7189711 9208460 14379422 18416920 28485817 28758844 35948555 36373417 56971634 57517688 71897110 72746834 113943268 133874239 142429085 143794220 145493668 181867085 227886536 267748478 284858170 287588440 290987336 363734170 535496956 569716340 669371195 727468340 1070993912 1139432680 1338742390 1454936680 2250379543 2677484780 4500759086 5354969560 9001518172 10576064881 11251897715 18003036344 21152129762 22503795430 41902636807 42304259524 45007590860 52880324405 83805273614 84608519048 90015181720 105760648810 167610547228 209513184035 211521297620 335221094456 419026368070 423042595240 838052736140 1676105472280 3310308307753 6620616615506 13241233231012 16551541538765 26482466462024 33103083077530 66206166155060 132412332310120