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132131112123120 = 243511159227314329
BaseRepresentation
bin11110000010110000101100…
…000000000111101011110000
3122022211121111101110002110220
4132002300230000013223300
5114304314004200414440
61145004110034453040
736555105063651405
oct3602605400075360
9568747441402426
10132131112123120
1139112543162760
121299ba8a134180
135895bab227aa6
14248b273ad02ac
151042077d678d0
hex782c2c007af0

132131112123120 has 160 divisors (see below), whose sum is σ = 446847625278720. Its totient is φ = 32031481681920.

The previous prime is 132131112123107. The next prime is 132131112123139. The reversal of 132131112123120 is 21321211131231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420202116 + ... + 420516444.

It is an arithmetic number, because the mean of its divisors is an integer number (2792797657992).

Almost surely, 2132131112123120 is an apocalyptic number.

132131112123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131112123120 is an abundant number, since it is smaller than the sum of its proper divisors (314716513155600).

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

132131112123120 is a wasteful number, since it uses less digits than its factorization.

132131112123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473583 (or 473577 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 132131112123120 its reverse (21321211131231), we get a palindrome (153452323254351).

It can be divided in two parts, 1321311 and 12123120, that added together give a palindrome (13444431).

The spelling of 132131112123120 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, one hundred twelve million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 159227 314329 318454 477681 628658 636908 796135 942987 955362 1257316 1273816 1571645 1592270 1751497 1885974 1910724 2388405 2514632 2547632 3143290 3184540 3457619 3502994 3771948 3821448 4714935 4776810 5029264 5254491 6286580 6369080 6915238 7005988 7543896 7642896 8757485 9429870 9553620 10372857 10508982 12573160 12738160 13830476 14011976 15087792 17288095 17514970 18859740 19107240 20745714 21017964 25146320 26272455 27660952 28023952 34576190 35029940 37719480 38214480 41491428 42035928 51864285 52544910 55321904 69152380 70059880 75438960 82982856 84071856 103728570 105089820 138304760 140119760 165965712 207457140 210179640 276609520 414914280 420359280 829828560 50049663683 100099327366 150148991049 200198654732 250248318415 300297982098 400397309464 500496636830 550546300513 600595964196 750744955245 800794618928 1000993273660 1101092601026 1201191928392 1501489910490 1651638901539 2001986547320 2202185202052 2402383856784 2752731502565 3002979820980 3303277803078 4003973094640 4404370404104 5505463005130 6005959641960 6606555606156 8258194507695 8808740808208 11010926010260 12011919283920 13213111212312 16516389015390 22021852020520 26426222424624 33032778030780 44043704041040 66065556061560 132131112123120