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2133231132120 = 2335119371724743
BaseRepresentation
bin11111000010101110011…
…110111101110111011000
321112221020112201121120220
4133002232132331313120
5234422324132211440
64311554242320040
7310056312304464
oct37025636756730
97487215647526
102133231132120
117527753a7340
122a5526959020
13126216987aaa
147536b1294a4
153a75483d8d0
hex1f0ae7bddd8

2133231132120 has 128 divisors (see below), whose sum is σ = 6988938647040. Its totient is φ = 516594723840.

The previous prime is 2133231132077. The next prime is 2133231132121. The reversal of 2133231132120 is 212311323312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133231132121) 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, 374469 + ... + 2099211.

It is an arithmetic number, because the mean of its divisors is an integer number (54601083180).

Almost surely, 22133231132120 is an apocalyptic number.

2133231132120 is a gapful number since it is divisible by the number (20) 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 2133231132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494469323520).

2133231132120 is an abundant number, since it is smaller than the sum of its proper divisors (4855707514920).

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

2133231132120 is a wasteful number, since it uses less digits than its factorization.

2133231132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725705 (or 1725701 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2133231132120 its reverse (212311323312), we get a palindrome (2345542455432).

The spelling of 2133231132120 in words is "two trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 937 1320 1874 2811 3748 4685 5622 7496 9370 10307 11244 14055 18740 20614 22488 28110 30921 37480 41228 51535 56220 61842 82456 103070 112440 123684 154605 206140 247368 309210 412280 618420 1236840 1724743 3449486 5174229 6898972 8623715 10348458 13797944 17247430 18972173 20696916 25871145 34494860 37944346 41393832 51742290 56916519 68989720 75888692 94860865 103484580 113833038 151777384 189721730 206969160 227666076 284582595 379443460 455332152 569165190 758886920 1138330380 1616084191 2276660760 3232168382 4848252573 6464336764 8080420955 9696505146 12928673528 16160841910 17776926101 19393010292 24241262865 32321683820 35553852202 38786020584 48482525730 53330778303 64643367640 71107704404 88884630505 96965051460 106661556606 142215408808 177769261010 193930102920 213323113212 266653891515 355538522020 426646226424 533307783030 711077044040 1066615566060 2133231132120