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2132303001120 = 253254731505659
BaseRepresentation
bin11111000001110111001…
…010011011011000100000
321112211211212021200012200
4133001313022123120200
5234413424032013440
64311322205253200
7310024312313265
oct37016712333040
97484755250180
102132303001120
11752339500826
122a5307b64200
131260c95c2056
14752bdb6926c
153a6ed106c30
hex1f07729b620

2132303001120 has 144 divisors (see below), whose sum is σ = 7431303035520. Its totient is φ = 556515942912.

The previous prime is 2132303001113. The next prime is 2132303001131. The reversal of 2132303001120 is 211003032312.

2132303001120 is a `hidden beast` number, since 2 + 13 + 230 + 300 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132303001093 and 2132303001102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15685150 + ... + 15820509.

It is an arithmetic number, because the mean of its divisors is an integer number (51606271080).

Almost surely, 22132303001120 is an apocalyptic number.

2132303001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132303001120 is an abundant number, since it is smaller than the sum of its proper divisors (5299000034400).

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

2132303001120 is a wasteful number, since it uses less digits than its factorization.

2132303001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31505727 (or 31505716 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2132303001120 its reverse (211003032312), we get a palindrome (2343306033432).

The spelling of 2132303001120 in words is "two trillion, one hundred thirty-two billion, three hundred three million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3760 4230 4512 5640 6768 7520 8460 11280 13536 16920 22560 33840 67680 31505659 63011318 94516977 126022636 157528295 189033954 252045272 283550931 315056590 378067908 472584885 504090544 567101862 630113180 756135816 945169770 1008181088 1134203724 1260226360 1417754655 1480765973 1512271632 1890339540 2268407448 2520452720 2835509310 2961531946 3024543264 3780679080 4442297919 4536814896 5040905440 5671018620 5923063892 7403829865 7561358160 8884595838 9073629792 11342037240 11846127784 13326893757 14807659730 15122716320 17769191676 22211489595 22684074480 23692255568 26653787514 29615319460 35538383352 44422979190 45368148960 47384511136 53307575028 59230638920 66634468785 71076766704 88845958380 106615150056 118461277840 133268937570 142153533408 177691916760 213230300112 236922555680 266537875140 355383833520 426460600224 533075750280 710767667040 1066151500560 2132303001120