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2154330353340 = 22325119689112297
BaseRepresentation
bin11111010110011000000…
…110000110111010111100
321121221200222122002212200
4133112120012012322330
5240244032032301330
64325404040031500
7311434212602124
oct37263006067274
97557628562780
102154330353340
11760712359550
122a9634a62590
131281c9ccca89
14763ad3c9c84
153b08bd39a60
hex1f598186ebc

2154330353340 has 144 divisors (see below), whose sum is σ = 7129674246240. Its totient is φ = 522203351040.

The previous prime is 2154330353339. The next prime is 2154330353359. The reversal of 2154330353340 is 433530334512.

2154330353340 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 3 + 303 + 5 + 3 + 340 = 666.

It is a super-3 number, since 3×21543303533403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2154330353295 and 2154330353304.

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, 19128072 + ... + 19240368.

It is an arithmetic number, because the mean of its divisors is an integer number (49511626710).

Almost surely, 22154330353340 is an apocalyptic number.

2154330353340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154330353340 is an abundant number, since it is smaller than the sum of its proper divisors (4975343892900).

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

2154330353340 is a wasteful number, since it uses less digits than its factorization.

2154330353340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122012 (or 122007 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 2154330353340 its reverse (433530334512), we get a palindrome (2587860687852).

The spelling of 2154330353340 in words is "two trillion, one hundred fifty-four billion, three hundred thirty million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 9689 19378 29067 38756 48445 58134 87201 96890 106579 112297 116268 145335 174402 193780 213158 224594 290670 319737 336891 348804 426316 436005 449188 532895 561485 581340 639474 673782 872010 959211 1010673 1065790 1122970 1235267 1278948 1347564 1598685 1684455 1744020 1918422 2021346 2131580 2245940 2470534 3197370 3368910 3705801 3836844 4042692 4796055 4941068 5053365 6176335 6394740 6737820 7411602 9592110 10106730 11117403 12352670 14823204 18529005 19184220 20213460 22234806 24705340 37058010 44469612 55587015 74116020 111174030 222348060 1088045633 2176091266 3264136899 4352182532 5440228165 6528273798 9792410697 10880456330 11968501963 13056547596 16320684495 19584821394 21760912660 23937003926 32641368990 35905505889 39169642788 47874007852 48962053485 59842509815 65282737980 71811011778 97924106970 107716517667 119685019630 143622023556 179527529445 195848213940 215433035334 239370039260 359055058890 430866070668 538582588335 718110117780 1077165176670 2154330353340