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133021011044340 = 223256432219351787
BaseRepresentation
bin11110001111101101011110…
…000111000110011111110100
3122102222200110222021012120100
4132033231132013012133310
5114413404012311404330
61150525001525034100
740006310441662566
oct3617553607063764
9572880428235510
10133021011044340
113942599197a561
1212b04443555930
13592ba9b095bb3
1424bc373761336
15105a2ad6bc060
hex78fb5e1c67f4

133021011044340 has 144 divisors (see below), whose sum is σ = 404150602984128. Its totient is φ = 35414823048192.

The previous prime is 133021011044323. The next prime is 133021011044359. The reversal of 133021011044340 is 43440110120331.

133021011044340 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 210 + 1 + 1 + 0 + 443 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568591927 + ... + 2568643713.

It is an arithmetic number, because the mean of its divisors is an integer number (2806601409612).

Almost surely, 2133021011044340 is an apocalyptic number.

133021011044340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133021011044340 is an abundant number, since it is smaller than the sum of its proper divisors (271129591939788).

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

133021011044340 is a wasteful number, since it uses less digits than its factorization.

133021011044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74638 (or 74633 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133021011044340 its reverse (43440110120331), we get a palindrome (176461121164671).

The spelling of 133021011044340 in words is "one hundred thirty-three trillion, twenty-one billion, eleven million, forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 643 1286 1929 2572 3215 3858 5787 6430 7716 9645 11574 12860 19290 22193 23148 28935 38580 44386 51787 57870 66579 88772 103574 110965 115740 133158 155361 199737 207148 221930 258935 266316 310722 332895 399474 443860 466083 517870 621444 665790 776805 798948 932166 998685 1035740 1331580 1553610 1864332 1997370 2330415 3107220 3994740 4660830 9321660 14270099 28540198 33299041 42810297 57080396 66598082 71350495 85620594 99897123 128430891 133196164 142700990 166495205 171241188 199794246 214051485 256861782 285401980 299691369 332990410 399588492 428102970 499485615 513723564 599382738 642154455 665980820 856205940 998971230 1149308891 1198765476 1284308910 1498456845 1997942460 2298617782 2568617820 2996913690 3447926673 4597235564 5746544455 5993827380 6895853346 10343780019 11493088910 13791706692 17239633365 20687560038 22986177820 34479266730 41375120076 51718900095 68958533460 103437800190 206875600380 739005616913 1478011233826 2217016850739 2956022467652 3695028084565 4434033701478 6651050552217 7390056169130 8868067402956 11085084253695 13302101104434 14780112338260 22170168507390 26604202208868 33255252761085 44340337014780 66510505522170 133021011044340