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2010022101120 = 27351195171501
BaseRepresentation
bin11101001111111110101…
…001110100000010000000
321010011012220012100010110
4131033332221310002000
5230413011124213440
64135220313231320
7265135135646535
oct35177651640200
97104186170113
102010022101120
1170549a090790
12285680402540
1311770c9bc417
146d3dd926d8c
1537442ca4080
hex1d3fea74080

2010022101120 has 128 divisors (see below), whose sum is σ = 6989395106880. Its totient is φ = 487278080000.

The previous prime is 2010022101103. The next prime is 2010022101133. The reversal of 2010022101120 is 211012200102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010022101096 and 2010022101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47564631 + ... + 47606870.

Almost surely, 22010022101120 is an apocalyptic number.

2010022101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010022101120 is an abundant number, since it is smaller than the sum of its proper divisors (4979373005760).

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

2010022101120 is a wasteful number, since it uses less digits than its factorization.

2010022101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95171534 (or 95171522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2010022101120 its reverse (211012200102), we get a palindrome (2221034301222).

The spelling of 2010022101120 in words is "two trillion, ten billion, twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 95171501 190343002 285514503 380686004 475857505 571029006 761372008 951715010 1046886511 1142058012 1427572515 1522744016 1903430020 2093773022 2284116024 2855145030 3045488032 3140659533 3806860040 4187546044 4568232048 5234432555 5710290060 6090976064 6281319066 7613720080 8375092088 9136464096 10468865110 11420580120 12181952128 12562638132 15227440160 15703297665 16750184176 18272928192 20937730220 22841160240 25125276264 30454880320 31406595330 33500368352 36545856384 41875460440 45682320480 50250552528 60909760640 62813190660 67000736704 83750920880 91364640960 100501105056 125626381320 134001473408 167501841760 182729281920 201002210112 251252762640 335003683520 402004420224 502505525280 670007367040 1005011050560 2010022101120