Search a number
-
+
21201110110008 = 2332719742755897
BaseRepresentation
bin1001101001000010001001…
…01000110000111100111000
32210001210202211001001021200
410310201010220300330320
510234324333142010013
6113031353332134200
74315505162346153
oct464410450607470
983053684031250
1021201110110008
116834381a44214
122464b00a67360
13baa34387c06a
145341d3d96c9a
1526b752252e73
hex134844a30f38

21201110110008 has 96 divisors (see below), whose sum is σ = 58828695176160. Its totient is φ = 6895670906880.

The previous prime is 21201110110007. The next prime is 21201110110009. The reversal of 21201110110008 is 80001101110212.

It is an interprime number because it is at equal distance from previous prime (21201110110007) and next prime (21201110110009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201110110007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20882085 + ... + 21873812.

It is an arithmetic number, because the mean of its divisors is an integer number (612798908085).

Almost surely, 221201110110008 is an apocalyptic number.

It is an amenable number.

21201110110008 is an abundant number, since it is smaller than the sum of its proper divisors (37627585066152).

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

21201110110008 is a wasteful number, since it uses less digits than its factorization.

21201110110008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42756077 (or 42756070 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 21201110110008 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, one hundred ten thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 97 142 194 213 284 291 388 426 568 582 639 776 852 873 1164 1278 1704 1746 2328 2556 3492 5112 6887 6984 13774 20661 27548 41322 55096 61983 82644 123966 165288 247932 495864 42755897 85511794 128267691 171023588 256535382 342047176 384803073 513070764 769606146 1026141528 1539212292 3035668687 3078424584 4147322009 6071337374 8294644018 9107006061 12142674748 12441966027 16589288036 18214012122 24285349496 24883932054 27321018183 33178576072 36428024244 37325898081 49767864108 54642036366 72856048488 74651796162 99535728216 109284072732 149303592324 218568145464 294459862639 298607184648 588919725278 883379587917 1177839450556 1766759175834 2355678901112 2650138763751 3533518351668 5300277527502 7067036703336 10600555055004 21201110110008