Search a number
-
+
21311015542401 = 31317231149409349
BaseRepresentation
bin1001101100001110110111…
…00000101101111010000001
32210110022110022111111021210
410312013123200231322001
510243124424434324101
6113154051223040333
74326445555201254
oct466073340557201
983408408444253
1021311015542401
116876a50773282
122482273ba00a9
13bb780a5b7cb0
1453965c7a109b
1526e535dba7d6
hex1361db82de81

21311015542401 has 96 divisors (see below), whose sum is σ = 33780216960000. Its totient is φ = 11864673423360.

The previous prime is 21311015542393. The next prime is 21311015542489. The reversal of 21311015542401 is 10424551011312.

It is not a de Polignac number, because 21311015542401 - 23 = 21311015542393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21311015542001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51856075 + ... + 52265423.

It is an arithmetic number, because the mean of its divisors is an integer number (351877260000).

Almost surely, 221311015542401 is an apocalyptic number.

It is an amenable number.

21311015542401 is a deficient number, since it is larger than the sum of its proper divisors (12469201417599).

21311015542401 is a wasteful number, since it uses less digits than its factorization.

21311015542401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409579 (or 409562 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 21311015542401 its reverse (10424551011312), we get a palindrome (31735566553713).

The spelling of 21311015542401 in words is "twenty-one trillion, three hundred eleven billion, fifteen million, five hundred forty-two thousand, four hundred one".

Divisors: 1 3 13 17 31 39 51 93 149 221 289 403 447 527 663 867 1209 1581 1937 2533 3757 4619 5811 6851 7599 8959 11271 13857 20553 26877 32929 43061 60047 78523 98787 116467 129183 180141 235569 349401 409349 559793 1020799 1228047 1334891 1679379 3062397 4004673 5321537 6958933 12689819 15964611 17353583 20876799 38069457 52060749 60993001 90466129 118301861 164967647 182979003 215726923 271398387 354905583 494902941 647180769 792909013 1036881017 1537924193 1890783031 2378727039 2804449999 3110643051 3667357691 4613772579 5672349093 8413349997 11002073073 13479453221 17626977289 24580179403 32143311527 40438359663 47675649983 52880931867 73740538209 96429934581 143026949949 229150704757 417863049851 546436295959 687452114271 1253589149553 1639308887877 7103671847467 21311015542401