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21331300021101 = 3271213712139199
BaseRepresentation
bin1001101100110100101001…
…00011110111001101101101
32210112020210222022202221200
410312122110203313031231
510243443000301133401
6113211244113520113
74331064333341160
oct466322443671555
983466728282850
1021331300021101
11688460a835364
122486195273039
13bb96c0bb7a05
1453a624779ad7
1526ed21acb686
hex1366948f736d

21331300021101 has 48 divisors (see below), whose sum is σ = 35248453094400. Its totient is φ = 12177244408320.

The previous prime is 21331300021093. The next prime is 21331300021123. The reversal of 21331300021101 is 10112000313312.

21331300021101 is a `hidden beast` number, since 2 + 1 + 331 + 300 + 0 + 21 + 10 + 1 = 666.

It is not a de Polignac number, because 21331300021101 - 23 = 21331300021093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331300021001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544160100 + ... + 544199298.

It is an arithmetic number, because the mean of its divisors is an integer number (734342772800).

Almost surely, 221331300021101 is an apocalyptic number.

21331300021101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21331300021101 is a deficient number, since it is larger than the sum of its proper divisors (13917153073299).

21331300021101 is a wasteful number, since it uses less digits than its factorization.

21331300021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47546 (or 47543 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21331300021101 its reverse (10112000313312), we get a palindrome (31443300334413).

The spelling of 21331300021101 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred million, twenty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 63 1213 3639 7121 8491 10917 21363 25473 39199 49847 64089 76419 117597 149541 274393 352791 448623 823179 2469537 8637773 25913319 47548387 60464411 77739957 142645161 181393233 279136079 332838709 427935483 544179699 837408237 998516127 1953952553 2512224711 2995548381 5861857659 17585572977 338592063827 1015776191481 2370144446789 3047328574443 7110433340367 21331300021101