Search a number
-
+
21302001001323 = 357109127904661
BaseRepresentation
bin1001101011111110000100…
…01100111110001101101011
32210102110012002001100200000
410311333002030332031223
510243002444224020243
6113150000522114043
74326006304645350
oct465770214761553
983373162040600
1021302001001323
116873145250129
12248057904b923
13bb6a01b16213
14539045482627
1526e1a97ba5d3
hex135fc233e36b

21302001001323 has 96 divisors (see below), whose sum is σ = 37092010475520. Its totient is φ = 11965916108160.

The previous prime is 21302001001301. The next prime is 21302001001339. The reversal of 21302001001323 is 32310010020312.

21302001001323 is a `hidden beast` number, since 2 + 130 + 200 + 10 + 0 + 1 + 323 = 666.

It is not a de Polignac number, because 21302001001323 - 213 = 21302000993131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21302001001296 and 21302001001305.

It is not an unprimeable number, because it can be changed into a prime (21302001000323) 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, 23094613 + ... + 23999273.

It is an arithmetic number, because the mean of its divisors is an integer number (386375109120).

Almost surely, 221302001001323 is an apocalyptic number.

21302001001323 is a deficient number, since it is larger than the sum of its proper divisors (15790009474197).

21302001001323 is a wasteful number, since it uses less digits than its factorization.

21302001001323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904919 (or 904907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21302001001323 its reverse (32310010020312), we get a palindrome (53612011021635).

The spelling of 21302001001323 in words is "twenty-one trillion, three hundred two billion, one million, one thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 109 127 189 243 327 381 567 763 889 981 1143 1701 2289 2667 2943 3429 6867 8001 8829 10287 13843 20601 24003 26487 30861 41529 61803 72009 96901 124587 185409 216027 290703 373761 872109 904661 1121283 2616327 2713983 3363849 6332627 7848981 8141949 18997881 23546943 24425847 56993643 73277541 98608049 114891947 170980929 219832623 295824147 344675841 512942787 690256343 804243629 887472441 1034027523 1538828361 2070769029 2412730887 2662417323 3102082569 6212307087 7238192661 7987251969 9306247707 12523222223 18636921261 21714577983 23961755907 27918743121 37569666669 55910763783 65143733949 87662555561 112709000007 167732291349 195431201847 262987666683 338127000021 788963000049 1014381000063 2366889000147 3043143000189 7100667000441 21302001001323