Search a number
-
+
21202001101021 = 13234310933145707
BaseRepresentation
bin1001101001000011110011…
…01111101000000011011101
32210001220001220121002011211
410310201321233220003131
510234333144240213041
6113032022001144421
74315536231553456
oct464417157500335
983056056532154
1021202001101021
116834799982a24
12246510b32b111
13baa45633cc90
1453427a44a12d
1526b7a55a0481
hex134879be80dd

21202001101021 has 64 divisors (see below), whose sum is σ = 24678283069440. Its totient is φ = 18061928881920.

The previous prime is 21202001101003. The next prime is 21202001101027. The reversal of 21202001101021 is 12010110020212.

It is a cyclic number.

It is not a de Polignac number, because 21202001101021 - 217 = 21202000969949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 21202001100992 and 21202001101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202001101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463844850 + ... + 463890556.

It is an arithmetic number, because the mean of its divisors is an integer number (385598172960).

Almost surely, 221202001101021 is an apocalyptic number.

It is an amenable number.

21202001101021 is a deficient number, since it is larger than the sum of its proper divisors (3476281968419).

21202001101021 is a wasteful number, since it uses less digits than its factorization.

21202001101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46226.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21202001101021 its reverse (12010110020212), we get a palindrome (33212111121233).

The spelling of 21202001101021 in words is "twenty-one trillion, two hundred two billion, one million, one hundred one thousand, twenty-one".

Divisors: 1 13 23 43 109 299 331 559 989 1417 2507 4303 4687 7613 12857 14233 32591 36079 45707 60931 98969 107801 185029 327359 469027 594191 829817 1051261 1401413 1551397 1965401 4255667 4982063 10787621 13666393 15129017 20168161 25550213 35682131 45204223 64766819 114587449 196677221 214228709 347967391 463867703 587654899 650547731 1489636837 1649062853 2784973217 4523576083 4927260307 8457120503 14962597813 21437817089 37928445619 64054383991 70909702679 194513771569 493069793047 921826134827 1630923161617 21202001101021