Search a number
-
+
21302310011022 = 2323761524351647
BaseRepresentation
bin1001101011111110101001…
…00111110000000010001110
32210102110222121111200021200
410311333110213300002032
510243004112330323042
6113150051321210330
74326020046331305
oct465772447600216
983373877450250
1021302310011022
116873293718747
1224806446309a6
13bb6a50b49bb1
1453907451d43c
1526e1c69a8c4c
hex135fd49f008e

21302310011022 has 48 divisors (see below), whose sum is σ = 48179526824832. Its totient is φ = 6795597332160.

The previous prime is 21302310010999. The next prime is 21302310011029. The reversal of 21302310011022 is 22011001320312.

21302310011022 is a `hidden beast` number, since 21 + 302 + 310 + 0 + 1 + 10 + 22 = 666.

It is a super-2 number, since 2×213023100110222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21302310010986 and 21302310011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302310011029) 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 23 ways as a sum of consecutive naturals, for example, 262135198 + ... + 262216449.

It is an arithmetic number, because the mean of its divisors is an integer number (1003740142184).

Almost surely, 221302310011022 is an apocalyptic number.

21302310011022 is an abundant number, since it is smaller than the sum of its proper divisors (26877216813810).

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

21302310011022 is a wasteful number, since it uses less digits than its factorization.

21302310011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524351753 (or 524351750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21302310011022 its reverse (22011001320312), we get a palindrome (43313311331334).

The spelling of 21302310011022 in words is "twenty-one trillion, three hundred two billion, three hundred ten million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 4514 6771 13542 20313 40626 524351647 1048703294 1573054941 3146109882 4719164823 9438329646 19401010939 31985450467 38802021878 58203032817 63970900934 95956351401 116406065634 174609098451 191912702802 287869054203 349218196902 575738108406 1183461667279 2366923334558 3550385001837 7100770003674 10651155005511 21302310011022