Search a number
-
+
22221003021021 = 3274016311393957
BaseRepresentation
bin1010000110101101110101…
…11111011101101011011101
32220200022021220111001112200
411003112322333131223131
510403032103233133041
6115132104324522113
74452262112143260
oct503267277355335
986608256431480
1022221003021021
1170979689a5632
1225aa6b4b50339
13c5257c29915c
1456b7063aacd7
152880451301b6
hex1435bafddadd

22221003021021 has 48 divisors (see below), whose sum is σ = 36832072712448. Its totient is φ = 12645968832000.

The previous prime is 22221003021017. The next prime is 22221003021053. The reversal of 22221003021021 is 12012030012222.

22221003021021 is a `hidden beast` number, since 222 + 210 + 0 + 3 + 0 + 210 + 21 = 666.

It is not a de Polignac number, because 22221003021021 - 22 = 22221003021017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22221003020985 and 22221003021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221003021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15243975 + ... + 16637931.

It is an arithmetic number, because the mean of its divisors is an integer number (767334848176).

Almost surely, 222221003021021 is an apocalyptic number.

22221003021021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22221003021021 is a deficient number, since it is larger than the sum of its proper divisors (14611069691427).

22221003021021 is a wasteful number, since it uses less digits than its factorization.

22221003021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395002 (or 1394999 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22221003021021 its reverse (12012030012222), we get a palindrome (34233033033243).

The spelling of 22221003021021 in words is "twenty-two trillion, two hundred twenty-one billion, three million, twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 401 631 1203 1893 2807 3609 4417 5679 8421 13251 25263 39753 253031 759093 1393957 1771217 2277279 4181871 5313651 9757699 12545613 15940953 29273097 87819291 558976757 879586867 1676930271 2638760601 3912837299 5030790813 6157108069 7916281803 11738511897 18471324207 35215535691 55413972621 352714333667 1058143001001 2469000335669 3174429003003 7407001007007 22221003021021