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222221002211021 = 11236147777301381
BaseRepresentation
bin110010100001101111011011…
…111001011111111011001101
31002010211010020201120222000002
4302201233123321133323031
5213111332103031223041
62104342530305014045
764543636410545432
oct6241573371377315
91063733221528002
10222221002211021
1164896441505360
1220b0bb04024325
1396cc473333438
143cc37a7c5db89
151aa57290ae59b
hexca1bdbe5fecd

222221002211021 has 32 divisors (see below), whose sum is σ = 257116207723776. Its totient is φ = 190063247616000.

The previous prime is 222221002211009. The next prime is 222221002211029. The reversal of 222221002211021 is 120112200122222.

It is a de Polignac number, because none of the positive numbers 2k-222221002211021 is a prime.

It is a super-2 number, since 2×2222210022110212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222221002210984 and 222221002211002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221002211029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737191751 + ... + 737493131.

It is an arithmetic number, because the mean of its divisors is an integer number (8034881491368).

Almost surely, 2222221002211021 is an apocalyptic number.

It is an amenable number.

222221002211021 is a deficient number, since it is larger than the sum of its proper divisors (34895205512755).

222221002211021 is a wasteful number, since it uses less digits than its factorization.

222221002211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349253.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222221002211021 its reverse (120112200122222), we get a palindrome (342333202333243).

The spelling of 222221002211021 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two million, two hundred eleven thousand, twenty-one".

Divisors: 1 11 23 61 253 671 1403 15433 47777 301381 525547 1098871 2914397 3315191 6931763 12087581 18384241 32058367 67031131 76249393 202226651 422837543 737342441 4651212973 14399080037 158389880407 331178840851 878343882257 3642967249361 9661782704827 20201909291911 222221002211021