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1022211202221 = 3211167523118219
BaseRepresentation
bin11101110000000001000…
…10010001110010101101
310121201111122201101221100
432320000202101302231
5113221442031432341
62101333005353313
7133565226566436
oct16700042216255
93551448641840
101022211202221
11364576635970
12146140568839
1375517ac7951
143769228448d
151b8cb6b33b6
hexee00891cad

1022211202221 has 48 divisors (see below), whose sum is σ = 1623514314240. Its totient is φ = 614629568160.

The previous prime is 1022211202217. The next prime is 1022211202231. The reversal of 1022211202221 is 1222021122201.

It is a happy number.

1022211202221 is a `hidden beast` number, since 10 + 22 + 211 + 202 + 221 = 666.

It is not a de Polignac number, because 1022211202221 - 22 = 1022211202217 is a prime.

It is a super-2 number, since 2×10222112022212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022211202194 and 1022211202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211202231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8587650 + ... + 8705868.

It is an arithmetic number, because the mean of its divisors is an integer number (33823214880).

Almost surely, 21022211202221 is an apocalyptic number.

1022211202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022211202221 is a deficient number, since it is larger than the sum of its proper divisors (601303112019).

1022211202221 is a wasteful number, since it uses less digits than its factorization.

1022211202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118926 (or 118923 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022211202221 its reverse (1222021122201), we get a palindrome (2244232324422).

The spelling of 1022211202221 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 167 501 523 1503 1569 1837 4707 5511 5753 16533 17259 51777 87341 118219 262023 354657 786069 960751 1063971 1300409 2882253 3901227 8646759 11703681 19742573 59227719 61828537 177683157 185485611 217168303 556456833 651504909 680113907 1954514727 2040341721 6121025163 10325365679 30976097037 92928291111 113579022469 340737067407 1022211202221