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1005232111221 = 3132916316673271
BaseRepresentation
bin11101010000011001000…
…00001011111001110101
310120002200100120012210010
432220030200023321311
5112432203410024341
62045444112450433
7132424405651422
oct16501440137165
93502610505703
101005232111221
11358353358558
121429a2249a19
1373a40245640
1436921288d49
151b235c6b716
hexea0c80be75

1005232111221 has 64 divisors (see below), whose sum is σ = 1503704401920. Its totient is φ = 593071476480.

The previous prime is 1005232111181. The next prime is 1005232111363. The reversal of 1005232111221 is 1221112325001.

It is not a de Polignac number, because 1005232111221 - 227 = 1005097893493 is a prime.

It is a super-2 number, since 2×10052321112212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005232112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307314816 + ... + 307318086.

It is an arithmetic number, because the mean of its divisors is an integer number (23495381280).

Almost surely, 21005232111221 is an apocalyptic number.

It is an amenable number.

1005232111221 is a deficient number, since it is larger than the sum of its proper divisors (498472290699).

1005232111221 is a wasteful number, since it uses less digits than its factorization.

1005232111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 1005232111221 its reverse (1221112325001), we get a palindrome (2226344436222).

The spelling of 1005232111221 in words is "one trillion, five billion, two hundred thirty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 13 29 39 87 163 377 489 1131 1667 2119 3271 4727 5001 6357 9813 14181 21671 42523 48343 61451 65013 94859 127569 145029 184353 271721 284577 533173 628459 815163 1233167 1599519 1885377 3532373 3699501 5452757 6931249 7879909 10597119 15462017 16358271 20793747 23639727 46386051 70885841 102438817 158129953 201006221 212657523 307316451 474389859 603018663 888799391 2055689389 2666398173 6167068167 11554392083 25775182339 34663176249 77325547017 335077370407 1005232111221