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1032131211221 = 11412191292241
BaseRepresentation
bin11110000010011111101…
…00000110111111010101
310122200002222222002001002
433001033310012333111
5113402301042224341
62110053213513045
7134366113353455
oct17011764067725
93580088862032
101032131211221
113687a7185510
1214804a7a2785
1376439058b66
1437d53943d65
151bcac52029b
hexf04fd06fd5

1032131211221 has 24 divisors (see below), whose sum is σ = 1160139953664. Its totient is φ = 910619840000.

The previous prime is 1032131211211. The next prime is 1032131211233. The reversal of 1032131211221 is 1221121312301.

It is not a de Polignac number, because 1032131211221 - 214 = 1032131194837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032131211193 and 1032131211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032131211211) 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, 3385661 + ... + 3677901.

It is an arithmetic number, because the mean of its divisors is an integer number (48339164736).

Almost surely, 21032131211221 is an apocalyptic number.

1032131211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032131211221 is a deficient number, since it is larger than the sum of its proper divisors (128008742443).

1032131211221 is a wasteful number, since it uses less digits than its factorization.

1032131211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292525 (or 292484 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1032131211221 its reverse (1221121312301), we get a palindrome (2253252523522).

The spelling of 1032131211221 in words is "one trillion, thirty-two billion, one hundred thirty-one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 41 191 451 1681 2101 7831 18491 86141 292241 321071 3214651 3531781 11981881 55818031 131800691 491257121 613998341 2288539271 5403828331 25173931981 93830110111 1032131211221