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1003321221131 = 61137252147623
BaseRepresentation
bin11101001100110101001…
…10101110000000001011
310112220202011212221101002
432212122212232000023
5112414300213034011
62044530331445215
7132326143444325
oct16463246560013
93486664787332
101003321221131
11357562744549
1214254a2b680b
13737c739b048
14367bd588615
151b17310bc3b
hexe99a9ae00b

1003321221131 has 16 divisors (see below), whose sum is σ = 1027641720768. Its totient is φ = 979260710400.

The previous prime is 1003321221109. The next prime is 1003321221151. The reversal of 1003321221131 is 1311221233001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003321221131 is a prime.

It is a super-2 number, since 2×10033212211312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003321221151) 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 15 ways as a sum of consecutive naturals, for example, 21044186 + ... + 21091808.

It is an arithmetic number, because the mean of its divisors is an integer number (64227607548).

Almost surely, 21003321221131 is an apocalyptic number.

1003321221131 is a deficient number, since it is larger than the sum of its proper divisors (24320499637).

1003321221131 is a wasteful number, since it uses less digits than its factorization.

1003321221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50342.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1003321221131 its reverse (1311221233001), we get a palindrome (2314542454132).

The spelling of 1003321221131 in words is "one trillion, three billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 61 137 2521 8357 47623 153781 345377 2905003 6524351 21067997 120057583 397985411 7323512563 16447888871 1003321221131