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1003132012221 = 324310125664083
BaseRepresentation
bin11101001100011110101…
…00111100011010111101
310112220020222212010112200
432212033110330122331
5112413403243342341
62044455452222113
7132321355263003
oct16461724743275
93486228763480
101003132012221
11357475962049
121424b6a6a939
1373797121701
14367a23b4a73
151b1616d4db6
hexe98f53c6bd

1003132012221 has 24 divisors (see below), whose sum is σ = 1497345316896. Its totient is φ = 646734866400.

The previous prime is 1003132012213. The next prime is 1003132012273. The reversal of 1003132012221 is 1222102313001.

1003132012221 is a `hidden beast` number, since 100 + 313 + 20 + 12 + 221 = 666.

It is not a de Polignac number, because 1003132012221 - 23 = 1003132012213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003132012194 and 1003132012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003132012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12792955 + ... + 12871128.

It is an arithmetic number, because the mean of its divisors is an integer number (62389388204).

Almost surely, 21003132012221 is an apocalyptic number.

It is an amenable number.

1003132012221 is a deficient number, since it is larger than the sum of its proper divisors (494213304675).

1003132012221 is a wasteful number, since it uses less digits than its factorization.

1003132012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25664233 (or 25664230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003132012221 its reverse (1222102313001), we get a palindrome (2225234325222).

The spelling of 1003132012221 in words is "one trillion, three billion, one hundred thirty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 43 101 129 303 387 909 4343 13029 39087 25664083 76992249 230976747 1103555569 2592072383 3310666707 7776217149 9932000121 23328651447 111459112469 334377337407 1003132012221