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1003131132130 = 251697205328793
BaseRepresentation
bin11101001100011110100…
…01100101100011100010
310112220020221012102021201
432212033101211203202
5112413403032212010
62044455421311414
7132321344636101
oct16461721454342
93486227172251
101003131132130
113574754108a6
121424b670556a
1373796ba3c4a
14367a2226038
151b1615ae23a
hexe98f4658e2

1003131132130 has 32 divisors (see below), whose sum is σ = 1807642862064. Its totient is φ = 400806752256.

The previous prime is 1003131132019. The next prime is 1003131132167. The reversal of 1003131132130 is 312311313001.

1003131132130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 615115509849 + 388015622281 = 784293^2 + 622909^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1003131132098 and 1003131132107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34825014 + ... + 34853806.

Almost surely, 21003131132130 is an apocalyptic number.

1003131132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003131132130 is a deficient number, since it is larger than the sum of its proper divisors (804511729934).

1003131132130 is a wasteful number, since it uses less digits than its factorization.

1003131132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32550.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1003131132130 its reverse (312311313001), we get a palindrome (1315442445131).

The spelling of 1003131132130 in words is "one trillion, three billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 1697 2053 3394 4106 8485 10265 16970 20530 28793 57586 143965 287930 3483941 6967882 17419705 34839410 48861721 59112029 97723442 118224058 244308605 295560145 488617210 591120290 100313113213 200626226426 501565566065 1003131132130