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1137361001 = 7223211449
BaseRepresentation
bin100001111001010…
…1100000001101001
32221021010220222112
41003302230001221
54312131023001
6304505332105
740120260200
oct10362540151
92837126875
101137361001
11534013177
12278a97035
1315183229a
14ab0a6237
1569cb5cbb
hex43cac069

1137361001 has 6 divisors (see below), whose sum is σ = 1323052650. Its totient is φ = 974880816.

The previous prime is 1137360989. The next prime is 1137361003. The reversal of 1137361001 is 1001637311.

It can be written as a sum of positive squares in only one way, i.e., 581533225 + 555827776 = 24115^2 + 23576^2 .

It is not a de Polignac number, because 1137361001 - 26 = 1137360937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1137361003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11605676 + ... + 11605773.

It is an arithmetic number, because the mean of its divisors is an integer number (220508775).

Almost surely, 21137361001 is an apocalyptic number.

It is an amenable number.

1137361001 is a deficient number, since it is larger than the sum of its proper divisors (185691649).

1137361001 is an equidigital number, since it uses as much as digits as its factorization.

1137361001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23211463 (or 23211456 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 1137361001 is about 33724.7831868494. The cubic root of 1137361001 is about 1043.8372179689.

Adding to 1137361001 its reverse (1001637311), we get a palindrome (2138998312).

The spelling of 1137361001 in words is "one billion, one hundred thirty-seven million, three hundred sixty-one thousand, one".

Divisors: 1 7 49 23211449 162480143 1137361001