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2138031 = 32733937
BaseRepresentation
bin1000001001111110101111
311000121211100
420021332233
51021404111
6113454143
724113220
oct10117657
94017740
102138031
111230375
12871353
1359b20c
143d9247
152c3756
hex209faf

2138031 has 12 divisors (see below), whose sum is σ = 3529552. Its totient is φ = 1221696.

The previous prime is 2138029. The next prime is 2138033. The reversal of 2138031 is 1308312.

It is an interprime number because it is at equal distance from previous prime (2138029) and next prime (2138033).

It is not a de Polignac number, because 2138031 - 21 = 2138029 is a prime.

It is a super-2 number, since 2×21380312 = 9142353113922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2137995 and 2138013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138033) 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 11 ways as a sum of consecutive naturals, for example, 16906 + ... + 17031.

22138031 is an apocalyptic number.

2138031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2138031 is a deficient number, since it is larger than the sum of its proper divisors (1391521).

2138031 is a wasteful number, since it uses less digits than its factorization.

2138031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33950 (or 33947 counting only the distinct ones).

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

The square root of 2138031 is about 1462.2007386129. The cubic root of 2138031 is about 128.8263392438.

The spelling of 2138031 in words is "two million, one hundred thirty-eight thousand, thirty-one".

Divisors: 1 3 7 9 21 63 33937 101811 237559 305433 712677 2138031