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2141144031 = 31379694951
BaseRepresentation
bin111111110011111…
…0100001111011111
312112012221101102210
41333213310033133
513341113102111
6552244051503
7104026265265
oct17747641737
95465841383
102141144031
119a9690224
124b9093b93
13281795340
1416451a435
15c7e930a6
hex7f9f43df

2141144031 has 16 divisors (see below), whose sum is σ = 3113384960. Its totient is φ = 1300946400.

The previous prime is 2141144017. The next prime is 2141144063. The reversal of 2141144031 is 1304411412.

It is not a de Polignac number, because 2141144031 - 210 = 2141143007 is a prime.

It is a super-2 number, since 2×21411440312 = 9168995522973857922, 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 = 2141143989 and 2141144007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141144081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344395 + ... + 350556.

It is an arithmetic number, because the mean of its divisors is an integer number (194586560).

Almost surely, 22141144031 is an apocalyptic number.

2141144031 is a deficient number, since it is larger than the sum of its proper divisors (972240929).

2141144031 is a wasteful number, since it uses less digits than its factorization.

2141144031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695046.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2141144031 is about 46272.4975660489. The cubic root of 2141144031 is about 1288.8883380120. Note that the first 3 decimals are identical.

Adding to 2141144031 its reverse (1304411412), we get a palindrome (3445555443).

The spelling of 2141144031 in words is "two billion, one hundred forty-one million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 13 39 79 237 1027 3081 694951 2084853 9034363 27103089 54901129 164703387 713714677 2141144031