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2141200031 = 17417394157
BaseRepresentation
bin111111110100000…
…0001111010011111
312112020001020020212
41333220001322133
513341121400111
6552245203035
7104026620455
oct17750017237
95466036225
102141200031
119a9719303
124b910047b
132817b4989
141645329d5
15c7ea498b
hex7fa01e9f

2141200031 has 16 divisors (see below), whose sum is σ = 2326151520. Its totient is φ = 1962961920.

The previous prime is 2141200021. The next prime is 2141200043. The reversal of 2141200031 is 1300021412.

It is not a de Polignac number, because 2141200031 - 26 = 2141199967 is a prime.

It is a super-4 number, since 4×21412000314 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2141199979 and 2141200015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513005 + ... + 517161.

It is an arithmetic number, because the mean of its divisors is an integer number (145384470).

Almost surely, 22141200031 is an apocalyptic number.

2141200031 is a deficient number, since it is larger than the sum of its proper divisors (184951489).

2141200031 is a wasteful number, since it uses less digits than its factorization.

2141200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2141200031 is about 46273.1026731513. The cubic root of 2141200031 is about 1288.8995745467.

Adding to 2141200031 its reverse (1300021412), we get a palindrome (3441221443).

The spelling of 2141200031 in words is "two billion, one hundred forty-one million, two hundred thousand, thirty-one".

Divisors: 1 17 41 697 739 4157 12563 30299 70669 170437 515083 2897429 3072023 52224391 125952943 2141200031