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2134121031 = 327317106861
BaseRepresentation
bin111111100110100…
…0001101001000111
312111201201120200200
41333031001221013
513332313333111
6551433341543
7103612505130
oct17715015107
95451646620
102134121031
119a5723799
124b68678b3
132801a6813
1416360cc87
15c7557256
hex7f341a47

2134121031 has 24 divisors (see below), whose sum is σ = 3534140064. Its totient is φ = 1215639360.

The previous prime is 2134121009. The next prime is 2134121063. The reversal of 2134121031 is 1301214312.

2134121031 is a `hidden beast` number, since 213 + 412 + 10 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2134121031 is a prime.

It is a super-2 number, since 2×21341210312 = 9108945149913005922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134120995 and 2134121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33460 + ... + 73401.

It is an arithmetic number, because the mean of its divisors is an integer number (147255836).

Almost surely, 22134121031 is an apocalyptic number.

2134121031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2134121031 is a deficient number, since it is larger than the sum of its proper divisors (1400019033).

2134121031 is a wasteful number, since it uses less digits than its factorization.

2134121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107191 (or 107188 counting only the distinct ones).

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

The square root of 2134121031 is about 46196.5478255681. The cubic root of 2134121031 is about 1287.4776003392.

Adding to 2134121031 its reverse (1301214312), we get a palindrome (3435335343).

The spelling of 2134121031 in words is "two billion, one hundred thirty-four million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 317 951 2219 2853 6657 19971 106861 320583 748027 961749 2244081 6732243 33874937 101624811 237124559 304874433 711373677 2134121031