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2131133333 = 72235473457
BaseRepresentation
bin111111100000110…
…1000001110010101
312111112002210100012
41333001220032111
513331032231313
6551245330005
7103545222500
oct17701501625
95445083305
102131133333
119a3a7301a
124b5866905
1327c69b954
14163072137
15c7166da8
hex7f068395

2131133333 has 24 divisors (see below), whose sum is σ = 2592338112. Its totient is φ = 1743565824.

The previous prime is 2131133327. The next prime is 2131133419. The reversal of 2131133333 is 3333311312.

It is not a de Polignac number, because 2131133333 - 26 = 2131133269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

2131133333 is a modest number, since divided by 33333 gives 21311 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131133299 and 2131133308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131133033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614741 + ... + 618197.

It is an arithmetic number, because the mean of its divisors is an integer number (108014088).

Almost surely, 22131133333 is an apocalyptic number.

2131133333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2131133333 is a deficient number, since it is larger than the sum of its proper divisors (461204779).

2131133333 is a wasteful number, since it uses less digits than its factorization.

2131133333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4034 counting only the distinct ones).

The product of its digits is 1458, while the sum is 23.

The square root of 2131133333 is about 46164.1996898029. The cubic root of 2131133333 is about 1286.8765112371.

Adding to 2131133333 its reverse (3333311312), we get a palindrome (5464444645).

The spelling of 2131133333 in words is "two billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 23 49 161 547 1127 3457 3829 12581 24199 26803 79511 88067 169393 556577 616469 1890979 3896039 13236853 43492517 92657971 304447619 2131133333