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2231223131133 = 32576974296821
BaseRepresentation
bin100000011101111111010…
…000110001101111111101
321220022011202221221022200
4200131333100301233331
5243024021110144013
64425002035102113
7320125534455633
oct40357720615775
97808152857280
102231223131133
11790290320597
12300514141939
1313253247b469
1479dc560b353
153d08c634e73
hex2077f431bfd

2231223131133 has 12 divisors (see below), whose sum is σ = 3222934464828. Its totient is φ = 1487455960320.

The previous prime is 2231223131131. The next prime is 2231223131141. The reversal of 2231223131133 is 3311313221322.

2231223131133 is a `hidden beast` number, since 2 + 2 + 312 + 2 + 3 + 1 + 311 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1380056358564 + 851166772569 = 1174758^2 + 922587^2 .

It is not a de Polignac number, because 2231223131133 - 21 = 2231223131131 is a prime.

It is a super-3 number, since 3×22312231311333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231223131097 and 2231223131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231223131131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1629138 + ... + 2667683.

It is an arithmetic number, because the mean of its divisors is an integer number (268577872069).

Almost surely, 22231223131133 is an apocalyptic number.

It is an amenable number.

2231223131133 is a deficient number, since it is larger than the sum of its proper divisors (991711333695).

2231223131133 is a wasteful number, since it uses less digits than its factorization.

2231223131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354524 (or 4354521 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2231223131133 its reverse (3311313221322), we get a palindrome (5542536352455).

The spelling of 2231223131133 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 57697 173091 519273 4296821 12890463 38671389 247913681237 743741043711 2231223131133