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2133101331 = 33116367931
BaseRepresentation
bin111111100100100…
…1000101100010011
312111122210202221000
41333021020230103
513332033220311
6551355433043
7103601030214
oct17711105423
95448722830
102133101331
119a5097669
124b6455783
1327cc0a64a
1416342540b
15c7405056
hex7f248b13

2133101331 has 16 divisors (see below), whose sum is σ = 3162913920. Its totient is φ = 1420823880.

The previous prime is 2133101303. The next prime is 2133101407. The reversal of 2133101331 is 1331013312.

It is a happy number.

2133101331 is a `hidden beast` number, since 2 + 1 + 331 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 2133101331 - 27 = 2133101203 is a prime.

It is a super-2 number, since 2×21331013312 = 9100242576627943122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133101431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2565 + ... + 65366.

It is an arithmetic number, because the mean of its divisors is an integer number (197682120).

Almost surely, 22133101331 is an apocalyptic number.

2133101331 is a deficient number, since it is larger than the sum of its proper divisors (1029812589).

2133101331 is a wasteful number, since it uses less digits than its factorization.

2133101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69103 (or 69097 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133101331 is about 46185.5099679542. The cubic root of 2133101331 is about 1287.2725119928.

Adding to 2133101331 its reverse (1331013312), we get a palindrome (3464114643).

It can be divided in two parts, 2 and 133101331, that multiplied together give a palindrome (266202662).

The spelling of 2133101331 in words is "two billion, one hundred thirty-three million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1163 3489 10467 31401 67931 203793 611379 1834137 79003753 237011259 711033777 2133101331