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2133133731 = 33375936191
BaseRepresentation
bin111111100100101…
…0000100110100011
312111122212102101000
41333021100212203
513332040234411
6551400243043
7103601223531
oct17711204643
95448772330
102133133731
119a5109a43
124b6470483
1327cc1c311
14163433151
15c740e956
hex7f2509a3

2133133731 has 32 divisors (see below), whose sum is σ = 3300710400. Its totient is φ = 1360164960.

The previous prime is 2133133721. The next prime is 2133133733. The reversal of 2133133731 is 1373313312.

2133133731 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2133133731 - 25 = 2133133699 is a prime.

It is a super-2 number, since 2×21331337312 = 9100519028659960722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2133133695 and 2133133704.

It is not an unprimeable number, because it can be changed into a prime (2133133733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40846 + ... + 77036.

It is an arithmetic number, because the mean of its divisors is an integer number (103147200).

Almost surely, 22133133731 is an apocalyptic number.

2133133731 is a deficient number, since it is larger than the sum of its proper divisors (1167576669).

2133133731 is a wasteful number, since it uses less digits than its factorization.

2133133731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36296 (or 36290 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 2133133731 is about 46185.8607259841. The cubic root of 2133133731 is about 1287.2790294857.

The spelling of 2133133731 in words is "two billion, one hundred thirty-three million, one hundred thirty-three thousand, seven hundred thirty-one".

Divisors: 1 3 9 27 37 59 111 177 333 531 999 1593 2183 6549 19647 36191 58941 108573 325719 977157 1339067 2135269 4017201 6405807 12051603 19217421 36154809 57652263 79004953 237014859 711044577 2133133731