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2133323031 = 37791737433
BaseRepresentation
bin111111100100111…
…1110110100010111
312111200020001001010
41333021332310113
513332112314111
6551404303303
7103602642450
oct17711766427
95450201033
102133323031
119a5229194
124b6541b33
1327cc87528
14163482127
15c744aaa6
hex7f27ed17

2133323031 has 32 divisors (see below), whose sum is σ = 3311400960. Its totient is φ = 1196492544.

The previous prime is 2133323011. The next prime is 2133323053. The reversal of 2133323031 is 1303233312.

It is not a de Polignac number, because 2133323031 - 210 = 2133322007 is a prime.

It is a super-2 number, since 2×21333230312 = 9102134309190053922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2133322989 and 2133323007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133323011) 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, 283291 + ... + 290723.

It is an arithmetic number, because the mean of its divisors is an integer number (103481280).

Almost surely, 22133323031 is an apocalyptic number.

2133323031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2133323031 is a deficient number, since it is larger than the sum of its proper divisors (1178077929).

2133323031 is a wasteful number, since it uses less digits than its factorization.

2133323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2133323031 is about 46187.9100090056. The cubic root of 2133323031 is about 1287.3171072222.

Adding to 2133323031 its reverse (1303233312), we get a palindrome (3436556343).

The spelling of 2133323031 in words is "two billion, one hundred thirty-three million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 3 7 21 79 173 237 519 553 1211 1659 3633 7433 13667 22299 41001 52031 95669 156093 287007 587207 1285909 1761621 3857727 4110449 9001363 12331347 27004089 101586811 304760433 711107677 2133323031