Search a number
-
+
31220233331 = 7231109193977
BaseRepresentation
bin11101000100110111…
…101111010001110011
32222120210101011211012
4131010313233101303
51002414334431311
622201541541135
72153444414300
oct350467572163
988523334735
1031220233331
111227100a431
1260737147ab
132c37121c61
1417225240a7
15c2ad0e78b
hex744def473

31220233331 has 48 divisors (see below), whose sum is σ = 38067828480. Its totient is φ = 25500303360.

The previous prime is 31220233309. The next prime is 31220233339. The reversal of 31220233331 is 13333202213.

It is not a de Polignac number, because 31220233331 - 222 = 31216039027 is a prime.

It is a super-2 number, since 2×312202333312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31220233297 and 31220233306.

It is not an unprimeable number, because it can be changed into a prime (31220233339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31954715 + ... + 31955691.

It is an arithmetic number, because the mean of its divisors is an integer number (793079760).

Almost surely, 231220233331 is an apocalyptic number.

31220233331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31220233331 is a deficient number, since it is larger than the sum of its proper divisors (6847595149).

31220233331 is a wasteful number, since it uses less digits than its factorization.

31220233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 31220233331 its reverse (13333202213), we get a palindrome (44553435544).

The spelling of 31220233331 in words is "thirty-one billion, two hundred twenty million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 7 31 49 109 193 217 763 977 1351 1519 3379 5341 5983 6839 9457 21037 23653 30287 41881 47873 106493 147259 165571 188561 212009 293167 652147 745451 1030813 1319927 1484063 3301283 4565029 5218157 5845391 9239489 20553149 23108981 31955203 40917737 143872043 161762867 286424159 637147619 1007104301 4460033333 31220233331