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31022232030 = 23254722073323
BaseRepresentation
bin11100111001000100…
…011011000111011110
32222001222210200002200
4130321010123013132
51002013142411110
622130150032330
72145521423106
oct347104330736
988058720080
1031022232030
111217a272099
1260193486a6
132c050b761a
141704102206
15c1874c6c0
hex73911b1de

31022232030 has 96 divisors (see below), whose sum is σ = 82436050944. Its totient is φ = 8090478528.

The previous prime is 31022232029. The next prime is 31022232047. The reversal of 31022232030 is 3023222013.

It is a happy number.

31022232030 is a `hidden beast` number, since 310 + 2 + 2 + 2 + 320 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31022231994 and 31022232012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9333949 + ... + 9337271.

It is an arithmetic number, because the mean of its divisors is an integer number (858708864).

Almost surely, 231022232030 is an apocalyptic number.

31022232030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31022232030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41218025472).

31022232030 is an abundant number, since it is smaller than the sum of its proper divisors (51413818914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31022232030 is a wasteful number, since it uses less digits than its factorization.

31022232030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 31022232030 its reverse (3023222013), we get a palindrome (34045454043).

The spelling of 31022232030 in words is "thirty-one billion, twenty-two million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 2207 3323 4230 4414 6621 6646 9969 11035 13242 16615 19863 19938 22070 29907 33105 33230 39726 49845 59814 66210 99315 99690 103729 149535 156181 198630 207458 299070 311187 312362 468543 518645 622374 780905 933561 937086 1037290 1405629 1555935 1561810 1867122 2342715 2811258 3111870 4667805 4685430 7028145 7333861 9335610 14056290 14667722 22001583 36669305 44003166 66004749 73338610 110007915 132009498 220015830 330023745 344691467 660047490 689382934 1034074401 1723457335 2068148802 3102223203 3446914670 5170372005 6204446406 10340744010 15511116015 31022232030