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31200043122 = 23223832573533
BaseRepresentation
bin11101000011101010…
…101110000001110010
32222112101101102001200
4131003222232001302
51002344202334442
622155541112030
72153110663563
oct350352560162
988471342050
1031200043122
111226067a206
1260689b8616
132c32ba30a1
14171d98a16a
15c2917234c
hex743aae072

31200043122 has 96 divisors (see below), whose sum is σ = 71687161728. Its totient is φ = 9786974208.

The previous prime is 31200043109. The next prime is 31200043141. The reversal of 31200043122 is 22134000213.

31200043122 is a `hidden beast` number, since 31 + 200 + 0 + 431 + 2 + 2 = 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 = 31200043095 and 31200043104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8829268 + ... + 8832800.

It is an arithmetic number, because the mean of its divisors is an integer number (746741268).

Almost surely, 231200043122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200043122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35843580864).

31200043122 is an abundant number, since it is smaller than the sum of its proper divisors (40487118606).

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

31200043122 is a wasteful number, since it uses less digits than its factorization.

31200043122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31200043122 its reverse (22134000213), we get a palindrome (53334043335).

The spelling of 31200043122 in words is "thirty-one billion, two hundred million, forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 166 207 249 257 414 498 514 747 771 1494 1542 1909 2313 3533 3818 4626 5727 5911 7066 10599 11454 11822 17181 17733 21198 21331 31797 34362 35466 42662 53199 63594 63993 81259 106398 127986 162518 191979 243777 293239 383958 487554 490613 586478 731331 879717 907981 981226 1462662 1471839 1759434 1815962 2639151 2723943 2943678 4415517 5278302 5447886 6744497 8171829 8831034 13488994 16343658 20233491 20883563 40466982 41767126 60700473 62650689 75362423 121400946 125301378 150724846 187952067 226087269 375904134 452174538 678261807 1356523614 1733335729 3466671458 5200007187 10400014374 15600021561 31200043122