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31341323000 = 2353133077853
BaseRepresentation
bin11101001100000101…
…101010001011111000
32222220020020011121202
4131030011222023320
51003141334314000
622221545153332
72156444564351
oct351405521370
988806204552
1031341323000
11123233a5939
1260a818b848
132c5623ab50
141734644d28
15c3677cdd5
hex74c16a2f8

31341323000 has 128 divisors (see below), whose sum is σ = 79247488320. Its totient is φ = 11533017600.

The previous prime is 31341322993. The next prime is 31341323003. The reversal of 31341323000 is 32314313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31341323003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3987074 + ... + 3994926.

Almost surely, 231341323000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31341323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39623744160).

31341323000 is an abundant number, since it is smaller than the sum of its proper divisors (47906165320).

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

31341323000 is a wasteful number, since it uses less digits than its factorization.

31341323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31341323000 its reverse (32314313), we get a palindrome (31373637313).

The spelling of 31341323000 in words is "thirty-one billion, three hundred forty-one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 307 325 500 520 614 650 1000 1228 1300 1535 1625 2456 2600 3070 3250 3991 6140 6500 7675 7853 7982 12280 13000 15350 15706 15964 19955 30700 31412 31928 38375 39265 39910 61400 62824 76750 78530 79820 99775 102089 153500 157060 159640 196325 199550 204178 307000 314120 392650 399100 408356 498875 510445 785300 798200 816712 981625 997750 1020890 1570600 1963250 1995500 2041780 2410871 2552225 3926500 3991000 4083560 4821742 5104450 7853000 9643484 10208900 12054355 12761125 19286968 20417800 24108710 25522250 31341323 48217420 51044500 60271775 62682646 96434840 102089000 120543550 125365292 156706615 241087100 250730584 301358875 313413230 482174200 602717750 626826460 783533075 1205435500 1253652920 1567066150 2410871000 3134132300 3917665375 6268264600 7835330750 15670661500 31341323000