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1312331122300 = 2252111307912799
BaseRepresentation
bin10011000110001101000…
…001111100011001111100
311122110100121112100222111
4103012031001330121330
5133000123231403200
62442513202223404
7163545534326302
oct23061501743174
94573317470874
101312331122300
11466613784960
12192409054b64
13969a1a35803
144773515c272
152420b7a10ba
hex1318d07c67c

1312331122300 has 72 divisors (see below), whose sum is σ = 3109026009600. Its totient is φ = 476845675200.

The previous prime is 1312331122261. The next prime is 1312331122327. The reversal of 1312331122300 is 32211332131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981301 + ... + 1894099.

It is an arithmetic number, because the mean of its divisors is an integer number (43180916800).

Almost surely, 21312331122300 is an apocalyptic number.

1312331122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312331122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554513004800).

1312331122300 is an abundant number, since it is smaller than the sum of its proper divisors (1796694887300).

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

1312331122300 is a wasteful number, since it uses less digits than its factorization.

1312331122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914131 (or 914124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1312331122300 its reverse (32211332131), we get a palindrome (1344542454431).

The spelling of 1312331122300 in words is "one trillion, three hundred twelve billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1307 2614 5228 6535 13070 14377 26140 28754 32675 57508 65350 71885 130700 143770 287540 359425 718850 912799 1437700 1825598 3651196 4563995 9127990 10040789 18255980 20081578 22819975 40163156 45639950 50203945 91279900 100407890 200815780 251019725 502039450 1004078900 1193028293 2386056586 4772113172 5965141465 11930282930 13123311223 23860565860 26246622446 29825707325 52493244892 59651414650 65616556115 119302829300 131233112230 262466224460 328082780575 656165561150 1312331122300