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1310323021000 = 23537751249253
BaseRepresentation
bin10011000100010101010…
…101101001010011001000
311122021011122221020212021
4103010111111221103020
5132432020143133000
62441542025454224
7163445011623460
oct23042525512310
94567148836767
101310323021000
11465783204704
12191b48641374
13967419b2ba6
14475c4594ba0
152414033d11a
hex131155694c8

1310323021000 has 128 divisors (see below), whose sum is σ = 3508858229760. Its totient is φ = 448653600000.

The previous prime is 1310323020973. The next prime is 1310323021001. The reversal of 1310323021000 is 1203230131.

It is not an unprimeable number, because it can be changed into a prime (1310323021001) 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, 5132374 + ... + 5381626.

It is an arithmetic number, because the mean of its divisors is an integer number (27412954920).

Almost surely, 21310323021000 is an apocalyptic number.

1310323021000 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 1310323021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754429114880).

1310323021000 is an abundant number, since it is smaller than the sum of its proper divisors (2198535208760).

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

1310323021000 is a wasteful number, since it uses less digits than its factorization.

1310323021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250032 (or 250018 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1310323021000 its reverse (1203230131), we get a palindrome (1311526251131).

The spelling of 1310323021000 in words is "one trillion, three hundred ten billion, three hundred twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 751 875 1000 1400 1502 1750 3004 3500 3755 5257 6008 7000 7510 10514 15020 18775 21028 26285 30040 37550 42056 52570 75100 93875 105140 131425 150200 187750 210280 249253 262850 375500 498506 525700 657125 751000 997012 1051400 1246265 1314250 1744771 1994024 2492530 2628500 3489542 4985060 5257000 6231325 6979084 8723855 9970120 12462650 13958168 17447710 24925300 31156625 34895420 43619275 49850600 62313250 69790840 87238550 124626500 174477100 187189003 218096375 249253000 348954200 374378006 436192750 748756012 872385500 935945015 1310323021 1497512024 1744771000 1871890030 2620646042 3743780060 4679725075 5241292084 6551615105 7487560120 9359450150 10482584168 13103230210 18718900300 23398625375 26206460420 32758075525 37437800600 46797250750 52412920840 65516151050 93594501500 131032302100 163790377625 187189003000 262064604200 327580755250 655161510500 1310323021000