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1312141000 = 235310712263
BaseRepresentation
bin100111000110101…
…1010111011001000
310101110000200001211
41032031122323020
510141402003000
6334111422504
744342004652
oct11615327310
93343020054
101312141000
1161373aa55
12307524a34
1317bac91c1
14c63a16d2
157a2dc7ba
hex4e35aec8

1312141000 has 64 divisors (see below), whose sum is σ = 3099358080. Its totient is φ = 519908800.

The previous prime is 1312140983. The next prime is 1312141003. The reversal of 1312141000 is 1412131.

It is not an unprimeable number, because it can be changed into a prime (1312141003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100869 + ... + 113131.

It is an arithmetic number, because the mean of its divisors is an integer number (48427470).

Almost surely, 21312141000 is an apocalyptic number.

1312141000 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 1312141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549679040).

1312141000 is an abundant number, since it is smaller than the sum of its proper divisors (1787217080).

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

1312141000 is a wasteful number, since it uses less digits than its factorization.

1312141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12391 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1312141000 is about 36223.4868559061. The cubic root of 1312141000 is about 1094.7799506391.

Adding to 1312141000 its reverse (1412131), we get a palindrome (1313553131).

The spelling of 1312141000 in words is "one billion, three hundred twelve million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 12263 13375 21400 24526 26750 49052 53500 61315 98104 107000 122630 245260 306575 490520 613150 1226300 1312141 1532875 2452600 2624282 3065750 5248564 6131500 6560705 10497128 12263000 13121410 26242820 32803525 52485640 65607050 131214100 164017625 262428200 328035250 656070500 1312141000