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1310142000 = 24353218357
BaseRepresentation
bin100111000010111…
…0010111000110000
310101022021002221210
41032011302320300
510140344021000
6334000520120
744316010656
oct11605627060
93338232853
101310142000
116125a5092
12306920040
1317b57936b
14c6000dd6
157a045350
hex4e172e30

1310142000 has 80 divisors (see below), whose sum is σ = 4223917152. Its totient is φ = 349369600.

The previous prime is 1310141983. The next prime is 1310142007. The reversal of 1310142000 is 2410131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1310142007) 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, 103179 + ... + 115178.

Almost surely, 21310142000 is an apocalyptic number.

1310142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310142000 is an abundant number, since it is smaller than the sum of its proper divisors (2913775152).

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

1310142000 is a wasteful number, since it uses less digits than its factorization.

1310142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218383 (or 218367 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1310142000 is about 36195.8837438734. The cubic root of 1310142000 is about 1094.2237153432.

Adding to 1310142000 its reverse (2410131), we get a palindrome (1312552131).

The spelling of 1310142000 in words is "one billion, three hundred ten million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 218357 436714 655071 873428 1091785 1310142 1746856 2183570 2620284 3275355 3493712 4367140 5240568 5458925 6550710 8734280 10481136 10917850 13101420 16376775 17468560 21835700 26202840 27294625 32753550 43671400 52405680 54589250 65507100 81883875 87342800 109178500 131014200 163767750 218357000 262028400 327535500 436714000 655071000 1310142000