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1310122000 = 2453111731113
BaseRepresentation
bin100111000010110…
…1110000000010000
310101022020002112001
41032011232000100
510140342401000
6334000243344
744315565445
oct11605560020
93338202461
101310122000
11612591060
12306910554
1317b570225
14c5dd79cc
157a03e46a
hex4e16e010

1310122000 has 320 divisors, whose sum is σ = 3810613248. Its totient is φ = 430080000.

The previous prime is 1310121977. The next prime is 1310122019. The reversal of 1310122000 is 2210131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11593944 + ... + 11594056.

Almost surely, 21310122000 is an apocalyptic number.

1310122000 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 1310122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905306624).

1310122000 is an abundant number, since it is smaller than the sum of its proper divisors (2500491248).

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

1310122000 is a wasteful number, since it uses less digits than its factorization.

1310122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1310122000 is about 36195.6074683103. The cubic root of 1310122000 is about 1094.2181473499.

Adding to 1310122000 its reverse (2210131), we get a palindrome (1312332131).

The spelling of 1310122000 in words is "one billion, three hundred ten million, one hundred twenty-two thousand".