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1320121000 = 235311120011
BaseRepresentation
bin100111010101111…
…0111001010101000
310102000001002120101
41032223313022220
510200422333000
6334554435144
744466562162
oct11653671250
93360032511
101320121000
116181a04a0
1230a132ab4
131806614b3
14c747b932
157ad66e6a
hex4eaf72a8

1320121000 has 64 divisors (see below), whose sum is σ = 3369936960. Its totient is φ = 480040000.

The previous prime is 1320120959. The next prime is 1320121003. The reversal of 1320121000 is 1210231.

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

It is not an unprimeable number, because it can be changed into a prime (1320121003) 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 15 ways as a sum of consecutive naturals, for example, 49006 + ... + 71005.

It is an arithmetic number, because the mean of its divisors is an integer number (52655265).

Almost surely, 21320121000 is an apocalyptic number.

1320121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320121000 is an abundant number, since it is smaller than the sum of its proper divisors (2049815960).

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

1320121000 is a wasteful number, since it uses less digits than its factorization.

1320121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120043 (or 120029 counting only the distinct ones).

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

The square root of 1320121000 is about 36333.4694187054. The cubic root of 1320121000 is about 1096.9948277247.

Adding to 1320121000 its reverse (1210231), we get a palindrome (1321331231).

The spelling of 1320121000 in words is "one billion, three hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 120011 240022 480044 600055 960088 1200110 1320121 2400220 2640242 3000275 4800440 5280484 6000550 6600605 10560968 12001100 13201210 15001375 24002200 26402420 30002750 33003025 52804840 60005500 66006050 120011000 132012100 165015125 264024200 330030250 660060500 1320121000