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2131120129 = 29493314897
BaseRepresentation
bin111111100000110…
…0101000000000001
312111112002010020011
41333001211000001
513331031321004
6551245144521
7103545136135
oct17701450001
95445063204
102131120129
119a3a64106
124b585b141
1327c695938
1416306b3c5
15c7163004
hex7f065001

2131120129 has 8 divisors (see below), whose sum is σ = 2205201960. Its totient is φ = 2057078016.

The previous prime is 2131120111. The next prime is 2131120133. The reversal of 2131120129 is 9210211312.

It can be written as a sum of positive squares in 4 ways, for example, as 620010000 + 1511110129 = 24900^2 + 38873^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2131120129 - 25 = 2131120097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131120109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135609 + ... + 150505.

It is an arithmetic number, because the mean of its divisors is an integer number (275650245).

Almost surely, 22131120129 is an apocalyptic number.

2131120129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2131120129 is a deficient number, since it is larger than the sum of its proper divisors (74081831).

2131120129 is a wasteful number, since it uses less digits than its factorization.

2131120129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19859.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 2131120129 is about 46164.0566783293. The cubic root of 2131120129 is about 1286.8738535037.

The spelling of 2131120129 in words is "two billion, one hundred thirty-one million, one hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 29 4933 14897 143057 432013 73486901 2131120129