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2132024349 = 3721317293173
BaseRepresentation
bin111111100010100…
…0001110000011101
312111120210001120210
41333011001300131
513331244234344
6551320403033
7103555623300
oct17705016035
95446701523
102132024349
119a45214a4
124b6016479
1327c921390
14163224b37
15c7290db9
hex7f141c1d

2132024349 has 192 divisors, whose sum is σ = 4081674240. Its totient is φ = 975421440.

The previous prime is 2132024347. The next prime is 2132024357. The reversal of 2132024349 is 9434202312.

It is not a de Polignac number, because 2132024349 - 21 = 2132024347 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132024347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29205777 + ... + 29205849.

It is an arithmetic number, because the mean of its divisors is an integer number (21258720).

Almost surely, 22132024349 is an apocalyptic number.

2132024349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2132024349 is a deficient number, since it is larger than the sum of its proper divisors (1949649891).

2132024349 is a wasteful number, since it uses less digits than its factorization.

2132024349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2132024349 is about 46173.8491897741. The cubic root of 2132024349 is about 1287.0558317550.

The spelling of 2132024349 in words is "two billion, one hundred thirty-two million, twenty-four thousand, three hundred forty-nine".