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2123109090 = 2335173143347
BaseRepresentation
bin111111010001100…
…0001001011100010
312110222000010011000
41332203001023202
513322003442330
6550401332430
7103420062264
oct17643011342
95428003130
102123109090
1199a492313
124b3037116
1327ab1c48b
14161d83b34
15c65ce560
hex7e8c12e2

2123109090 has 256 divisors, whose sum is σ = 6350192640. Its totient is φ = 502225920.

The previous prime is 2123109089. The next prime is 2123109091. The reversal of 2123109090 is 909013212.

It is an interprime number because it is at equal distance from previous prime (2123109089) and next prime (2123109091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2123109091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6118297 + ... + 6118643.

It is an arithmetic number, because the mean of its divisors is an integer number (24805440).

Almost surely, 22123109090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123109090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175096320).

2123109090 is an abundant number, since it is smaller than the sum of its proper divisors (4227083550).

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

2123109090 is a wasteful number, since it uses less digits than its factorization.

2123109090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2123109090 is about 46077.2079232238. The cubic root of 2123109090 is about 1285.2593439614.

The spelling of 2123109090 in words is "two billion, one hundred twenty-three million, one hundred nine thousand, ninety".