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2142122310 = 232589267431
BaseRepresentation
bin111111110101110…
…0011000101000110
312112021210002101100
41333223203011012
513341340403220
6552321040530
7104040511356
oct17753430506
95467702340
102142122310
119aa199219
124b9486146
13281a486c3
141646d2b66
15c80d7d90
hex7fae3146

2142122310 has 48 divisors (see below), whose sum is σ = 5632117920. Its totient is φ = 564812160.

The previous prime is 2142122251. The next prime is 2142122317. The reversal of 2142122310 is 132212412.

It is a happy number.

2142122310 is a `hidden beast` number, since 21 + 421 + 223 + 1 + 0 = 666.

It is a super-2 number, since 2×21421223102 = 9177375981999472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142122317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125706 + ... + 141725.

It is an arithmetic number, because the mean of its divisors is an integer number (117335790).

Almost surely, 22142122310 is an apocalyptic number.

2142122310 is an abundant number, since it is smaller than the sum of its proper divisors (3489995610).

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

2142122310 is a wasteful number, since it uses less digits than its factorization.

2142122310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267533 (or 267530 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142122310 is about 46283.0672060528. The cubic root of 2142122310 is about 1289.0846038700.

Adding to 2142122310 its reverse (132212412), we get a palindrome (2274334722).

The spelling of 2142122310 in words is "two billion, one hundred forty-two million, one hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 267431 534862 802293 1337155 1604586 2406879 2674310 4011465 4813758 8022930 12034395 23801359 24068790 47602718 71404077 119006795 142808154 214212231 238013590 357020385 428424462 714040770 1071061155 2142122310