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2142313032 = 2333110926417
BaseRepresentation
bin111111110110001…
…0001101001001000
312112022010210000010
41333230101221020
513341413004112
6552325111520
7104042234406
oct17754215110
95468123003
102142313032
119aa309542
124b95585a0
13281ab4462
14164742476
15c812463c
hex7fb11a48

2142313032 has 64 divisors (see below), whose sum is σ = 5579481600. Its totient is φ = 684702720.

The previous prime is 2142313009. The next prime is 2142313049. The reversal of 2142313032 is 2303132412.

2142313032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67888 + ... + 94304.

It is an arithmetic number, because the mean of its divisors is an integer number (87179400).

Almost surely, 22142313032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789740800).

2142313032 is an abundant number, since it is smaller than the sum of its proper divisors (3437168568).

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

2142313032 is a wasteful number, since it uses less digits than its factorization.

2142313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26566 (or 26562 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2142313032 is about 46285.1275465457. The cubic root of 2142313032 is about 1289.1228602442.

Adding to 2142313032 its reverse (2303132412), we get a palindrome (4445445444).

The spelling of 2142313032 in words is "two billion, one hundred forty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 109 124 186 218 248 327 372 436 654 744 872 1308 2616 3379 6758 10137 13516 20274 26417 27032 40548 52834 79251 81096 105668 158502 211336 317004 634008 818927 1637854 2456781 2879453 3275708 4913562 5758906 6551416 8638359 9827124 11517812 17276718 19654248 23035624 34553436 69106872 89263043 178526086 267789129 357052172 535578258 714104344 1071156516 2142313032