Search a number
-
+
2132067102 = 2311194094157
BaseRepresentation
bin111111100010100…
…1100001100011110
312111120212020020020
41333011030030132
513331302121402
6551321333010
7103556162034
oct17705141436
95446766206
102132067102
119a4550630
124b6037166
1327c937989
14163236554
15c729d8bc
hex7f14c31e

2132067102 has 64 divisors (see below), whose sum is σ = 4909766400. Its totient is φ = 610433280.

The previous prime is 2132067101. The next prime is 2132067107. The reversal of 2132067102 is 2017602312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132067101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510808 + ... + 514964.

It is an arithmetic number, because the mean of its divisors is an integer number (76715100).

Almost surely, 22132067102 is an apocalyptic number.

2132067102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132067102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454883200).

2132067102 is an abundant number, since it is smaller than the sum of its proper divisors (2777699298).

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

2132067102 is a wasteful number, since it uses less digits than its factorization.

2132067102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2132067102 is about 46174.3121443081. The cubic root of 2132067102 is about 1287.0644347102.

Adding to 2132067102 its reverse (2017602312), we get a palindrome (4149669414).

The spelling of 2132067102 in words is "two billion, one hundred thirty-two million, sixty-seven thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 409 418 627 818 1227 1254 2454 4157 4499 7771 8314 8998 12471 13497 15542 23313 24942 26994 45727 46626 78983 85481 91454 137181 157966 170962 236949 256443 274362 473898 512886 868813 1700213 1737626 2606439 3400426 5100639 5212878 10201278 18702343 32304047 37404686 56107029 64608094 96912141 112214058 193824282 355344517 710689034 1066033551 2132067102