Search a number
-
+
114433122210 = 2351117101201961
BaseRepresentation
bin110101010010010111…
…1101101111110100010
3101221101001002220210120
41222210233231332202
53333324334402320
6124323030541110
711160521330001
oct1524457557642
9357331086716
10114433122210
1144592572480
121a217507796
13aa38a89044
145777c80c38
152e9b3c5440
hex1aa4bedfa2

114433122210 has 128 divisors (see below), whose sum is σ = 320373128448. Its totient is φ = 25850880000.

The previous prime is 114433122191. The next prime is 114433122217. The reversal of 114433122210 is 12221334411.

It is not an unprimeable number, because it can be changed into a prime (114433122217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465630 + ... + 667590.

It is an arithmetic number, because the mean of its divisors is an integer number (2502915066).

Almost surely, 2114433122210 is an apocalyptic number.

114433122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114433122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160186564224).

114433122210 is an abundant number, since it is smaller than the sum of its proper divisors (205940006238).

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

114433122210 is a wasteful number, since it uses less digits than its factorization.

114433122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202100.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114433122210 its reverse (12221334411), we get a palindrome (126654456621).

The spelling of 114433122210 in words is "one hundred fourteen billion, four hundred thirty-three million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2222 2805 3030 3333 3434 5151 5555 5610 6666 8585 10302 11110 16665 17170 18887 25755 33330 37774 51510 56661 94435 113322 188870 201961 283305 403922 566610 605883 1009805 1211766 2019610 2221571 3029415 3433337 4443142 6058830 6664713 6866674 10300011 11107855 13329426 17166685 20398061 20600022 22215710 33323565 34333370 37766707 40796122 51500055 61194183 66647130 75533414 101990305 103000110 113300121 122388366 188833535 203980610 224378671 226600242 305970915 346767037 377667070 448757342 566500605 611941830 673136013 693534074 1040301111 1121893355 1133001210 1346272026 1733835185 2080602222 2243786710 3365680065 3467670370 3814437407 5201505555 6731360130 7628874814 10403011110 11443312221 19072187035 22886624442 38144374070 57216561105 114433122210