Search a number
-
+
106143013500 = 22353274925741
BaseRepresentation
bin110001011011010011…
…1011101101001111100
3101010222021210202120020
41202312213131221330
53214340102413000
6120432245052140
710445215504566
oct1426647355174
9333867722506
10106143013500
1141018a67067
12186a30b7050
13a0173cc384
1451ccc5a336
152b636c1ba0
hex18b69dda7c

106143013500 has 96 divisors (see below), whose sum is σ = 309212904000. Its totient is φ = 28293408000.

The previous prime is 106143013463. The next prime is 106143013507. The reversal of 106143013500 is 5310341601.

It is a super-2 number, since 2×1061430135002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106143013507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4110630 + ... + 4136370.

It is an arithmetic number, because the mean of its divisors is an integer number (3220967750).

Almost surely, 2106143013500 is an apocalyptic number.

106143013500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106143013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154606452000).

106143013500 is an abundant number, since it is smaller than the sum of its proper divisors (203069890500).

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

106143013500 is a wasteful number, since it uses less digits than its factorization.

106143013500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28512 (or 28500 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 106143013500 in words is "one hundred six billion, one hundred forty-three million, thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2749 5498 8247 10996 13745 16494 25741 27490 32988 41235 51482 54980 68725 77223 82470 102964 128705 137450 154446 164940 206175 257410 274900 308892 343625 386115 412350 514820 643525 687250 772230 824700 1030875 1287050 1374500 1544460 1930575 2061750 2574100 3217625 3861150 4123500 6435250 7722300 9652875 12870500 19305750 38611500 70762009 141524018 212286027 283048036 353810045 424572054 707620090 849144108 1061430135 1415240180 1769050225 2122860270 3538100450 4245720540 5307150675 7076200900 8845251125 10614301350 17690502250 21228602700 26535753375 35381004500 53071506750 106143013500