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29118100 = 225211103257
BaseRepresentation
bin110111100010…
…0111010010100
32000210100112011
41233010322110
524423234400
62520034004
7502333264
oct157047224
960710464
1029118100
1115488950
129902904
13605675b
143c1d7a4
1528528ba
hex1bc4e94

29118100 has 72 divisors (see below), whose sum is σ = 69870528. Its totient is φ = 10444800.

The previous prime is 29118091. The next prime is 29118107. The reversal of 29118100 is 181192.

It is a super-2 number, since 2×291181002 = 1695727495220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29118107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113172 + ... + 113428.

It is an arithmetic number, because the mean of its divisors is an integer number (970424).

Almost surely, 229118100 is an apocalyptic number.

29118100 is a gapful number since it is divisible by the number (20) 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 29118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34935264).

29118100 is an abundant number, since it is smaller than the sum of its proper divisors (40752428).

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

29118100 is a wasteful number, since it uses less digits than its factorization.

29118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 29118100 is about 5396.1189757084. The cubic root of 29118100 is about 307.6481758821.

Adding to 29118100 its reverse (181192), we get a palindrome (29299292).

It can be divided in two parts, 2911 and 8100, that added together give a palindrome (11011).

The spelling of 29118100 in words is "twenty-nine million, one hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 257 275 412 514 515 550 1028 1030 1100 1133 1285 2060 2266 2570 2575 2827 4532 5140 5150 5654 5665 6425 10300 11308 11330 12850 14135 22660 25700 26471 28270 28325 52942 56540 56650 70675 105884 113300 132355 141350 264710 282700 291181 529420 582362 661775 1164724 1323550 1455905 2647100 2911810 5823620 7279525 14559050 29118100