Search a number
-
+
109901100 = 22352379901
BaseRepresentation
bin1101000110011…
…11010100101100
321122210112222010
412203033110230
5211113313400
614523321220
72503100241
oct643172454
9248715863
10109901100
1157044361
1230980210
13199cc34a
141084b5c8
1599ad450
hex68cf52c

109901100 has 72 divisors (see below), whose sum is σ = 326607568. Its totient is φ = 28512000.

The previous prime is 109901089. The next prime is 109901117. The reversal of 109901100 is 1109901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6150 + ... + 16050.

Almost surely, 2109901100 is an apocalyptic number.

109901100 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 109901100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163303784).

109901100 is an abundant number, since it is smaller than the sum of its proper divisors (216706468).

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

109901100 is a wasteful number, since it uses less digits than its factorization.

109901100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 109901100 is about 10483.3725489463. The cubic root of 109901100 is about 478.9983452479.

It can be divided in two parts, 10990 and 1100, that added together give a triangular number (12090 = T155).

The spelling of 109901100 in words is "one hundred nine million, nine hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 9901 11100 19802 29703 39604 49505 59406 99010 118812 148515 198020 247525 297030 366337 495050 594060 732674 742575 990100 1099011 1465348 1485150 1831685 2198022 2970300 3663370 4396044 5495055 7326740 9158425 10990110 18316850 21980220 27475275 36633700 54950550 109901100