Search a number
-
+
109383539200 = 2952134116033
BaseRepresentation
bin110010111011111000…
…1000101101000000000
3101110100010102112010121
41211313301011220000
53243004141223300
6122130004510024
710621424512435
oct1456761055000
9343303375117
10109383539200
1142431179a81
12192483ab314
13a412889ac0
145419393b8c
152ca2e2781a
hex1977c45a00

109383539200 has 240 divisors, whose sum is σ = 298989910296. Its totient is φ = 39400243200.

The previous prime is 109383539197. The next prime is 109383539203. The reversal of 109383539200 is 2935383901.

It is an interprime number because it is at equal distance from previous prime (109383539197) and next prime (109383539203).

It can be written as a sum of positive squares in 12 ways, for example, as 33991559424 + 75391979776 = 184368^2 + 274576^2 .

It is not an unprimeable number, because it can be changed into a prime (109383539203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6814384 + ... + 6830416.

Almost surely, 2109383539200 is an apocalyptic number.

109383539200 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 109383539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149494955148).

109383539200 is an abundant number, since it is smaller than the sum of its proper divisors (189606371096).

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

109383539200 is a wasteful number, since it uses less digits than its factorization.

109383539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16115 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 109383539200 in words is "one hundred nine billion, three hundred eighty-three million, five hundred thirty-nine thousand, two hundred".