Search a number
-
+
1230340700160 = 211345112132341
BaseRepresentation
bin10001111001110110000…
…001010011100000000000
311100121201120002101010000
4101321312001103200000
5130124214204401120
62341113303040000
7154613663253555
oct21716601234000
94317646071100
101230340700160
1143486a283200
1217a546740000
138c03642b020
1443797cdca2c
152200d6b2990
hex11e76053800

1230340700160 has 2880 divisors, whose sum is σ = 5579955501120. Its totient is φ = 256927334400.

The previous prime is 1230340700159. The next prime is 1230340700161. The reversal of 1230340700160 is 610070430321.

It is an interprime number because it is at equal distance from previous prime (1230340700159) and next prime (1230340700161).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230340700161) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30008309740 + ... + 30008309780.

It is an arithmetic number, because the mean of its divisors is an integer number (1937484549).

Almost surely, 21230340700160 is an apocalyptic number.

1230340700160 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 1230340700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789977750560).

1230340700160 is an abundant number, since it is smaller than the sum of its proper divisors (4349614800960).

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

1230340700160 is a wasteful number, since it uses less digits than its factorization.

1230340700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 1230340700160 in words is "one trillion, two hundred thirty billion, three hundred forty million, seven hundred thousand, one hundred sixty".