Search a number
-
+
1005343421112 = 233213963103071
BaseRepresentation
bin11101010000100110010…
…00110011001010111000
310120002222010000100020200
432220103020303022320
5112432420403433422
62045503130322200
7132430230040152
oct16502310631270
93502863010220
101005343421112
113584001742a8
12142a13589360
1373a5a318c94
1436931d81ad2
151b2409072ac
hexea132332b8

1005343421112 has 24 divisors (see below), whose sum is σ = 2722805099040. Its totient is φ = 335114473680.

The previous prime is 1005343421107. The next prime is 1005343421119. The reversal of 1005343421112 is 2111243435001.

1005343421112 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 434 + 211 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005343421119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6981551464 + ... + 6981551607.

It is an arithmetic number, because the mean of its divisors is an integer number (113450212460).

Almost surely, 21005343421112 is an apocalyptic number.

1005343421112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005343421112 is an abundant number, since it is smaller than the sum of its proper divisors (1717461677928).

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

1005343421112 is a wasteful number, since it uses less digits than its factorization.

1005343421112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963103083 (or 13963103076 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1005343421112 its reverse (2111243435001), we get a palindrome (3116586856113).

The spelling of 1005343421112 in words is "one trillion, five billion, three hundred forty-three million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13963103071 27926206142 41889309213 55852412284 83778618426 111704824568 125667927639 167557236852 251335855278 335114473704 502671710556 1005343421112