Search a number
-
+
104153140331200 = 2652171012375371
BaseRepresentation
bin10111101011101000001010…
…111011101000001011000000
3111122202221110102120002122101
4113223220022323220023000
5102122421112411044300
61005303143033320144
730636546624402232
oct2753501273501300
9448687412502571
10104153140331200
113020610a4a5234
12b8216abb66054
1346167a2c9a36c
141ba10789d8252
15c093dedbcb6a
hex5eba0aee82c0

104153140331200 has 252 divisors, whose sum is σ = 274071258502056. Its totient is φ = 38822266880000.

The previous prime is 104153140331173. The next prime is 104153140331257. The reversal of 104153140331200 is 2133041351401.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 277279515 + ... + 277654885.

Almost surely, 2104153140331200 is an apocalyptic number.

104153140331200 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 104153140331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137035629251028).

104153140331200 is an abundant number, since it is smaller than the sum of its proper divisors (169918118170856).

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

104153140331200 is a wasteful number, since it uses less digits than its factorization.

104153140331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375612 (or 375496 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 104153140331200 its reverse (2133041351401), we get a palindrome (106286181682601).

The spelling of 104153140331200 in words is "one hundred four trillion, one hundred fifty-three billion, one hundred forty million, three hundred thirty-one thousand, two hundred".