Search a number
-
+
101120403000 = 233531773157173
BaseRepresentation
bin101111000101100111…
…1101110011000111000
3100200000020212201020010
41132023033232120320
53124043310344000
6114242025101520
710206600146361
oct1361317563070
9320006781203
10101120403000
11399809164a1
12177210278a0
1396c69850b6
144c73b90b68
15296c7a0d50
hex178b3ee638

101120403000 has 512 divisors, whose sum is σ = 342757059840. Its totient is φ = 24728371200.

The previous prime is 101120402959. The next prime is 101120403011. The reversal of 101120403000 is 304021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 584510914 + ... + 584511086.

Almost surely, 2101120403000 is an apocalyptic number.

101120403000 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 101120403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171378529920).

101120403000 is an abundant number, since it is smaller than the sum of its proper divisors (241636656840).

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

101120403000 is a wasteful number, since it uses less digits than its factorization.

101120403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101120403000 its reverse (304021101), we get a palindrome (101424424101).

The spelling of 101120403000 in words is "one hundred one billion, one hundred twenty million, four hundred three thousand".