Search a number
-
+
100051404000 = 2535337225341
BaseRepresentation
bin101110100101110000…
…1110100010011100000
3100120020202100221021120
41131023201310103200
53114401124412000
6113544000452240
710141236621252
oct1351341642340
9316222327246
10100051404000
1139482455749
121748301a080
139586369c02
144bb1c01cd2
1529089e06a0
hex174b8744e0

100051404000 has 192 divisors, whose sum is σ = 336628498752. Its totient is φ = 25959168000.

The previous prime is 100051403993. The next prime is 100051404041. The reversal of 100051404000 is 404150001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331330 + ... + 556670.

It is an arithmetic number, because the mean of its divisors is an integer number (1753273431).

Almost surely, 2100051404000 is an apocalyptic number.

100051404000 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 100051404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168314249376).

100051404000 is an abundant number, since it is smaller than the sum of its proper divisors (236577094752).

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

100051404000 is a wasteful number, since it uses less digits than its factorization.

100051404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225406 (or 225388 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 100051404000 its reverse (404150001), we get a palindrome (100455554001).

The spelling of 100051404000 in words is "one hundred billion, fifty-one million, four hundred four thousand".