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101420321400 = 233352139135119
BaseRepresentation
bin101111001110100011…
…1110100101001111000
3100200210011020010221000
41132131013310221320
53130202100241100
6114331501245000
710220201336136
oct1363507645170
9320704203830
10101420321400
113a015144642
12177a5563760
139743b549c8
144ca1942756
152988c95900
hex179d1f4a78

101420321400 has 192 divisors, whose sum is σ = 351852480000. Its totient is φ = 26850648960.

The previous prime is 101420321399. The next prime is 101420321417. The reversal of 101420321400 is 4123024101.

101420321400 is a `hidden beast` number, since 101 + 420 + 3 + 2 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683041 + ... + 818159.

It is an arithmetic number, because the mean of its divisors is an integer number (1832565000).

Almost surely, 2101420321400 is an apocalyptic number.

101420321400 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 101420321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175926240000).

101420321400 is an abundant number, since it is smaller than the sum of its proper divisors (250432158600).

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

101420321400 is a wasteful number, since it uses less digits than its factorization.

101420321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135283 (or 135268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101420321400 its reverse (4123024101), we get a palindrome (105543345501).

The spelling of 101420321400 in words is "one hundred one billion, four hundred twenty million, three hundred twenty-one thousand, four hundred".