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101002230133200 = 2432521137257926729
BaseRepresentation
bin10110111101110001101010…
…000011000111000111010000
3111020121201102002010110101200
4112331301222003013013100
5101214310031403230300
6554451441200431200
730163112263542324
oct2675615203070720
9436551362113350
10101002230133200
112a200894873160
12b3b2aaa618500
134448614463916
141ad27694db984
15ba2476c06200
hex5bdc6a0c71d0

101002230133200 has 720 divisors, whose sum is σ = 392871248827200. Its totient is φ = 23813493350400.

The previous prime is 101002230133193. The next prime is 101002230133271. The reversal of 101002230133200 is 2331032200101.

101002230133200 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 22 + 301 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3778737436 + ... + 3778764164.

It is an arithmetic number, because the mean of its divisors is an integer number (545654512260).

Almost surely, 2101002230133200 is an apocalyptic number.

101002230133200 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 101002230133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196435624413600).

101002230133200 is an abundant number, since it is smaller than the sum of its proper divisors (291869018694000).

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

101002230133200 is a wasteful number, since it uses less digits than its factorization.

101002230133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29380 (or 29366 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101002230133200 its reverse (2331032200101), we get a palindrome (103333262333301).

The spelling of 101002230133200 in words is "one hundred one trillion, two billion, two hundred thirty million, one hundred thirty-three thousand, two hundred".