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101032230200 = 235211193177969
BaseRepresentation
bin101111000010111111…
…1010111110100111000
3100122210002222001212212
41132011333113310320
53123403222331300
6114225155154252
710204446533666
oct1360577276470
9318702861785
10101032230200
1139936072a10
12176b75a5988
1396b1622a45
144c6619bc36
152964b85935
hex1785fd7d38

101032230200 has 192 divisors, whose sum is σ = 278446464000. Its totient is φ = 33682176000.

The previous prime is 101032230199. The next prime is 101032230227. The reversal of 101032230200 is 2032230101.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1256816 + ... + 1334784.

It is an arithmetic number, because the mean of its divisors is an integer number (1450242000).

Almost surely, 2101032230200 is an apocalyptic number.

101032230200 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 101032230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139223232000).

101032230200 is an abundant number, since it is smaller than the sum of its proper divisors (177414233800).

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

101032230200 is a wasteful number, since it uses less digits than its factorization.

101032230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78046 (or 78037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101032230200 its reverse (2032230101), we get a palindrome (103064460301).

Subtracting from 101032230200 its reverse (2032230101), we obtain a palindrome (99000000099).

The spelling of 101032230200 in words is "one hundred one billion, thirty-two million, two hundred thirty thousand, two hundred".