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100200344244 = 22371113371311721
BaseRepresentation
bin101110101010001100…
…1111110101010110100
3100120122010121212212220
41131110121332222310
53120202242003434
6114010441042340
710145025605340
oct1352431765264
9316563555786
10100200344244
1139549533760
1217504a863b0
1395ab187630
144bc78d2620
152916b10d49
hex175467eab4

100200344244 has 384 divisors, whose sum is σ = 325048356864. Its totient is φ = 23182848000.

The previous prime is 100200344219. The next prime is 100200344267. The reversal of 100200344244 is 442443002001.

It is a happy number.

It is a super-2 number, since 2×1002003442442 (a number of 23 digits) contains 22 as substring.

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, 58221304 + ... + 58223024.

It is an arithmetic number, because the mean of its divisors is an integer number (846480096).

Almost surely, 2100200344244 is an apocalyptic number.

100200344244 is a gapful number since it is divisible by the number (14) 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 100200344244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162524178432).

100200344244 is an abundant number, since it is smaller than the sum of its proper divisors (224848012620).

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

100200344244 is a wasteful number, since it uses less digits than its factorization.

100200344244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100200344244 its reverse (442443002001), we get a palindrome (542643346245).

It can be divided in two parts, 100200 and 344244, that added together give a palindrome (444444).

The spelling of 100200344244 in words is "one hundred billion, two hundred million, three hundred forty-four thousand, two hundred forty-four".