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45013343100 = 223521128913933
BaseRepresentation
bin101001111011000000…
…010001101101111100
311022012001112202100120
4221323000101231330
51214141403434400
632402344054540
73152321050305
oct517300215574
9138161482316
1045013343100
11180a9949a00
128882a64450
13432490357b
1422703437ac
151286bc6ca0
hexa7b011b7c

45013343100 has 216 divisors, whose sum is σ = 144773702640. Its totient is φ = 10788940800.

The previous prime is 45013343083. The next prime is 45013343107. The reversal of 45013343100 is 134331054.

It is a happy number.

45013343100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×450133431004 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45013343107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3223734 + ... + 3237666.

Almost surely, 245013343100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45013343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72386851320).

45013343100 is an abundant number, since it is smaller than the sum of its proper divisors (99760359540).

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

45013343100 is a wasteful number, since it uses less digits than its factorization.

45013343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 45013343100 its reverse (134331054), we get a palindrome (45147674154).

The spelling of 45013343100 in words is "forty-five billion, thirteen million, three hundred forty-three thousand, one hundred".