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30101114411100 = 223352449160715451
BaseRepresentation
bin1101101100000011101100…
…01110110101100001011100
310221120122020102022001101000
412312001312032311201130
512421134040242123400
6144004132215550300
76224506450611525
oct666016616654134
9127518212261330
1030101114411100
1196558a1394767
12346196a38b390
1313a46a4aa6c35
14760c8a41b84c
15372eebc94600
hex1b60763b585c

30101114411100 has 288 divisors, whose sum is σ = 97051663296000. Its totient is φ = 8003584512000.

The previous prime is 30101114411033. The next prime is 30101114411107. The reversal of 30101114411100 is 111441110103.

30101114411100 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 111 + 441 + 110 + 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 not an unprimeable number, because it can be changed into a prime (30101114411107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1948158375 + ... + 1948173825.

It is an arithmetic number, because the mean of its divisors is an integer number (336984942000).

Almost surely, 230101114411100 is an apocalyptic number.

30101114411100 is a gapful number since it is divisible by the number (30) 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 30101114411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48525831648000).

30101114411100 is an abundant number, since it is smaller than the sum of its proper divisors (66950548884900).

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

30101114411100 is a wasteful number, since it uses less digits than its factorization.

30101114411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17530 (or 17517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 30101114411100 its reverse (111441110103), we get a palindrome (30212555521203).

The spelling of 30101114411100 in words is "thirty trillion, one hundred one billion, one hundred fourteen million, four hundred eleven thousand, one hundred".