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30111131232 = 25327131935953
BaseRepresentation
bin11100000010110000…
…110110011001100000
32212201111101221202200
4130002300312121200
5443131422144412
621455522013200
72114116251420
oct340260663140
985644357680
1030111131232
1111851a48626
125a041a7200
132abb405320
1416590d6480
15bb377b9dc
hex702c36660

30111131232 has 288 divisors, whose sum is σ = 105952811328. Its totient is φ = 7898923008.

The previous prime is 30111131093. The next prime is 30111131243. The reversal of 30111131232 is 23213111103.

30111131232 is a `hidden beast` number, since 301 + 1 + 1 + 131 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5055168 + ... + 5061120.

It is an arithmetic number, because the mean of its divisors is an integer number (367891706).

Almost surely, 230111131232 is an apocalyptic number.

30111131232 is a gapful number since it is divisible by the number (32) 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 30111131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52976405664).

30111131232 is an abundant number, since it is smaller than the sum of its proper divisors (75841680096).

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

30111131232 is a wasteful number, since it uses less digits than its factorization.

30111131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30111131232 its reverse (23213111103), we get a palindrome (53324242335).

The spelling of 30111131232 in words is "thirty billion, one hundred eleven million, one hundred thirty-one thousand, two hundred thirty-two".