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231101310213312 = 26371142433684151
BaseRepresentation
bin110100100010111101110111…
…100000001001110011000000
31010022021001212122210022120020
4310202331313200021303000
5220242330440403311222
62135302250512413440
766451342622250330
oct6442756740116300
91108231778708506
10231101310213312
11676aa5738a9010
1221b04b95247280
139bc49b5a79036
14410d5124970c0
151bab71e87565c
hexd22f77809cc0

231101310213312 has 224 divisors, whose sum is σ = 762514067779584. Its totient is φ = 60012150912000.

The previous prime is 231101310213133. The next prime is 231101310213409. The reversal of 231101310213312 is 213312013101132.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60886437 + ... + 64570587.

Almost surely, 2231101310213312 is an apocalyptic number.

231101310213312 is a gapful number since it is divisible by the number (22) 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 231101310213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381257033889792).

231101310213312 is an abundant number, since it is smaller than the sum of its proper divisors (531412757566272).

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

231101310213312 is a wasteful number, since it uses less digits than its factorization.

231101310213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688427 (or 3688417 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 231101310213312 its reverse (213312013101132), we get a palindrome (444413323314444).

The spelling of 231101310213312 in words is "two hundred thirty-one trillion, one hundred one billion, three hundred ten million, two hundred thirteen thousand, three hundred twelve".