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231231120120 = 2333571113216453
BaseRepresentation
bin1101011101011001110…
…0101110001011111000
3211002211220010222012000
43113112130232023320
512242030131320440
6254120501221000
722464060043230
oct3272634561370
9732756128160
10231231120120
118a078a36a80
1238992a01760
1318a60783500
14b297c3acc0
1560351d4730
hex35d672e2f8

231231120120 has 768 divisors, whose sum is σ = 1040629939200. Its totient is φ = 44349327360.

The previous prime is 231231120089. The next prime is 231231120139. The reversal of 231231120120 is 21021132132.

231231120120 is a `hidden beast` number, since 2 + 312 + 311 + 20 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231231120093 and 231231120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14045814 + ... + 14062266.

It is an arithmetic number, because the mean of its divisors is an integer number (1354986900).

Almost surely, 2231231120120 is an apocalyptic number.

231231120120 is a gapful number since it is divisible by the number (20) 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 231231120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520314969600).

231231120120 is an abundant number, since it is smaller than the sum of its proper divisors (809398819080).

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

231231120120 is a wasteful number, since it uses less digits than its factorization.

231231120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16517 (or 16494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231231120120 its reverse (21021132132), we get a palindrome (252252252252).

The spelling of 231231120120 in words is "two hundred thirty-one billion, two hundred thirty-one million, one hundred twenty thousand, one hundred twenty".