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231231132132 = 223711313236917
BaseRepresentation
bin1101011101011001110…
…0110001000111100100
3211002211220011120122220
43113112130301013210
512242030132212012
6254120501352340
722464060123240
oct3272634610744
9732756146586
10231231132132
118a078a45000
1238992a086b0
1318a60788b10
14b297c41420
1560351d808c
hex35d67311e4

231231132132 has 384 divisors, whose sum is σ = 762270179328. Its totient is φ = 53021928960.

The previous prime is 231231132131. The next prime is 231231132137.

231231132132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231231132131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33425938 + ... + 33432854.

It is an arithmetic number, because the mean of its divisors is an integer number (1985078592).

Almost surely, 2231231132132 is an apocalyptic number.

231231132132 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 231231132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381135089664).

231231132132 is an abundant number, since it is smaller than the sum of its proper divisors (531039047196).

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

231231132132 is a wasteful number, since it uses less digits than its factorization.

231231132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6976 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 231231 and 132132, that added together give a palindrome (363363).

The spelling of 231231132132 in words is "two hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-two".