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23124211242132 = 223711131993965927
BaseRepresentation
bin1010100001000000001100…
…11001011001010010010100
310000212122122001002122210010
411100200012121121102110
511012331341034222012
6121103041015400220
74604445340304160
oct520400631312224
9100778561078703
1023124211242132
117405a17443430
122715763683070
13cb97b0611a40
1459d3098bbca0
152a17a9130c3c
hex150806659494

23124211242132 has 192 divisors, whose sum is σ = 72481506177024. Its totient is φ = 5541478824960.

The previous prime is 23124211242131. The next prime is 23124211242173.

23124211242132 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23124211242132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23124211242131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23456953 + ... + 24422879.

It is an arithmetic number, because the mean of its divisors is an integer number (377507844672).

Almost surely, 223124211242132 is an apocalyptic number.

23124211242132 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 23124211242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240753088512).

23124211242132 is an abundant number, since it is smaller than the sum of its proper divisors (49357294934892).

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

23124211242132 is a wasteful number, since it uses less digits than its factorization.

23124211242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967958 (or 967956 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2312421 and 1242132, that added together give a palindrome (3554553).

The spelling of 23124211242132 in words is "twenty-three trillion, one hundred twenty-four billion, two hundred eleven million, two hundred forty-two thousand, one hundred thirty-two".