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13541322350232 = 233319291131006879
BaseRepresentation
bin1100010100001101010110…
…1101010101111010011000
31202221112112001000010112000
43011003111231111322120
53233330112010201412
644444444141121000
72565220406560245
oct305032555257230
952845461003460
1013541322350232
11435092a499566
121628495559160
13772c30b1a7b1
1434b5912b45cc
15187392e094dc
hexc50d5b55e98

13541322350232 has 256 divisors, whose sum is σ = 41322355200000. Its totient is φ = 4092209952768.

The previous prime is 13541322350221. The next prime is 13541322350239. The reversal of 13541322350232 is 23205322314531.

13541322350232 is a `hidden beast` number, since 1 + 3 + 5 + 41 + 32 + 2 + 350 + 232 = 666.

13541322350232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13541322350239) 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, 12945369 + ... + 13952247.

It is an arithmetic number, because the mean of its divisors is an integer number (161415450000).

Almost surely, 213541322350232 is an apocalyptic number.

13541322350232 is a gapful number since it is divisible by the number (12) 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 13541322350232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661177600000).

13541322350232 is an abundant number, since it is smaller than the sum of its proper divisors (27781032849768).

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

13541322350232 is a wasteful number, since it uses less digits than its factorization.

13541322350232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007055 (or 1007045 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13541322350232 its reverse (23205322314531), we get a palindrome (36746644664763).

The spelling of 13541322350232 in words is "thirteen trillion, five hundred forty-one billion, three hundred twenty-two million, three hundred fifty thousand, two hundred thirty-two".