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141134423100 = 22352111073131277
BaseRepresentation
bin1000001101110001000…
…1000110010000111100
3111111021220022112200120
42003130101012100330
54303020403014400
6144500344254540
713124304542166
oct2033421062074
9444256275616
10141134423100
115494477aaa0
1223429771450
1310402905c78
146b8c16b936
153a10606ca0
hex20dc44643c

141134423100 has 288 divisors, whose sum is σ = 451424606976. Its totient is φ = 33759897600.

The previous prime is 141134423093. The next prime is 141134423119. The reversal of 141134423100 is 1324431141.

It is a super-2 number, since 2×1411344231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110519662 + ... + 110520938.

It is an arithmetic number, because the mean of its divisors is an integer number (1567446552).

Almost surely, 2141134423100 is an apocalyptic number.

141134423100 is a gapful number since it is divisible by the number (10) 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 141134423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225712303488).

141134423100 is an abundant number, since it is smaller than the sum of its proper divisors (310290183876).

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

141134423100 is a wasteful number, since it uses less digits than its factorization.

141134423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 141134423100 its reverse (1324431141), we get a palindrome (142458854241).

The spelling of 141134423100 in words is "one hundred forty-one billion, one hundred thirty-four million, four hundred twenty-three thousand, one hundred".