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132231023133000 = 23353112364272791
BaseRepresentation
bin11110000100001101101111…
…001010011000000101001000
3122100012011101100122021020020
4132010031233022120011020
5114312433113410224000
61145122032102300440
736565243010351451
oct3604155712300510
9570164340567206
10132231023133000
1139150953337200
12129b7312127720
1358a244147a14c
142492030dc8128
151044974374ba0
hex78436f298148

132231023133000 has 192 divisors, whose sum is σ = 453475913304960. Its totient is φ = 32056005520000.

The previous prime is 132231023132977. The next prime is 132231023133047. The reversal of 132231023133000 is 331320132231.

It is a super-3 number, since 3×1322310231330003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181773396 + ... + 182499395.

It is an arithmetic number, because the mean of its divisors is an integer number (2361853715130).

Almost surely, 2132231023133000 is an apocalyptic number.

132231023133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132231023133000 is an abundant number, since it is smaller than the sum of its proper divisors (321244890171960).

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

132231023133000 is a wasteful number, since it uses less digits than its factorization.

132231023133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364272837 (or 364272812 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132231023133000 its reverse (331320132231), we get a palindrome (132562343265231).

The spelling of 132231023133000 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, twenty-three million, one hundred thirty-three thousand".