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145100521500 = 223531157115401
BaseRepresentation
bin1000011100100010101…
…0100100000000011100
3111212112022020012212220
42013020222210000130
54334131213142000
6150354103425340
713324504040244
oct2071052440034
9455468205786
10145100521500
115659a509470
1224155a55250
13108b54b785c
147046bb8b24
153b938d21a0
hex21c8aa401c

145100521500 has 192 divisors, whose sum is σ = 461782024704. Its totient is φ = 35112000000.

The previous prime is 145100521483. The next prime is 145100521537. The reversal of 145100521500 is 5125001541.

It is a super-2 number, since 2×1451005215002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9413800 + ... + 9429200.

It is an arithmetic number, because the mean of its divisors is an integer number (2405114712).

Almost surely, 2145100521500 is an apocalyptic number.

145100521500 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 145100521500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230891012352).

145100521500 is an abundant number, since it is smaller than the sum of its proper divisors (316681503204).

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

145100521500 is a wasteful number, since it uses less digits than its factorization.

145100521500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 15993 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 145100521500 in words is "one hundred forty-five billion, one hundred million, five hundred twenty-one thousand, five hundred".