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214021505130600 = 233521764732430449
BaseRepresentation
bin110000101010011011000011…
…110010011010000001101000
31001001210020220200020211121110
4300222123003302122001220
5211023012020303134400
62035104042214110320
763036354261406056
oct6052330362320150
91031706820224543
10214021505130600
1162215013131942
122000697504b3a0
1392561ab68807b
143abc9a62151d6
1519b22cce17e50
hexc2a6c3c9a068

214021505130600 has 192 divisors, whose sum is σ = 703579909968000. Its totient is φ = 53632177684480.

The previous prime is 214021505130581. The next prime is 214021505130607. The reversal of 214021505130600 is 6031505120412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214021505130607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9615825 + ... + 22814624.

It is an arithmetic number, because the mean of its divisors is an integer number (3664478697750).

Almost surely, 2214021505130600 is an apocalyptic number.

214021505130600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214021505130600 is an abundant number, since it is smaller than the sum of its proper divisors (489558404837400).

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

214021505130600 is a wasteful number, since it uses less digits than its factorization.

214021505130600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32431132 (or 32431123 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 214021505130600 in words is "two hundred fourteen trillion, twenty-one billion, five hundred five million, one hundred thirty thousand, six hundred".