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210004113420 = 223258997149907
BaseRepresentation
bin1100001110010100111…
…0000111100000001100
3202002001112210022011200
43003211032013200030
511420042023112140
6240250300545500
721113045340303
oct3034516074014
9662045708150
10210004113420
1181075935732
1234849b52290
1316a59b19a0a
14a2429d543a
1556e1896030
hex30e538780c

210004113420 has 288 divisors, whose sum is σ = 655901064000. Its totient is φ = 54373220352.

The previous prime is 210004113419. The next prime is 210004113493. The reversal of 210004113420 is 24311400012.

210004113420 is a `hidden beast` number, since 210 + 0 + 0 + 411 + 3 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210004113393 and 210004113402.

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, 231536607 + ... + 231537513.

It is an arithmetic number, because the mean of its divisors is an integer number (2277434250).

Almost surely, 2210004113420 is an apocalyptic number.

210004113420 is a gapful number since it is divisible by the number (20) 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 210004113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327950532000).

210004113420 is an abundant number, since it is smaller than the sum of its proper divisors (445896950580).

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

210004113420 is a wasteful number, since it uses less digits than its factorization.

210004113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210004113420 its reverse (24311400012), we get a palindrome (234315513432).

The spelling of 210004113420 in words is "two hundred ten billion, four million, one hundred thirteen thousand, four hundred twenty".