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211420213020 = 223354323573863
BaseRepresentation
bin1100010011100110100…
…0000110111100011100
3202012201020102121122000
43010321220012330130
511430442033304040
6241043004522300
721163122105462
oct3047150067434
9665636377560
10211420213020
1181732220285
1234b84250390
1316c24314483
14a338ad8832
155775d6b130
hex3139a06f1c

211420213020 has 192 divisors, whose sum is σ = 673508183040. Its totient is φ = 55029977856.

The previous prime is 211420213003. The next prime is 211420213021. The reversal of 211420213020 is 20312024112.

It is a happy number.

211420213020 is a `hidden beast` number, since 2 + 11 + 420 + 213 + 0 + 20 = 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 = 211420212984 and 211420213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211420213021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54727609 + ... + 54731471.

It is an arithmetic number, because the mean of its divisors is an integer number (3507855120).

Almost surely, 2211420213020 is an apocalyptic number.

211420213020 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 211420213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336754091520).

211420213020 is an abundant number, since it is smaller than the sum of its proper divisors (462087970020).

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

211420213020 is a wasteful number, since it uses less digits than its factorization.

211420213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6273 counting only the distinct ones).

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

Adding to 211420213020 its reverse (20312024112), we get a palindrome (231732237132).

The spelling of 211420213020 in words is "two hundred eleven billion, four hundred twenty million, two hundred thirteen thousand, twenty".