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211021211212020 = 223551125115726187
BaseRepresentation
bin101111111110110000110100…
…010101011001100011110100
31000200011102122000220221200000
4233332300310111121203310
5210124332420032241040
62024445450042551300
762306531222031336
oct5776606425314364
91020142560827600
10211021211212020
1161268658465850
121b8013a8808530
1390992a3ca9461
143a176a428d456
15195e22c9b7130
hexbfec345598f4

211021211212020 has 288 divisors, whose sum is σ = 727036013523456. Its totient is φ = 50952842640000.

The previous prime is 211021211212003. The next prime is 211021211212037. The reversal of 211021211212020 is 20212112120112.

211021211212020 is a `hidden beast` number, since 211 + 0 + 21 + 211 + 21 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211021211212003) and next prime (211021211212037).

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 = 211021211211984 and 211021211212002.

It is a congruent number.

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, 5555367 + ... + 21281553.

It is an arithmetic number, because the mean of its divisors is an integer number (2524430602512).

Almost surely, 2211021211212020 is an apocalyptic number.

211021211212020 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 211021211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363518006761728).

211021211212020 is an abundant number, since it is smaller than the sum of its proper divisors (516014802311436).

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

211021211212020 is a wasteful number, since it uses less digits than its factorization.

211021211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15726473 (or 15726459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211021211212020 its reverse (20212112120112), we get a palindrome (231233323332132).

The spelling of 211021211212020 in words is "two hundred eleven trillion, twenty-one billion, two hundred eleven million, two hundred twelve thousand, twenty".