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212111311320 = 233251799734763
BaseRepresentation
bin1100010110001011010…
…0011100000111011000
3202021111101212001021100
43011202310130013120
511433400443430240
6241235333311400
721216213253356
oct3054264340730
9667441761240
10212111311320
1181a5733a6a7
1235137795560
1317004557b8c
14a3a27d67d6
1557b6880e30
hex3162d1c1d8

212111311320 has 192 divisors, whose sum is σ = 730665580320. Its totient is φ = 53180854272.

The previous prime is 212111311319. The next prime is 212111311333. The reversal of 212111311320 is 23113111212.

212111311320 is a `hidden beast` number, since 2 + 1 + 21 + 11 + 311 + 320 = 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 = 212111311293 and 212111311302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6084259 + ... + 6119021.

Almost surely, 2212111311320 is an apocalyptic number.

212111311320 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 212111311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365332790160).

212111311320 is an abundant number, since it is smaller than the sum of its proper divisors (518554269000).

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

212111311320 is a wasteful number, since it uses less digits than its factorization.

212111311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35794 (or 35787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212111311320 its reverse (23113111212), we get a palindrome (235224422532).

The spelling of 212111311320 in words is "two hundred twelve billion, one hundred eleven million, three hundred eleven thousand, three hundred twenty".