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210233110120 = 235112714431381
BaseRepresentation
bin1100001111001011011…
…1101010111001101000
3202002122111200112120221
43003302313222321220
511421024134010440
6240325121055424
721121525644205
oct3036267527150
9662574615527
10210233110120
1181183123300
12348b2787574
1316a953b7417
14a2651a4cac
155706a2bd4a
hex30f2deae68

210233110120 has 192 divisors, whose sum is σ = 528831918720. Its totient is φ = 75147072000.

The previous prime is 210233110117. The next prime is 210233110177. The reversal of 210233110120 is 21011332012.

It is a junction number, because it is equal to n+sod(n) for n = 210233110094 and 210233110103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152231830 + ... + 152233210.

It is an arithmetic number, because the mean of its divisors is an integer number (2754332910).

Almost surely, 2210233110120 is an apocalyptic number.

210233110120 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 210233110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264415959360).

210233110120 is an abundant number, since it is smaller than the sum of its proper divisors (318598808600).

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

210233110120 is a wasteful number, since it uses less digits than its factorization.

210233110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210233110120 its reverse (21011332012), we get a palindrome (231244442132).

The spelling of 210233110120 in words is "two hundred ten billion, two hundred thirty-three million, one hundred ten thousand, one hundred twenty".