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231212003220 = 22325113710632969
BaseRepresentation
bin1101011101010101001…
…1110010111110010100
3211002210120011201201200
43113111103302332110
512242010233100340
6254114535352500
722463435412642
oct3272523627624
9732716151650
10231212003220
118a06916a190
1238988522730
1318a5981c033
14b2954a2192
1560336aa330
hex35d54f2f94

231212003220 has 288 divisors, whose sum is σ = 786784078080. Its totient is φ = 54466836480.

The previous prime is 231212003167. The next prime is 231212003261. The reversal of 231212003220 is 22300212132.

231212003220 is a `hidden beast` number, since 23 + 121 + 200 + 322 + 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 = 231212003193 and 231212003202.

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, 77873896 + ... + 77876864.

It is an arithmetic number, because the mean of its divisors is an integer number (2731889160).

Almost surely, 2231212003220 is an apocalyptic number.

231212003220 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 231212003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393392039040).

231212003220 is an abundant number, since it is smaller than the sum of its proper divisors (555572074860).

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

231212003220 is a wasteful number, since it uses less digits than its factorization.

231212003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231212003220 its reverse (22300212132), we get a palindrome (253512215352).

The spelling of 231212003220 in words is "two hundred thirty-one billion, two hundred twelve million, three thousand, two hundred twenty".