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10111201331220 = 223251115140798291
BaseRepresentation
bin1001001100100011001010…
…0100000100100000010100
31022210121210000011011211100
42103020302210010200110
52311130220020044340
633301004411310100
72062336665146163
oct223106244044024
938717700134740
1010111201331220
11324915560a050
121173750a4b330
135846364c47b2
1426d555aab3da
1512803773a830
hex93232904814

10111201331220 has 288 divisors, whose sum is σ = 33692786749440. Its totient is φ = 2434076640000.

The previous prime is 10111201331219. The next prime is 10111201331227. The reversal of 10111201331220 is 2213310211101.

10111201331220 is a `hidden beast` number, since 1 + 0 + 1 + 112 + 0 + 1 + 331 + 220 = 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 = 10111201331193 and 10111201331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111201331227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1219535275 + ... + 1219543565.

It is an arithmetic number, because the mean of its divisors is an integer number (116988842880).

Almost surely, 210111201331220 is an apocalyptic number.

10111201331220 is a gapful number since it is divisible by the number (10) 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 10111201331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846393374720).

10111201331220 is an abundant number, since it is smaller than the sum of its proper divisors (23581585418220).

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

10111201331220 is a wasteful number, since it uses less digits than its factorization.

10111201331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12542 counting only the distinct ones).

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

Adding to 10111201331220 its reverse (2213310211101), we get a palindrome (12324511542321).

The spelling of 10111201331220 in words is "ten trillion, one hundred eleven billion, two hundred one million, three hundred thirty-one thousand, two hundred twenty".