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1131211132220 = 22513411012713877
BaseRepresentation
bin10000011101100001011…
…100000000110100111100
311000010212001022120011202
4100131201130000310330
5122013210022212340
62223400552235032
7144504315655061
oct20354134006474
94003761276152
101131211132220
113a6820214644
121632a039ba78
1382899061850
143ca726dcc68
151e65aab3c15
hex10761700d3c

1131211132220 has 192 divisors, whose sum is σ = 2657073065472. Its totient is φ = 401863680000.

The previous prime is 1131211132217. The next prime is 1131211132231. The reversal of 1131211132220 is 222311121311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1131211132192 and 1131211132201.

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 63 ways as a sum of consecutive naturals, for example, 291772922 + ... + 291776798.

It is an arithmetic number, because the mean of its divisors is an integer number (13838922216).

Almost surely, 21131211132220 is an apocalyptic number.

1131211132220 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 1131211132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328536532736).

1131211132220 is an abundant number, since it is smaller than the sum of its proper divisors (1525861933252).

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

1131211132220 is a wasteful number, since it uses less digits than its factorization.

1131211132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1131211132220 its reverse (222311121311), we get a palindrome (1353522253531).

The spelling of 1131211132220 in words is "one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred thirty-two thousand, two hundred twenty".