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131220111020 = 225171013821203
BaseRepresentation
bin111101000110101010…
…0111111111010101100
3110112200221210022021212
41322031110333322230
54122214322023040
6140140502213552
712323520353225
oct1721524777254
9415627708255
10131220111020
1150717371649
12215214242b8
13c4b28bab0b
1464cb55224c
153630022d65
hex1e8d53feac

131220111020 has 48 divisors (see below), whose sum is σ = 294660682848. Its totient is φ = 48911385600.

The previous prime is 131220110999. The next prime is 131220111023. The reversal of 131220111020 is 20111022131.

It is a super-2 number, since 2×1312201110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131220110986 and 131220111004.

It is not an unprimeable number, because it can be changed into a prime (131220111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876262 + ... + 1944941.

It is an arithmetic number, because the mean of its divisors is an integer number (6138764226).

Almost surely, 2131220111020 is an apocalyptic number.

131220111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131220111020 is an abundant number, since it is smaller than the sum of its proper divisors (163440571828).

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

131220111020 is a wasteful number, since it uses less digits than its factorization.

131220111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821330 (or 3821328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131220111020 its reverse (20111022131), we get a palindrome (151331133151).

The spelling of 131220111020 in words is "one hundred thirty-one billion, two hundred twenty million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 3821203 7642406 15284812 19106015 38212030 64960451 76424060 129920902 259841804 324802255 385941503 649604510 771883006 1299209020 1543766012 1929707515 3859415030 6561005551 7718830060 13122011102 26244022204 32805027755 65610055510 131220111020