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131110223020 = 225717101545429
BaseRepresentation
bin111101000011011000…
…1110011110010101100
3110112102022000102021221
41322012301303302230
54122003204114040
6140121535033124
712321014336110
oct1720661636254
9415368012257
10131110223020
1150670337117
12214b066b7a4
13c495bc472a
1464bab09740
15362556874a
hex1e86c73cac

131110223020 has 96 divisors (see below), whose sum is σ = 336473585280. Its totient is φ = 41888870400.

The previous prime is 131110222993. The next prime is 131110223033. The reversal of 131110223020 is 20322011131.

131110223020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131110222985 and 131110223003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32335 + ... + 513094.

It is an arithmetic number, because the mean of its divisors is an integer number (3504933180).

Almost surely, 2131110223020 is an apocalyptic number.

131110223020 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 131110223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168236792640).

131110223020 is an abundant number, since it is smaller than the sum of its proper divisors (205363362260).

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

131110223020 is a wasteful number, since it uses less digits than its factorization.

131110223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545563 (or 545561 counting only the distinct ones).

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

Adding to 131110223020 its reverse (20322011131), we get a palindrome (151432234151).

The spelling of 131110223020 in words is "one hundred thirty-one billion, one hundred ten million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 101 119 140 170 202 238 340 404 476 505 595 707 1010 1190 1414 1717 2020 2380 2828 3434 3535 6868 7070 8585 12019 14140 17170 24038 34340 48076 60095 120190 240380 545429 1090858 2181716 2727145 3818003 5454290 7636006 9272293 10908580 15272012 18544586 19090015 37089172 38180030 46361465 55088329 64906051 76360060 92722930 110176658 129812102 185445860 220353316 259624204 275441645 324530255 385618303 550883290 649060510 771236606 936501593 1101766580 1298121020 1542473212 1873003186 1928091515 3746006372 3856183030 4682507965 6555511151 7712366060 9365015930 13111022302 18730031860 26222044604 32777555755 65555111510 131110223020