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131133220000 = 255420693169
BaseRepresentation
bin111101000100000100…
…1100010010010100000
3110112110220021210012221
41322020021202102200
54122030101020000
6140124120000424
712321413656516
oct1721011422240
9415426253187
10131133220000
1150682314092
12214b8300114
13c49a8b7003
1464bdbb44b6
1536275ac61a
hex1e882624a0

131133220000 has 120 divisors (see below), whose sum is σ = 322865165700. Its totient is φ = 52411392000.

The previous prime is 131133219989. The next prime is 131133220021. The reversal of 131133220000 is 22331131.

It can be written as a sum of positive squares in 10 ways, for example, as 11093144976 + 120040075024 = 105324^2 + 346468^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41378416 + ... + 41381584.

Almost surely, 2131133220000 is an apocalyptic number.

131133220000 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 131133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161432582850).

131133220000 is an abundant number, since it is smaller than the sum of its proper divisors (191731945700).

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

131133220000 is an equidigital number, since it uses as much as digits as its factorization.

131133220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131133220000 its reverse (22331131), we get a palindrome (131155551131).

The spelling of 131133220000 in words is "one hundred thirty-one billion, one hundred thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2069 2500 3169 4000 4138 5000 6338 8276 10000 10345 12676 15845 16552 20000 20690 25352 31690 33104 41380 50704 51725 63380 66208 79225 82760 101408 103450 126760 158450 165520 206900 253520 258625 316900 331040 396125 413800 507040 517250 633800 792250 827600 1034500 1267600 1293125 1584500 1655200 1980625 2069000 2535200 2586250 3169000 3961250 4138000 5172500 6338000 6556661 7922500 8276000 10345000 12676000 13113322 15845000 20690000 26226644 31690000 32783305 41380000 52453288 63380000 65566610 104906576 131133220 163916525 209813152 262266440 327833050 524532880 655666100 819582625 1049065760 1311332200 1639165250 2622664400 3278330500 4097913125 5245328800 6556661000 8195826250 13113322000 16391652500 26226644000 32783305000 65566610000 131133220000