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131120131000 = 2353140993059
BaseRepresentation
bin111101000011101011…
…1100110101110111000
3110112102222122210111011
41322013113212232320
54122013223143000
6140122531243304
712321164503255
oct1720727465670
9415388583434
10131120131000
1150675994131
12214b3a49534
13c497c83441
1464bc16842c
1536263742ba
hex1e875e6bb8

131120131000 has 64 divisors (see below), whose sum is σ = 307042164000. Its totient is φ = 52410265600.

The previous prime is 131120130989. The next prime is 131120131001. The reversal of 131120131000 is 131021131.

It is a super-2 number, since 2×1311201310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120131001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362471 + ... + 1455529.

Almost surely, 2131120131000 is an apocalyptic number.

131120131000 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 131120131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153521082000).

131120131000 is an abundant number, since it is smaller than the sum of its proper divisors (175922033000).

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

131120131000 is a wasteful number, since it uses less digits than its factorization.

131120131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94489 (or 94475 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131120131000 its reverse (131021131), we get a palindrome (131251152131).

The spelling of 131120131000 in words is "one hundred thirty-one billion, one hundred twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1409 2818 5636 7045 11272 14090 28180 35225 56360 70450 93059 140900 176125 186118 281800 352250 372236 465295 704500 744472 930590 1409000 1861180 2326475 3722360 4652950 9305900 11632375 18611800 23264750 46529500 93059000 131120131 262240262 524480524 655600655 1048961048 1311201310 2622402620 3278003275 5244805240 6556006550 13112013100 16390016375 26224026200 32780032750 65560065500 131120131000