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131101120120 = 23529532132419
BaseRepresentation
bin111101000011000111…
…1000101011001111000
3110112101122212221110111
41322012033011121320
54121443341320440
6140121011554104
712320544064045
oct1720617053170
9415348787414
10131101120120
1150666189a63
12214a95bb934
13c4940582b9
1464b981a1cc
15362486b4ea
hex1e863c5678

131101120120 has 64 divisors (see below), whose sum is σ = 310906836000. Its totient is φ = 49676809728.

The previous prime is 131101120063. The next prime is 131101120187. The reversal of 131101120120 is 21021101131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131101120120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004730 + ... + 1127689.

Almost surely, 2131101120120 is an apocalyptic number.

131101120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101120120 is an abundant number, since it is smaller than the sum of its proper divisors (179805715880).

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

131101120120 is a wasteful number, since it uses less digits than its factorization.

131101120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132512 (or 2132508 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 131101120120 its reverse (21021101131), we get a palindrome (152122221251).

The spelling of 131101120120 in words is "one hundred thirty-one billion, one hundred one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 3074 6148 7685 12296 15370 30740 61480 2132419 4264838 8529676 10662095 17059352 21324190 42648380 61840151 85296760 113018207 123680302 226036414 247360604 309200755 452072828 494721208 565091035 618401510 904145656 1130182070 1236803020 2260364140 2473606040 3277528003 4520728280 6555056006 13110112012 16387640015 26220224024 32775280030 65550560060 131101120120