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131110101234 = 232747142915493
BaseRepresentation
bin111101000011011000…
…1010110000011110010
3110112102021210020020100
41322012301112003302
54122003141214414
6140121532253230
712321013321050
oct1720661260362
9415367706210
10131110101234
1150670263672
12214b0611216
13c495b81178
1464baab71d0
153625542609
hex1e86c560f2

131110101234 has 96 divisors (see below), whose sum is σ = 331814545920. Its totient is φ = 36634985856.

The previous prime is 131110101211. The next prime is 131110101257. The reversal of 131110101234 is 432101011131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131110101211) and next prime (131110101257).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8454792 + ... + 8470284.

It is an arithmetic number, because the mean of its divisors is an integer number (3456401520).

Almost surely, 2131110101234 is an apocalyptic number.

131110101234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131110101234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165907272960).

131110101234 is an abundant number, since it is smaller than the sum of its proper divisors (200704444686).

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

131110101234 is a wasteful number, since it uses less digits than its factorization.

131110101234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16984 (or 16981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131110101234 its reverse (432101011131), we get a palindrome (563211112365).

The spelling of 131110101234 in words is "one hundred thirty-one billion, one hundred ten million, one hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1429 1974 2858 2961 4287 5922 8574 10003 12861 15493 20006 25722 30009 30986 46479 60018 67163 90027 92958 108451 134326 139437 180054 201489 216902 278874 325353 402978 470141 604467 650706 728171 940282 976059 1208934 1410423 1456342 1952118 2184513 2820846 4231269 4369026 5097197 6553539 8462538 10194394 13107078 15291591 22139497 30583182 44278994 45874773 66418491 91749546 132836982 154976479 199255473 309952958 398510946 464929437 929858874 1040556359 1394788311 2081112718 2789576622 3121669077 6243338154 7283894513 9365007231 14567789026 18730014462 21851683539 43703367078 65555050617 131110101234