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131700114 = 23371326801
BaseRepresentation
bin1111101100110…
…01010110010010
3100011211001121000
413312121112102
5232203400424
621022442430
73156301230
oct766312622
9304731530
10131700114
1168383277
1238133416
1321392580
14136c3950
15b8673c9
hex7d99592

131700114 has 64 divisors (see below), whose sum is σ = 360218880. Its totient is φ = 34732800.

The previous prime is 131700109. The next prime is 131700119. The reversal of 131700114 is 411007131.

It is an interprime number because it is at equal distance from previous prime (131700109) and next prime (131700119).

It is a super-2 number, since 2×1317001142 = 34689840055225992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131700119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8487 + ... + 18314.

It is an arithmetic number, because the mean of its divisors is an integer number (5628420).

Almost surely, 2131700114 is an apocalyptic number.

131700114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131700114 is an abundant number, since it is smaller than the sum of its proper divisors (228518766).

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

131700114 is a wasteful number, since it uses less digits than its factorization.

131700114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832 (or 26826 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 131700114 is about 11476.0670092153. The cubic root of 131700114 is about 508.7784606181.

Adding to 131700114 its reverse (411007131), we get a palindrome (542707245).

The spelling of 131700114 in words is "one hundred thirty-one million, seven hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 26801 53602 80403 160806 187607 241209 348413 375214 482418 562821 696826 723627 1045239 1125642 1447254 1688463 2090478 2438891 3135717 3376926 4877782 5065389 6271434 7316673 9407151 10130778 14633346 18814302 21950019 43900038 65850057 131700114