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131250214242 = 23372347931517
BaseRepresentation
bin111101000111100011…
…1110101010101100010
3110112210001102201011000
41322033013311111202
54122300023323432
6140143455332430
712324334261560
oct1721707652542
9415701381130
10131250214242
1150732362644
122152b521116
13c4b8bcaa84
1464d154aa30
1536329bc57c
hex1e8f1f5562

131250214242 has 128 divisors (see below), whose sum is σ = 348563865600. Its totient is φ = 35793603648.

The previous prime is 131250214241. The next prime is 131250214283. The reversal of 131250214242 is 242412052131.

131250214242 is a `hidden beast` number, since 1 + 3 + 12 + 502 + 142 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131250214241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4148668 + ... + 4180184.

It is an arithmetic number, because the mean of its divisors is an integer number (2723155200).

Almost surely, 2131250214242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131250214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174281932800).

131250214242 is an abundant number, since it is smaller than the sum of its proper divisors (217313651358).

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

131250214242 is a wasteful number, since it uses less digits than its factorization.

131250214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32037 (or 32031 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 131250214242 its reverse (242412052131), we get a palindrome (373662266373).

The spelling of 131250214242 in words is "one hundred thirty-one billion, two hundred fifty million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 479 483 621 958 966 1242 1437 1449 2874 2898 3353 4311 4347 6706 8622 8694 10059 11017 12933 20118 22034 25866 30177 31517 33051 60354 63034 66102 77119 90531 94551 99153 154238 181062 189102 198306 220619 231357 283653 297459 441238 462714 567306 594918 661857 694071 724891 850959 1323714 1388142 1449782 1701918 1985571 2082213 2174673 3971142 4164426 4349346 5074237 5956713 6524019 10148474 11913426 13048038 15096643 15222711 19572057 30193286 30445422 39144114 45289929 45668133 90579858 91336266 105676501 135869787 137004399 211353002 271739574 274008798 317029503 347222789 407609361 634059006 694445578 815218722 951088509 1041668367 1902177018 2083336734 2430559523 2853265527 3125005101 4861119046 5706531054 6250010202 7291678569 9375015303 14583357138 18750030606 21875035707 43750071414 65625107121 131250214242