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131112032132 = 223710167313033
BaseRepresentation
bin111101000011011100…
…0101101011110000100
3110112102102102022221002
41322012320231132010
54122004140012012
6140122041512432
712321035612354
oct1720670553604
9415372368832
10131112032132
1150671362354
12214b11a2718
13c4963a9003
1464bb05ab64
1536257c47c2
hex1e86e2d784

131112032132 has 48 divisors (see below), whose sum is σ = 238352340912. Its totient is φ = 63054028800.

The previous prime is 131112032123. The next prime is 131112032173. The reversal of 131112032132 is 231230211131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29589504256 + 101522527876 = 172016^2 + 318626^2 .

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, 10053488 + ... + 10066520.

It is an arithmetic number, because the mean of its divisors is an integer number (4965673769).

Almost surely, 2131112032132 is an apocalyptic number.

It is an amenable number.

131112032132 is a deficient number, since it is larger than the sum of its proper divisors (107240308780).

131112032132 is a wasteful number, since it uses less digits than its factorization.

131112032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131112032132 its reverse (231230211131), we get a palindrome (362342243263).

The spelling of 131112032132 in words is "one hundred thirty-one billion, one hundred twelve million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 37 74 101 148 202 404 673 1346 2692 3737 7474 13033 14948 24901 26066 49802 52132 67973 99604 135946 271892 482221 964442 1316333 1928884 2515001 2632666 5030002 5265332 8771209 10060004 17542418 35084836 48704321 97408642 194817284 324534733 649069466 885892109 1298138932 1771784218 3543568436 32778008033 65556016066 131112032132