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132031201131 = 321729242312281
BaseRepresentation
bin111101011110110101…
…1000011111101101011
3110121210110222221202100
41322331223003331223
54130344441414011
6140353154504443
712352566456354
oct1727553037553
9417713887670
10132031201131
1150aa3197655
1221708b95123
13c5b19547ab
146567166d2b
15367b33ad56
hex1ebdac3f6b

132031201131 has 48 divisors (see below), whose sum is σ = 208996407360. Its totient is φ = 79946926080.

The previous prime is 132031201109. The next prime is 132031201157. The reversal of 132031201131 is 131102130231.

132031201131 is a `hidden beast` number, since 1 + 320 + 312 + 0 + 1 + 1 + 31 = 666.

It is not a de Polignac number, because 132031201131 - 26 = 132031201067 is a prime.

It is a super-2 number, since 2×1320312011312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132031201231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10744711 + ... + 10756991.

It is an arithmetic number, because the mean of its divisors is an integer number (4354091820).

Almost surely, 2132031201131 is an apocalyptic number.

132031201131 is a deficient number, since it is larger than the sum of its proper divisors (76965206229).

132031201131 is a wasteful number, since it uses less digits than its factorization.

132031201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132031201131 its reverse (131102130231), we get a palindrome (263133331362).

The spelling of 132031201131 in words is "one hundred thirty-two billion, thirty-one million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 2423 4437 7269 12281 21807 36843 41191 70267 110529 123573 208777 210801 356149 370719 626331 632403 1068447 1194539 1878993 3205341 3583617 6054533 10750851 18163599 29756863 54490797 89270589 267811767 505866671 862949027 1517600013 2588847081 4552800039 7766541243 14670133459 44010400377 132031201131