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132031111120 = 2455331139413
BaseRepresentation
bin111101011110110101…
…0101101111111010000
3110121210110211101021121
41322331222231333100
54130344431023440
6140353152532024
712352565633056
oct1727552557720
9417713741247
10132031111120
1150aa3135a67
1221708b51014
13c5b192282c
1465671421d6
15367b31e34a
hex1ebdaadfd0

132031111120 has 40 divisors (see below), whose sum is σ = 312764274216. Its totient is φ = 51815981568.

The previous prime is 132031111103. The next prime is 132031111129. The reversal of 132031111120 is 21111130231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45008471104 + 87022640016 = 212152^2 + 294996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132031111094 and 132031111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031111129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15565467 + ... + 15573946.

Almost surely, 2132031111120 is an apocalyptic number.

132031111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132031111120 is an abundant number, since it is smaller than the sum of its proper divisors (180733163096).

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

132031111120 is a wasteful number, since it uses less digits than its factorization.

132031111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31139479 (or 31139473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 132031111120 its reverse (21111130231), we get a palindrome (153142241351).

The spelling of 132031111120 in words is "one hundred thirty-two billion, thirty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 31139413 62278826 124557652 155697065 249115304 311394130 498230608 622788260 1245576520 1650388889 2491153040 3300777778 6601555556 8251944445 13203111112 16503888890 26406222224 33007777780 66015555560 132031111120