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132101020 = 22547140533
BaseRepresentation
bin1111101111110…
…11001110011100
3100012120102112101
413313323032130
5232304213040
621035214444
73162561112
oct767731634
9305512471
10132101020
11686274a7
12382a7424
13214a2bac
1413789ab2
15b8e609a
hex7dfb39c

132101020 has 24 divisors (see below), whose sum is σ = 283316544. Its totient is φ = 51715776.

The previous prime is 132100993. The next prime is 132101027. The reversal of 132101020 is 20101231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 132100988 and 132101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101027) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69327 + ... + 71206.

It is an arithmetic number, because the mean of its divisors is an integer number (11804856).

Almost surely, 2132101020 is an apocalyptic number.

132101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132101020 is an abundant number, since it is smaller than the sum of its proper divisors (151215524).

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

132101020 is a wasteful number, since it uses less digits than its factorization.

132101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140589 (or 140587 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 132101020 is about 11493.5207834675. The cubic root of 132101020 is about 509.2941921821.

Adding to 132101020 its reverse (20101231), we get a palindrome (152202251).

The spelling of 132101020 in words is "one hundred thirty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 140533 281066 562132 702665 1405330 2810660 6605051 13210102 26420204 33025255 66050510 132101020