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133021020 = 223511201547
BaseRepresentation
bin1111110110110…
…11110101011100
3100021022011112110
413323123311130
5233023133040
621111034020
73203442246
oct773336534
9307264473
10133021020
11690a5730
123866b910
1321735882
1413949096
15ba28980
hex7edbd5c

133021020 has 48 divisors (see below), whose sum is σ = 406320768. Its totient is φ = 32247360.

The previous prime is 133021013. The next prime is 133021027. The reversal of 133021020 is 20120331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133021013) and next prime (133021027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 133020987 and 133021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021027) 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 15 ways as a sum of consecutive naturals, for example, 100114 + ... + 101433.

It is an arithmetic number, because the mean of its divisors is an integer number (8465016).

Almost surely, 2133021020 is an apocalyptic number.

133021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133021020 is an abundant number, since it is smaller than the sum of its proper divisors (273299748).

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

133021020 is a wasteful number, since it uses less digits than its factorization.

133021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201570 (or 201568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133021020 is about 11533.4738912437. The cubic root of 133021020 is about 510.4737619948.

Adding to 133021020 its reverse (20120331), we get a palindrome (153141351).

The spelling of 133021020 in words is "one hundred thirty-three million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 201547 403094 604641 806188 1007735 1209282 2015470 2217017 2418564 3023205 4030940 4434034 6046410 6651051 8868068 11085085 12092820 13302102 22170170 26604204 33255255 44340340 66510510 133021020