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133312120020 = 22325740622889
BaseRepresentation
bin111110000101000000…
…1011000010011010100
3110202002202021101010200
41330022001120103110
54141010400320040
6141124233220500
712426412215642
oct1741201302324
9422082241120
10133312120020
11515a0241a02
1221a05b61730
13c75713b671
14664931c192
153703a0c630
hex1f0a0584d4

133312120020 has 36 divisors (see below), whose sum is σ = 404380097940. Its totient is φ = 35549898624.

The previous prime is 133312120009. The next prime is 133312120061. The reversal of 133312120020 is 20021213331.

133312120020 is a `hidden beast` number, since 133 + 312 + 1 + 200 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38046062916 + 95266057104 = 195054^2 + 308652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133312119975 and 133312120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370311265 + ... + 370311624.

Almost surely, 2133312120020 is an apocalyptic number.

133312120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133312120020 is an abundant number, since it is smaller than the sum of its proper divisors (271067977920).

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

133312120020 is a wasteful number, since it uses less digits than its factorization.

133312120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740622904 (or 740622899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133312120020 its reverse (20021213331), we get a palindrome (153333333351).

The spelling of 133312120020 in words is "one hundred thirty-three billion, three hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 740622889 1481245778 2221868667 2962491556 3703114445 4443737334 6665606001 7406228890 8887474668 11109343335 13331212002 14812457780 22218686670 26662424004 33328030005 44437373340 66656060010 133312120020