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133102011330 = 23251092124477
BaseRepresentation
bin111101111110101111…
…1111000001111000010
3110201120002220202012100
41323331133320033002
54140043103330310
6141051330011230
712421251300111
oct1737537701702
9421502822170
10133102011330
11514a2685162
1221967716b16
13c7227551b2
146629467c78
1536e0357ec0
hex1efd7f83c2

133102011330 has 72 divisors (see below), whose sum is σ = 349272073332. Its totient is φ = 35167955328.

The previous prime is 133102011299. The next prime is 133102011331. The reversal of 133102011330 is 33110201331.

It is a happy number.

133102011330 is a `hidden beast` number, since 1 + 3 + 310 + 20 + 1 + 1 + 330 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 107080127361 + 26021883969 = 327231^2 + 161313^2 .

It is a super-2 number, since 2×1331020113302 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133102011331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1007052 + ... + 1131528.

Almost surely, 2133102011330 is an apocalyptic number.

133102011330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133102011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174636036666).

133102011330 is an abundant number, since it is smaller than the sum of its proper divisors (216170062002).

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

133102011330 is a wasteful number, since it uses less digits than its factorization.

133102011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124708 (or 124596 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133102011330 its reverse (33110201331), we get a palindrome (166212212661).

The spelling of 133102011330 in words is "one hundred thirty-three billion, one hundred two million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 11881 23762 35643 59405 71286 106929 118810 124477 178215 213858 248954 356430 373431 534645 622385 746862 1069290 1120293 1244770 1867155 2240586 3734310 5601465 11202930 13567993 27135986 40703979 67839965 81407958 122111937 135679930 203519895 244223874 407039790 610559685 1221119370 1478911237 2957822474 4436733711 7394556185 8873467422 13310201133 14789112370 22183668555 26620402266 44367337110 66551005665 133102011330