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131030033220 = 22325727944629
BaseRepresentation
bin111101000000111111…
…1111010001101000100
3110112012201010100120100
41322001333322031010
54121322142030340
6140105552204100
712316021622442
oct1720177721504
9415181110510
10131030033220
115062a046359
1221489839630
13c4823c8b48
1464b01d3b92
15361d4c8830
hex1e81ffa344

131030033220 has 36 divisors (see below), whose sum is σ = 397457767980. Its totient is φ = 34941342144.

The previous prime is 131030033171. The next prime is 131030033231. The reversal of 131030033220 is 22330030131.

131030033220 is a `hidden beast` number, since 1 + 3 + 10 + 300 + 332 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23377798404 + 107652234816 = 152898^2 + 328104^2 .

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

It is a super-3 number, since 3×1310300332203 (a number of 34 digits) contains 333 as substring.

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 = 131030033193 and 131030033202.

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, 363972135 + ... + 363972494.

It is an arithmetic number, because the mean of its divisors is an integer number (11040493555).

Almost surely, 2131030033220 is an apocalyptic number.

131030033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131030033220 is an abundant number, since it is smaller than the sum of its proper divisors (266427734760).

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

131030033220 is a wasteful number, since it uses less digits than its factorization.

131030033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727944644 (or 727944639 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131030033220 its reverse (22330030131), we get a palindrome (153360063351).

The spelling of 131030033220 in words is "one hundred thirty-one billion, thirty million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 727944629 1455889258 2183833887 2911778516 3639723145 4367667774 6551501661 7279446290 8735335548 10919169435 13103003322 14558892580 21838338870 26206006644 32757508305 43676677740 65515016610 131030033220