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131035323330 = 232510713606991
BaseRepresentation
bin111101000001001010…
…0000101101111000010
3110112020002002010020100
41322002110011233002
54121330020321310
6140110301423230
712316114604502
oct1720224055702
9415202063210
10131035323330
115063202994a
122148b56ab16
13c48352b9a2
1464b0bada02
15361dbc0ec0
hex1e82505bc2

131035323330 has 48 divisors (see below), whose sum is σ = 343875901824. Its totient is φ = 34616182560.

The previous prime is 131035323313. The next prime is 131035323361. The reversal of 131035323330 is 33323530131.

131035323330 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 5 + 323 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131035323294 and 131035323303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6793866 + ... + 6813125.

It is an arithmetic number, because the mean of its divisors is an integer number (7164081288).

Almost surely, 2131035323330 is an apocalyptic number.

131035323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131035323330 is an abundant number, since it is smaller than the sum of its proper divisors (212840578494).

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

131035323330 is a wasteful number, since it uses less digits than its factorization.

131035323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607111 (or 13607108 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 131035323330 its reverse (33323530131), we get a palindrome (164358853461).

The spelling of 131035323330 in words is "one hundred thirty-one billion, thirty-five million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 13606991 27213982 40820973 68034955 81641946 122462919 136069910 204104865 244925838 408209730 612314595 1224629190 1455948037 2911896074 4367844111 7279740185 8735688222 13103532333 14559480370 21839220555 26207064666 43678441110 65517661665 131035323330