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131030224146 = 2329199917993
BaseRepresentation
bin111101000001000000…
…0101000110100010010
3110112012201111001110200
41322002000220310102
54121322214133041
6140110000240030
712316023346203
oct1720200506422
9415181431420
10131030224146
115062a166848
1221489910016
13c482464a13
1464b02435aa
15361d5151b6
hex1e82028d12

131030224146 has 48 divisors (see below), whose sum is σ = 284530122240. Its totient is φ = 43579736640.

The previous prime is 131030224109. The next prime is 131030224147. The reversal of 131030224146 is 641422030131.

It is a happy number.

131030224146 is a `hidden beast` number, since 1 + 310 + 302 + 2 + 4 + 1 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (131030224147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16389126 + ... + 16397118.

It is an arithmetic number, because the mean of its divisors is an integer number (5927710880).

Almost surely, 2131030224146 is an apocalyptic number.

131030224146 is an abundant number, since it is smaller than the sum of its proper divisors (153499898094).

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

131030224146 is a wasteful number, since it uses less digits than its factorization.

131030224146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131030224146 its reverse (641422030131), we get a palindrome (772452254277).

The spelling of 131030224146 in words is "one hundred thirty-one billion, thirty million, two hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 919 991 1838 1982 2757 2973 5514 5946 7993 8271 8919 15986 16542 17838 23979 47958 71937 143874 910729 1821458 2732187 5464374 7345567 7921063 8196561 14691134 15842126 16393122 22036701 23763189 44073402 47526378 66110103 71289567 132220206 142579134 7279456897 14558913794 21838370691 43676741382 65515112073 131030224146