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131303010232323 = 3437367311927983
BaseRepresentation
bin11101110110101101011101…
…010010000110100000000011
3122012220110000112122101110000
4131312231131102012200003
5114202232031104413243
61143131434205211043
736441220666013526
oct3566553522064003
9565813015571400
10131303010232323
1138923326239526
12128874a0560a83
135835a89207387
14245d157454bbd
15102a75c8d45d3
hex776b5d486803

131303010232323 has 40 divisors (see below), whose sum is σ = 201500053967168. Its totient is φ = 85146325013376.

The previous prime is 131303010232321. The next prime is 131303010232333. The reversal of 131303010232323 is 323232010303131.

131303010232323 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 301 + 0 + 2 + 32 + 323 = 666.

It is not a de Polignac number, because 131303010232323 - 21 = 131303010232321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131303010232321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5043990 + ... + 16971972.

Almost surely, 2131303010232323 is an apocalyptic number.

131303010232323 is a deficient number, since it is larger than the sum of its proper divisors (70197043734845).

131303010232323 is a wasteful number, since it uses less digits than its factorization.

131303010232323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931705 (or 11931696 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 131303010232323 its reverse (323232010303131), we get a palindrome (454535020535454).

The spelling of 131303010232323 in words is "one hundred thirty-one trillion, three hundred three billion, ten million, two hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 9 27 37 81 111 333 999 2997 3673 11019 33057 99171 135901 297513 407703 1223109 3669327 11007981 11927983 35783949 107351847 322055541 441335371 966166623 1324006113 3972018339 11916055017 35748165051 43811481559 131434444677 394303334031 1182910002093 1621024817683 3548730006279 4863074453049 14589223359147 43767670077441 131303010232323