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131002434234 = 23272433454159
BaseRepresentation
bin111101000000001011…
…0101000001010111010
3110112010210012011212200
41322000112220022322
54121243110343414
6140103124451030
712315235214100
oct1720026501272
9415123164780
10131002434234
1150615505881
1221480549a76
13c479784999
1464aa68bc70
15361ad76109
hex1e805a82ba

131002434234 has 72 divisors (see below), whose sum is σ = 337858297920. Its totient is φ = 36558808272.

The previous prime is 131002434127. The next prime is 131002434239. The reversal of 131002434234 is 432434200131.

131002434234 is a `hidden beast` number, since 1 + 310 + 0 + 2 + 4 + 342 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131002434198 and 131002434207.

It is not an unprimeable number, because it can be changed into a prime (131002434239) 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, 1689154 + ... + 1765005.

It is an arithmetic number, because the mean of its divisors is an integer number (4692476360).

Almost surely, 2131002434234 is an apocalyptic number.

131002434234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131002434234 is an abundant number, since it is smaller than the sum of its proper divisors (206855863686).

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

131002434234 is a wasteful number, since it uses less digits than its factorization.

131002434234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454224 (or 3454214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131002434234 its reverse (432434200131), we get a palindrome (563436634365).

The spelling of 131002434234 in words is "one hundred thirty-one billion, two million, four hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 441 602 774 882 903 1806 2107 2709 4214 5418 6321 12642 18963 37926 3454159 6908318 10362477 20724954 24179113 31087431 48358226 62174862 72537339 145074678 148528837 169253791 217612017 297057674 338507582 435224034 445586511 507761373 891173022 1015522746 1039701859 1336759533 1523284119 2079403718 2673519066 3046568238 3119105577 6238211154 7277913013 9357316731 14555826026 18714633462 21833739039 43667478078 65501217117 131002434234