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5106024406131 = 311222391628207
BaseRepresentation
bin100101001001101011011…
…0001010101110001110011
3200002010112121202000020220
41022103112301111301303
51132124114221444011
614505401503304123
71034620021225665
oct112232661256163
920063477660226
105106024406131
1116994a8733100
126a56b92ab043
132b065aa3655c
141391c096a535
158cc457b5506
hex4a4d6c55c73

5106024406131 has 24 divisors (see below), whose sum is σ = 7483555441152. Its totient is φ = 3094417114800.

The previous prime is 5106024406121. The next prime is 5106024406159. The reversal of 5106024406131 is 1316044206015.

It is not a de Polignac number, because 5106024406131 - 225 = 5105990851699 is a prime.

It is a super-2 number, since 2×51060244061312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5106024406092 and 5106024406101.

It is not an unprimeable number, because it can be changed into a prime (5106024406111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7813830 + ... + 8442036.

It is an arithmetic number, because the mean of its divisors is an integer number (311814810048).

Almost surely, 25106024406131 is an apocalyptic number.

5106024406131 is a deficient number, since it is larger than the sum of its proper divisors (2377531035021).

5106024406131 is a wasteful number, since it uses less digits than its factorization.

5106024406131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650623 (or 650612 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

It can be divided in two parts, 5106024 and 406131, that added together give a palindrome (5512155).

The spelling of 5106024406131 in words is "five trillion, one hundred six billion, twenty-four million, four hundred six thousand, one hundred thirty-one".

Divisors: 1 3 11 33 121 363 22391 67173 246301 628207 738903 1884621 2709311 6910277 8127933 20730831 76013047 228039141 14066182937 42198548811 154728012307 464184036921 1702008135377 5106024406131