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131054552135352 = 23325773154596383
BaseRepresentation
bin11101110011000110000100…
…000001101011011010111000
3122012000200201001220022122100
4131303012010001223122320
5114134144210321312402
61142421344034023400
736414243655024056
oct3563060401533270
9565020631808570
10131054552135352
1138837a181058aa
1212847300417b60
13581851171c551
1424511077331d6
15102406a14071c
hex77318406b6b8

131054552135352 has 48 divisors (see below), whose sum is σ = 355554558440640. Its totient is φ = 43609140384768.

The previous prime is 131054552135341. The next prime is 131054552135399. The reversal of 131054552135352 is 253531255450131.

131054552135352 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 45 + 521 + 35 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131054552135298 and 131054552135307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1577256648 + ... + 1577339735.

It is an arithmetic number, because the mean of its divisors is an integer number (7407386634180).

Almost surely, 2131054552135352 is an apocalyptic number.

131054552135352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131054552135352 is an abundant number, since it is smaller than the sum of its proper divisors (224500006305288).

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

131054552135352 is a wasteful number, since it uses less digits than its factorization.

131054552135352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154596972 (or 3154596965 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 131054552135352 in words is "one hundred thirty-one trillion, fifty-four billion, five hundred fifty-two million, one hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 577 1154 1731 2308 3462 4616 5193 6924 10386 13848 20772 41544 3154596383 6309192766 9463789149 12618385532 18927578298 25236771064 28391367447 37855156596 56782734894 75710313192 113565469788 227130939576 1820202112991 3640404225982 5460606338973 7280808451964 10921212677946 14561616903928 16381819016919 21842425355892 32763638033838 43684850711784 65527276067676 131054552135352