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10132412212143 = 32132277147116349
BaseRepresentation
bin1001001101110010001011…
…0101001010001110101111
31022212122112020011120102200
42103130202311022032233
52312002140011242033
633314433234152543
72064020422520154
oct223344265121657
938778466146380
1010132412212143
11325714a5a6901
121177890422753
13586636a03400
142705a8b1622b
15128879941013
hex93722d4a3af

10132412212143 has 72 divisors (see below), whose sum is σ = 15917131526400. Its totient is φ = 6208217084160.

The previous prime is 10132412212123. The next prime is 10132412212189. The reversal of 10132412212143 is 34121221423101.

10132412212143 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 412 + 2 + 1 + 214 + 3 = 666.

It is not a de Polignac number, because 10132412212143 - 212 = 10132412208047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132412212123) 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 71 ways as a sum of consecutive naturals, for example, 619749133 + ... + 619765481.

It is an arithmetic number, because the mean of its divisors is an integer number (221071271200).

Almost surely, 210132412212143 is an apocalyptic number.

10132412212143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10132412212143 is a deficient number, since it is larger than the sum of its proper divisors (5784719314257).

10132412212143 is a wasteful number, since it uses less digits than its factorization.

10132412212143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10132412212143 its reverse (34121221423101), we get a palindrome (44253633635244).

The spelling of 10132412212143 in words is "ten trillion, one hundred thirty-two billion, four hundred twelve million, two hundred twelve thousand, one hundred forty-three".

Divisors: 1 3 9 13 39 117 169 277 507 831 1471 1521 2493 3601 4413 10803 13239 16349 19123 32409 46813 49047 57369 140439 147141 172107 212537 248599 407467 421317 637611 745797 1222401 1912833 2237391 2762981 3667203 4528673 5297071 8288943 13586019 15891213 24049379 24866829 40758057 47673639 58872749 68861923 72148137 176618247 206585769 216444411 312641927 529854741 619757307 765345737 937925781 2296037211 2813777343 4064345051 6661677983 6888111633 12193035153 19985033949 36579105459 59955101847 86601813779 259805441337 779416324011 1125823579127 3377470737381 10132412212143