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131838133773 = 34317920832741
BaseRepresentation
bin111101011001000101…
…0100100011000001101
3110121022000201010010110
41322302022210120031
54130001030240043
6140322100430233
712345033434643
oct1726212443015
9417260633113
10131838133773
1150a0420a255
12216743a8379
13c580956b58
14654966b193
153669400b33
hex1eb22a460d

131838133773 has 32 divisors (see below), whose sum is σ = 181029911040. Its totient is φ = 85296375360.

The previous prime is 131838133759. The next prime is 131838133781. The reversal of 131838133773 is 377331838131.

It is not a de Polignac number, because 131838133773 - 212 = 131838129677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131838133703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48097183 + ... + 48099923.

It is an arithmetic number, because the mean of its divisors is an integer number (5657184720).

Almost surely, 2131838133773 is an apocalyptic number.

It is an amenable number.

131838133773 is a deficient number, since it is larger than the sum of its proper divisors (49191777267).

131838133773 is a wasteful number, since it uses less digits than its factorization.

131838133773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049.

The product of its digits is 762048, while the sum is 48.

The spelling of 131838133773 in words is "one hundred thirty-one billion, eight hundred thirty-eight million, one hundred thirty-three thousand, seven hundred seventy-three".

Divisors: 1 3 43 129 179 537 2083 2741 6249 7697 8223 23091 89569 117863 268707 353589 372857 490639 1118571 1471917 5709503 16032851 17128509 21097477 48098553 63292431 245508629 736525887 1022001037 3066003111 43946044591 131838133773