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131034142533 = 37193238313567
BaseRepresentation
bin111101000001000111…
…1100101011101000101
3110112012222212010111010
41322002033211131011
54121324220030113
6140110220232433
712316101556110
oct1720217453505
9415188763433
10131034142533
11506313a2788
122148b09b719
13c4832073a8
1464b0983577
15361da3b1c3
hex1e823e5745

131034142533 has 32 divisors (see below), whose sum is σ = 200804663296. Its totient is φ = 74451944448.

The previous prime is 131034142531. The next prime is 131034142549. The reversal of 131034142533 is 335241430131.

It is a happy number.

It is not a de Polignac number, because 131034142533 - 21 = 131034142531 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131034142533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034142531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9651516 + ... + 9665082.

It is an arithmetic number, because the mean of its divisors is an integer number (6275145728).

Almost surely, 2131034142533 is an apocalyptic number.

It is an amenable number.

131034142533 is a deficient number, since it is larger than the sum of its proper divisors (69770520763).

131034142533 is a wasteful number, since it uses less digits than its factorization.

131034142533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16153.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 131034142533 its reverse (335241430131), we get a palindrome (466275572664).

The spelling of 131034142533 in words is "one hundred thirty-one billion, thirty-four million, one hundred forty-two thousand, five hundred thirty-three".

Divisors: 1 3 7 21 193 579 1351 2383 4053 7149 13567 16681 40701 50043 94969 284907 459919 1379757 2618431 3219433 7855293 9658299 18329017 32330161 54987051 96990483 226311127 678933381 6239721073 18719163219 43678047511 131034142533