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131060068381 = 11243118721221
BaseRepresentation
bin111101000001111001…
…0011111000000011101
3110112021210122022001201
41322003302133000131
54121402334142011
6140112544035501
712316535125504
oct1720362370035
9415253568051
10131060068381
1150644aa0200
1221497902b91
13c4886b3b28
1464b41b183b
153620e5ccc1
hex1e83c9f01d

131060068381 has 24 divisors (see below), whose sum is σ = 147539079072. Its totient is φ = 116271170400.

The previous prime is 131060068367. The next prime is 131060068397. The reversal of 131060068381 is 183860060131.

It is not a de Polignac number, because 131060068381 - 27 = 131060068253 is a prime.

It is a super-2 number, since 2×1310600683812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131060068381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131060068301) 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 23 ways as a sum of consecutive naturals, for example, 6165351 + ... + 6186571.

It is an arithmetic number, because the mean of its divisors is an integer number (6147461628).

Almost surely, 2131060068381 is an apocalyptic number.

131060068381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131060068381 is a deficient number, since it is larger than the sum of its proper divisors (16479010691).

131060068381 is a wasteful number, since it uses less digits than its factorization.

131060068381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22473 (or 22462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 131060068381 in words is "one hundred thirty-one billion, sixty million, sixty-eight thousand, three hundred eighty-one".

Divisors: 1 11 43 121 473 1187 5203 13057 21221 51041 143627 233431 561451 912503 2567741 6175961 10037533 25189327 110412863 277082597 1083141061 3047908567 11914551671 131060068381