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131367220047 = 32719438812897
BaseRepresentation
bin111101001011000011…
…0001011001101001111
3110120002012121012221100
41322112012023031033
54123020002020142
6140203235234143
712330254642430
oct1722606131517
9416065535840
10131367220047
1150792409858
1221562748953
13c507216b8b
146502cc7487
15363cdd0b4c
hex1e9618b34f

131367220047 has 96 divisors (see below), whose sum is σ = 233928414720. Its totient is φ = 69359431680.

The previous prime is 131367220043. The next prime is 131367220057. The reversal of 131367220047 is 740022763131.

131367220047 is a `hidden beast` number, since 1 + 31 + 367 + 220 + 0 + 47 = 666.

It is not a de Polignac number, because 131367220047 - 22 = 131367220043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131367219993 and 131367220020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131367220043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45344503 + ... + 45347399.

It is an arithmetic number, because the mean of its divisors is an integer number (2436754320).

Almost surely, 2131367220047 is an apocalyptic number.

131367220047 is a deficient number, since it is larger than the sum of its proper divisors (102561194673).

131367220047 is a wasteful number, since it uses less digits than its factorization.

131367220047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 131367220047 its reverse (740022763131), we get a palindrome (871389983178).

The spelling of 131367220047 in words is "one hundred thirty-one billion, three hundred sixty-seven million, two hundred twenty thousand, forty-seven".

Divisors: 1 3 7 9 19 21 43 57 63 129 133 171 301 387 399 817 881 903 1197 2451 2643 2709 2897 5719 6167 7353 7929 8691 16739 17157 18501 20279 26073 37883 50217 51471 55043 55503 60837 113649 117173 124571 150651 165129 182511 265181 340947 351519 373713 385301 495387 719777 795543 871997 1054557 1121139 1155903 2159331 2366849 2386629 2552257 2615991 3467709 5038439 6477993 7100547 7656771 7847973 15115317 16567943 17865799 21301641 22970313 45345951 48492883 49703829 53597397 109747051 145478649 149111487 160792191 329241153 339450181 436435947 768229357 987723459 1018350543 2085193969 2304688071 3055051629 6255581907 6914064213 14596357783 18766745721 43789073349 131367220047