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131561331416 = 23175325937039
BaseRepresentation
bin111101010000110101…
…0101001101011011000
3110120120201212002200022
41322201222221223120
54123414200101131
6140234411530012
712335132602664
oct1724152515330
9416521762608
10131561331416
1150881a3a579
12215b7759908
13c5384bba88
1465209b58a4
15364ee7537b
hex1ea1aa9ad8

131561331416 has 64 divisors (see below), whose sum is σ = 266256460800. Its totient is φ = 60711026688.

The previous prime is 131561331413. The next prime is 131561331431. The reversal of 131561331416 is 614133165131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131561331413) 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 15 ways as a sum of consecutive naturals, for example, 18686825 + ... + 18693863.

It is an arithmetic number, because the mean of its divisors is an integer number (4160257200).

Almost surely, 2131561331416 is an apocalyptic number.

It is an amenable number.

131561331416 is an abundant number, since it is smaller than the sum of its proper divisors (134695129384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131561331416 is a wasteful number, since it uses less digits than its factorization.

131561331416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9704 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

Adding to 131561331416 its reverse (614133165131), we get a palindrome (745694496547).

The spelling of 131561331416 in words is "one hundred thirty-one billion, five hundred sixty-one million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 424 901 1802 2593 3604 5186 7039 7208 10372 14078 20744 28156 44081 56312 88162 119663 137429 176324 239326 274858 352648 373067 478652 549716 746134 957304 1099432 1492268 2336293 2984536 4672586 6342139 9345172 12684278 18252127 18690344 25368556 36504254 50737112 73008508 146017016 310286159 620572318 967362731 1241144636 1934725462 2482289272 3869450924 7738901848 16445166427 32890332854 65780665708 131561331416