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131223114330440 = 235111717543197103
BaseRepresentation
bin11101110101100011000011…
…000111011011000101001000
3122012121210210110102001012212
4131311203003013123011020
5114144424414232033230
61143031022210524252
736432362050033136
oct3565430307330510
9565553713361185
10131223114330440
11388a2457072950
1212873b03596688
13582b39581c4a2
142459338456756
151028633629895
hex7758c31db148

131223114330440 has 64 divisors (see below), whose sum is σ = 341039751701760. Its totient is φ = 44910584581120.

The previous prime is 131223114330431. The next prime is 131223114330443. The reversal of 131223114330440 is 44033411322131.

It is a junction number, because it is equal to n+sod(n) for n = 131223114330397 and 131223114330406.

It is not an unprimeable number, because it can be changed into a prime (131223114330443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8771591072 + ... + 8771606031.

It is an arithmetic number, because the mean of its divisors is an integer number (5328746120340).

Almost surely, 2131223114330440 is an apocalyptic number.

131223114330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223114330440 is an abundant number, since it is smaller than the sum of its proper divisors (209816637371320).

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

131223114330440 is a wasteful number, since it uses less digits than its factorization.

131223114330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17543197142 (or 17543197138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131223114330440 its reverse (44033411322131), we get a palindrome (175256525652571).

The spelling of 131223114330440 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, one hundred fourteen million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 17543197103 35086394206 70172788412 87715985515 140345576824 175431971030 192975168133 298234350751 350863942060 385950336266 596468701502 701727884120 771900672532 964875840665 1192937403004 1491171753755 1543801345064 1929751681330 2385874806008 2982343507510 3280577858261 3859503362660 5964687015020 6561155716522 7719006725320 11929374030040 13122311433044 16402889291305 26244622866088 32805778582610 65611557165220 131223114330440