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131113123033000 = 23531710176361749
BaseRepresentation
bin11101110011111100100111…
…000111111010111110101000
3122012020021212222101012111211
4131303330213013322332220
5114141124133444024000
61142504312011402504
736421416262316443
oct3563744707727650
9565207788335454
10131113123033000
113885a843927139
1212856727753434
135820bb707b734
142453ca249a65a
1510258471a07ba
hex773f271fafa8

131113123033000 has 128 divisors (see below), whose sum is σ = 328068404820000. Its totient is φ = 48871518720000.

The previous prime is 131113123032989. The next prime is 131113123033001. The reversal of 131113123033000 is 330321311131.

It can be written as a sum of positive squares in 16 ways, for example, as 15325236244516 + 115787886788484 = 3914746^2 + 10760478^2 .

It is not an unprimeable number, because it can be changed into a prime (131113123033001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36463875 + ... + 39897874.

Almost surely, 2131113123033000 is an apocalyptic number.

131113123033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131113123033000 is an abundant number, since it is smaller than the sum of its proper divisors (196955281787000).

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

131113123033000 is a wasteful number, since it uses less digits than its factorization.

131113123033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76361888 (or 76361874 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131113123033000 its reverse (330321311131), we get a palindrome (131443444344131).

The spelling of 131113123033000 in words is "one hundred thirty-one trillion, one hundred thirteen billion, one hundred twenty-three million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 101 125 136 170 200 202 250 340 404 425 500 505 680 808 850 1000 1010 1700 1717 2020 2125 2525 3400 3434 4040 4250 5050 6868 8500 8585 10100 12625 13736 17000 17170 20200 25250 34340 42925 50500 68680 85850 101000 171700 214625 343400 429250 858500 1717000 76361749 152723498 305446996 381808745 610893992 763617490 1298149733 1527234980 1909043725 2596299466 3054469960 3818087450 5192598932 6490748665 7636174900 7712536649 9545218625 10385197864 12981497330 15272349800 15425073298 19090437250 25962994660 30850146596 32453743325 38180874500 38562683245 51925989320 61700293192 64907486650 76361749000 77125366490 129814973300 131113123033 154250732980 162268716625 192813416225 259629946600 262226246066 308501465960 324537433250 385626832450 524452492132 649074866500 655565615165 771253664900 964067081125 1048904984264 1298149733000 1311131230330 1542507329800 1928134162250 2622262460660 3277828075825 3856268324500 5244524921320 6555656151650 7712536649000 13111312303300 16389140379125 26222624606600 32778280758250 65556561516500 131113123033000