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131001324110300 = 22527248867751987
BaseRepresentation
bin11101110010010100011111…
…011000111000000111011100
3122011211121022111222111010002
4131302110133120320013130
5114132311202433012200
61142341102200433432
736410350635206420
oct3562243730700734
9564747274874102
10131001324110300
1138817393298856
1212838b26478878
1358134aac7ac37
14244c6d8400b80
1510229a21b3bd5
hex77251f6381dc

131001324110300 has 72 divisors (see below), whose sum is σ = 324885021277824. Its totient is φ = 44914499490240.

The previous prime is 131001324110249. The next prime is 131001324110309. The reversal of 131001324110300 is 3011423100131.

It is a super-2 number, since 2×1310013241103002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001324110309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173830907 + ... + 174582893.

It is an arithmetic number, because the mean of its divisors is an integer number (4512291962192).

Almost surely, 2131001324110300 is an apocalyptic number.

131001324110300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001324110300 is an abundant number, since it is smaller than the sum of its proper divisors (193883697167524).

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

131001324110300 is a wasteful number, since it uses less digits than its factorization.

131001324110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000875 (or 1000868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131001324110300 its reverse (3011423100131), we get a palindrome (134012747210431).

The spelling of 131001324110300 in words is "one hundred thirty-one trillion, one billion, three hundred twenty-four million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 248867 497734 751987 995468 1244335 1503974 1742069 2488670 3007948 3484138 3759935 4977340 5263909 6221675 6968276 7519870 8710345 10527818 12443350 15039740 17420690 18799675 21055636 24886700 26319545 34841380 37599350 43551725 52639090 75198700 87103450 105278180 131597725 174206900 263195450 526390900 187144748729 374289497458 748578994916 935723743645 1310013241103 1871447487290 2620026482206 3742894974580 4678618718225 5240052964412 6550066205515 9357237436450 13100132411030 18714474872900 26200264822060 32750331027575 65500662055150 131001324110300