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131101301243232 = 25321393274912601
BaseRepresentation
bin11101110011110001100110…
…011111010111110101100000
3122012012011101002121001122100
4131303301212133113311200
5114140430431104240412
61142455034545410400
736420520313625165
oct3563614637276540
9565164332531570
10131101301243232
1138855827825551
1212854388639a00
13581ca51b12268
1424534a03cc06c
1510253a43d2edc
hex773c667d7d60

131101301243232 has 72 divisors (see below), whose sum is σ = 375501478945320. Its totient is φ = 43386042124800.

The previous prime is 131101301243141. The next prime is 131101301243293. The reversal of 131101301243232 is 232342103101131.

131101301243232 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 1 + 301 + 24 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 131101301243196 and 131101301243205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1637416269 + ... + 1637496332.

It is an arithmetic number, because the mean of its divisors is an integer number (5215298318685).

Almost surely, 2131101301243232 is an apocalyptic number.

131101301243232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131101301243232 is an abundant number, since it is smaller than the sum of its proper divisors (244400177702088).

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

131101301243232 is a wasteful number, since it uses less digits than its factorization.

131101301243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274912756 (or 3274912745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131101301243232 its reverse (232342103101131), we get a palindrome (363443404344363).

The spelling of 131101301243232 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred one million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 3274912601 6549825202 9824737803 13099650404 19649475606 26199300808 29474213409 39298951212 52398601616 58948426818 78597902424 104797203232 117896853636 157195804848 235793707272 314391609696 455212851539 471587414544 910425703078 943174829088 1365638554617 1820851406156 2731277109234 3641702812312 4096915663851 5462554218468 7283405624624 8193831327702 10925108436936 14566811249248 16387662655404 21850216873872 32775325310808 43700433747744 65550650621616 131101301243232