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131124121040 = 24511149004683
BaseRepresentation
bin111101000011110011…
…0110100110111010000
3110112110021011111210102
41322013212310313100
54122020233333130
6140123152551532
712321243432113
oct1720746646720
9415407144712
10131124121040
1150678169990
12214b52525a8
13c498a4c603
1464bc8c657a
1536268b1645
hex1e879b4dd0

131124121040 has 40 divisors (see below), whose sum is σ = 332578454688. Its totient is φ = 47681498240.

The previous prime is 131124121003. The next prime is 131124121049. The reversal of 131124121040 is 40121421131.

It is a tau number, because it is divible by the number of its divisors (40).

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 (131124121049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74501462 + ... + 74503221.

Almost surely, 2131124121040 is an apocalyptic number.

131124121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131124121040 is an abundant number, since it is smaller than the sum of its proper divisors (201454333648).

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

131124121040 is a wasteful number, since it uses less digits than its factorization.

131124121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149004707 (or 149004701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131124121040 its reverse (40121421131), we get a palindrome (171245542171).

The spelling of 131124121040 in words is "one hundred thirty-one billion, one hundred twenty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 149004683 298009366 596018732 745023415 1192037464 1490046830 1639051513 2384074928 2980093660 3278103026 5960187320 6556206052 8195257565 11920374640 13112412104 16390515130 26224824208 32781030260 65562060520 131124121040