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131101000436 = 22747787126583
BaseRepresentation
bin111101000011000111…
…0101000001011110100
3110112101122122212021202
41322012032220023310
54121443324003221
6140121005232032
712320543055110
oct1720616501364
9415348585252
10131101000436
115066610804a
12214a9562618
13c494015993
1464b97c8740
153624845d0b
hex1e863a82f4

131101000436 has 48 divisors (see below), whose sum is σ = 268123140096. Its totient is φ = 54920385504.

The previous prime is 131101000427. The next prime is 131101000439. The reversal of 131101000436 is 634000101131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101000439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972401 + ... + 1098983.

It is an arithmetic number, because the mean of its divisors is an integer number (5585898752).

Almost surely, 2131101000436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101000436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134061570048).

131101000436 is an abundant number, since it is smaller than the sum of its proper divisors (137022139660).

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

131101000436 is a wasteful number, since it uses less digits than its factorization.

131101000436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127428 (or 127426 counting only the distinct ones).

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

Adding to 131101000436 its reverse (634000101131), we get a palindrome (765101101567).

The spelling of 131101000436 in words is "one hundred thirty-one billion, one hundred one million, four hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 47 94 188 329 658 787 1316 1574 3148 5509 11018 22036 36989 73978 126583 147956 253166 258923 506332 517846 886081 1035692 1772162 3544324 5949401 11898802 23797604 41645807 83291614 99620821 166583228 199241642 398483284 697345747 1394691494 2789382988 4682178587 9364357174 18728714348 32775250109 65550500218 131101000436