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131014031104 = 2811172736757
BaseRepresentation
bin111101000000100001…
…0110111011100000000
3110112011121000100210101
41322001002313130000
54121304042443404
6140104221212144
712315435614155
oct1720102673400
9415147010711
10131014031104
1150621006770
1221484401054
13c47bcb5338
1464ac02a22c
15361bdb72a4
hex1e810b7700

131014031104 has 72 divisors (see below), whose sum is σ = 302072401008. Its totient is φ = 56048762880.

The previous prime is 131014031089. The next prime is 131014031111. The reversal of 131014031104 is 401130410131.

It is a super-3 number, since 3×1310140311043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320507 + ... + 1416250.

It is an arithmetic number, because the mean of its divisors is an integer number (4195450014).

Almost surely, 2131014031104 is an apocalyptic number.

It is an amenable number.

131014031104 is an abundant number, since it is smaller than the sum of its proper divisors (171058369904).

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

131014031104 is a wasteful number, since it uses less digits than its factorization.

131014031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736801 (or 2736787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131014031104 its reverse (401130410131), we get a palindrome (532144441235).

The spelling of 131014031104 in words is "one hundred thirty-one billion, fourteen million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 47872 2736757 5473514 10947028 21894056 30104327 43788112 46524869 60208654 87576224 93049738 120417308 175152448 186099476 240834616 350304896 372198952 481669232 511773559 700609792 744397904 963338464 1023547118 1488795808 1926676928 2047094236 2977591616 3853353856 4094188472 5955183232 7706707712 8188376944 11910366464 16376753888 32753507776 65507015552 131014031104