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131011298272 = 25193112595521
BaseRepresentation
bin111101000000011100…
…0011100001111100000
3110112011101212112001101
41322000320130033200
54121302343021042
6140104042444144
712315403442551
oct1720070341740
9415141775041
10131011298272
115061a50a528
1221483503654
13c47b56948a
1464ab918328
15361ba276b7
hex1e80e1c3e0

131011298272 has 96 divisors (see below), whose sum is σ = 280535270400. Its totient is φ = 59997542400.

The previous prime is 131011298239. The next prime is 131011298273. The reversal of 131011298272 is 272892110131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011298273) 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, 23726872 + ... + 23732392.

It is an arithmetic number, because the mean of its divisors is an integer number (2922242400).

Almost surely, 2131011298272 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 131011298272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140267635200).

131011298272 is an abundant number, since it is smaller than the sum of its proper divisors (149523972128).

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

131011298272 is a wasteful number, since it uses less digits than its factorization.

131011298272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 131011298272 in words is "one hundred thirty-one billion, eleven million, two hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 1259 2356 2518 4712 5036 5521 9424 10072 11042 18848 20144 22084 23921 39029 40288 44168 47842 78058 88336 95684 104899 156116 171151 176672 191368 209798 312232 342302 382736 419596 624464 684604 741551 765472 839192 1248928 1369208 1483102 1678384 2738416 2966204 3251869 3356768 5476832 5932408 6503738 6950939 11864816 13007476 13901878 23729632 26014952 27803756 52029904 55607512 104059808 111215024 132067841 215479109 222430048 264135682 430958218 528271364 861916436 1056542728 1723832872 2113085456 3447665744 4094103071 4226170912 6895331488 8188206142 16376412284 32752824568 65505649136 131011298272