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130020840672 = 2532754149177
BaseRepresentation
bin111100100010111011…
…0001001010011100000
3110102121101011001122120
41321011312021103200
54112240313400142
6135421501504240
712252015624222
oct1710566112340
9412541131576
10130020840672
1150161414028
1221247872080
13c3512c07a8
146416172412
1535aeacd7ec
hex1e45d894e0

130020840672 has 48 divisors (see below), whose sum is σ = 341324039952. Its totient is φ = 43337825280.

The previous prime is 130020840671. The next prime is 130020840673. The reversal of 130020840672 is 276048020031.

It is an interprime number because it is at equal distance from previous prime (130020840671) and next prime (130020840673).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1300208406723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130020840671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2619348 + ... + 2668524.

It is an arithmetic number, because the mean of its divisors is an integer number (7110917499).

Almost surely, 2130020840672 is an apocalyptic number.

130020840672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130020840672 is an abundant number, since it is smaller than the sum of its proper divisors (211303199280).

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

130020840672 is a wasteful number, since it uses less digits than its factorization.

130020840672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76731 (or 76723 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 130020840672 in words is "one hundred thirty billion, twenty million, eight hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27541 49177 55082 82623 98354 110164 147531 165246 196708 220328 295062 330492 393416 440656 590124 660984 786832 881312 1180248 1321968 1573664 2360496 2643936 4720992 1354383757 2708767514 4063151271 5417535028 8126302542 10835070056 16252605084 21670140112 32505210168 43340280224 65010420336 130020840672