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130120422624 = 2533192417181
BaseRepresentation
bin111100100101111001…
…0000001010011100000
3110102212022112100102000
41321023302001103200
54112441312010444
6135435420124000
712254335225503
oct1711362012340
9412768470360
10130120422624
115020264a465
1221275096600
13c368b18c1a
14642549513a
1535b86ee469
hex1e4bc814e0

130120422624 has 144 divisors (see below), whose sum is σ = 400544781840. Its totient is φ = 41090561280.

The previous prime is 130120422599. The next prime is 130120422671. The reversal of 130120422624 is 426224021031.

130120422624 is a `hidden beast` number, since 1 + 3 + 0 + 12 + 0 + 4 + 22 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1301204226243 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103314 + ... + 520494.

It is an arithmetic number, because the mean of its divisors is an integer number (2781560985).

Almost surely, 2130120422624 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 130120422624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200272390920).

130120422624 is an abundant number, since it is smaller than the sum of its proper divisors (270424359216).

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

130120422624 is a wasteful number, since it uses less digits than its factorization.

130120422624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417238 (or 417205 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130120422624 its reverse (426224021031), we get a palindrome (556344443655).

The spelling of 130120422624 in words is "one hundred thirty billion, one hundred twenty million, four hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 361 432 456 513 608 684 722 864 912 1026 1083 1368 1444 1824 2052 2166 2736 2888 3249 4104 4332 5472 5776 6498 8208 8664 9747 11552 12996 16416 17328 19494 25992 34656 38988 51984 77976 103968 155952 311904 417181 834362 1251543 1668724 2503086 3337448 3754629 5006172 6674896 7509258 7926439 10012344 11263887 13349792 15018516 15852878 20024688 22527774 23779317 30037032 31705756 40049376 45055548 47558634 60074064 63411512 71337951 90111096 95117268 120148128 126823024 142675902 150602341 180222192 190234536 214013853 253646048 285351804 301204682 360444384 380469072 428027706 451807023 570703608 602409364 760938144 856055412 903614046 1141407216 1204818728 1355421069 1712110824 1807228092 2282814432 2409637456 2710842138 3424221648 3614456184 4066263207 4819274912 5421684276 6848443296 7228912368 8132526414 10843368552 14457824736 16265052828 21686737104 32530105656 43373474208 65060211312 130120422624