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130344210024 = 23371771642799
BaseRepresentation
bin111100101100100011…
…1101100111001101000
3110110102220121221000020
41321121013230321220
54113421104210044
6135513532440440
712263023335060
oct1713107547150
9413386557006
10130344210024
11503079aa226
1221318019120
13c3a32b14c2
1464470aa3a0
1535cd1a6a19
hex1e591ece68

130344210024 has 128 divisors (see below), whose sum is σ = 399873024000. Its totient is φ = 34556820480.

The previous prime is 130344209977. The next prime is 130344210043. The reversal of 130344210024 is 420012443031.

It is a super-2 number, since 2×1303442100242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130344209976 and 130344210003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118624 + ... + 524175.

It is an arithmetic number, because the mean of its divisors is an integer number (3124008000).

Almost surely, 2130344210024 is an apocalyptic number.

130344210024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130344210024 is an abundant number, since it is smaller than the sum of its proper divisors (269528813976).

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

130344210024 is a wasteful number, since it uses less digits than its factorization.

130344210024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642903 (or 642899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130344210024 its reverse (420012443031), we get a palindrome (550356653055).

The spelling of 130344210024 in words is "one hundred thirty billion, three hundred forty-four million, two hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 71 84 102 119 136 142 168 204 213 238 284 357 408 426 476 497 568 714 852 952 994 1207 1428 1491 1704 1988 2414 2856 2982 3621 3976 4828 5964 7242 8449 9656 11928 14484 16898 25347 28968 33796 50694 67592 101388 202776 642799 1285598 1928397 2571196 3856794 4499593 5142392 7713588 8999186 10927583 13498779 15427176 17998372 21855166 26997558 32782749 35996744 43710332 45638729 53995116 65565498 76493081 87420664 91277458 107990232 131130996 136916187 152986162 182554916 229479243 262261992 273832374 305972324 319471103 365109832 458958486 547664748 611944648 638942206 775858393 917916972 958413309 1095329496 1277884412 1551716786 1835833944 1916826618 2327575179 2555768824 3103433572 3833653236 4655150358 5431008751 6206867144 7667306472 9310300716 10862017502 16293026253 18620601432 21724035004 32586052506 43448070008 65172105012 130344210024