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130553250224 = 24197313942323
BaseRepresentation
bin111100110010110010…
…1001000000110110000
3110110222110222021020212
41321211211020012300
54114333113001344
6135550401123252
712301142213525
oct1714545100660
9413873867225
10130553250224
11504049a7221
1221376029528
13c4076b2527
146466b6314c
1535e16e979e
hex1e659481b0

130553250224 has 80 divisors (see below), whose sum is σ = 271855516800. Its totient is φ = 60553640448.

The previous prime is 130553250199. The next prime is 130553250313. The reversal of 130553250224 is 422052355031.

It is a super-2 number, since 2×1305532502242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3063527 + ... + 3105849.

It is an arithmetic number, because the mean of its divisors is an integer number (3398193960).

Almost surely, 2130553250224 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 130553250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135927758400).

130553250224 is an abundant number, since it is smaller than the sum of its proper divisors (141302266576).

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

130553250224 is a wasteful number, since it uses less digits than its factorization.

130553250224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42562 (or 42556 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 130553250224 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 73 76 139 146 152 278 292 304 556 584 1112 1168 1387 2224 2641 2774 5282 5548 10147 10564 11096 20294 21128 22192 40588 42256 42323 81176 84646 162352 169292 192793 338584 385586 677168 771172 804137 1542344 1608274 3084688 3089579 3216548 5882897 6179158 6433096 11765794 12358316 12866192 23531588 24716632 47063176 49433264 58702001 94126352 111775043 117404002 223550086 234808004 429451481 447100172 469616008 858902962 894200344 939232016 1717805924 1788400688 3435611848 6871223696 8159578139 16319156278 32638312556 65276625112 130553250224