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130103536122 = 23373115173529
BaseRepresentation
bin111100100101011000…
…1100110100111111010
3110102211010202102111000
41321022301212213322
54112423001123442
6135434014145430
712254041544640
oct1711261464772
9412733672430
10130103536122
11501a406637a
122126b4b2276
13c365485a01
14642313b190
1535b6eb5d4c
hex1e4ac669fa

130103536122 has 128 divisors (see below), whose sum is σ = 343343923200. Its totient is φ = 35734608000.

The previous prime is 130103536103. The next prime is 130103536159. The reversal of 130103536122 is 221635301031.

130103536122 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 3 + 536 + 122 = 666.

It is a super-2 number, since 2×1301035361222 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732654 + ... + 1806182.

It is an arithmetic number, because the mean of its divisors is an integer number (2682374400).

Almost surely, 2130103536122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130103536122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171671961600).

130103536122 is an abundant number, since it is smaller than the sum of its proper divisors (213240387078).

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

130103536122 is a wasteful number, since it uses less digits than its factorization.

130103536122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73729 (or 73723 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 130103536122 its reverse (221635301031), we get a palindrome (351738837153).

The spelling of 130103536122 in words is "one hundred thirty billion, one hundred three million, five hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 151 186 189 217 279 302 378 434 453 558 651 837 906 1057 1302 1359 1674 1953 2114 2718 3171 3906 4077 4681 5859 6342 8154 9362 9513 11718 14043 19026 28086 28539 32767 42129 57078 65534 73529 84258 98301 126387 147058 196602 220587 252774 294903 441174 514703 589806 661761 884709 1029406 1323522 1544109 1769418 1985283 2279399 3088218 3970566 4558798 4632327 6838197 9264654 11102879 13676394 13896981 15955793 20514591 22205758 27793962 31911586 33308637 41029182 47867379 61543773 66617274 77720153 95734758 99925911 123087546 143602137 155440306 199851822 233160459 287204274 299777733 344189249 430806411 466320918 599555466 688378498 699481377 861612822 1032567747 1398962754 2065135494 2098444131 2409324743 3097703241 4196888262 4818649486 6195406482 7227974229 9293109723 14455948458 18586219446 21683922687 43367845374 65051768061 130103536122