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130501103442160 = 245111519157107251
BaseRepresentation
bin11101101011000010100111…
…111010011101100011110000
3122010001210011021112200002111
4131223002213322131203300
5114101112224440122120
61141315213531455104
736326251666531513
oct3553024772354360
9563053137480074
10130501103442160
11386442308110a0
1212777ba35b7494
1357a82801ba5c9
142432403b78d7a
151014976ee275a
hex76b0a7e9d8f0

130501103442160 has 160 divisors (see below), whose sum is σ = 333229788071424. Its totient is φ = 47135088000000.

The previous prime is 130501103442113. The next prime is 130501103442167. The reversal of 130501103442160 is 61244301105031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130501103442167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216728535 + ... + 1216835785.

Almost surely, 2130501103442160 is an apocalyptic number.

130501103442160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130501103442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166614894035712).

130501103442160 is an abundant number, since it is smaller than the sum of its proper divisors (202728684629264).

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

130501103442160 is a wasteful number, since it uses less digits than its factorization.

130501103442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116583 (or 116577 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 130501103442160 its reverse (61244301105031), we get a palindrome (191745404547191).

The spelling of 130501103442160 in words is "one hundred thirty trillion, five hundred one billion, one hundred three million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 2416 3020 3322 6040 6644 8305 9157 12080 13288 16610 18314 26576 33220 36628 45785 66440 73256 91570 100727 107251 132880 146512 183140 201454 214502 366280 402908 429004 503635 536255 732560 805816 858008 1007270 1072510 1179761 1382707 1611632 1716016 2014540 2145020 2359522 2765414 4029080 4290040 4719044 5530828 5898805 6913535 8058160 8580080 9438088 11061656 11797610 13827070 15209777 16194901 18876176 22123312 23595220 27654140 30419554 32389802 47190440 55308280 60839108 64779604 76048885 80974505 94380880 110616560 121678216 129559208 152097770 161949010 178143911 243356432 259118416 304195540 323898020 356287822 608391080 647796040 712575644 890719555 982097407 1216782160 1295592080 1425151288 1781439110 1964194814 2850302576 3562878220 3928389628 4910487035 7125756440 7856779256 9820974070 10803071477 14251512880 15713558512 19641948140 21606142954 39283896280 43212285908 54015357385 78567792560 86424571816 108030714770 148296708457 172849143632 216061429540 296593416914 432122859080 593186833828 741483542285 864245718160 1186373667656 1482967084570 1631263793027 2372747335312 2965934169140 3262527586054 5931868338280 6525055172108 8156318965135 11863736676560 13050110344216 16312637930270 26100220688432 32625275860540 65250551721080 130501103442160