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10245613603230 = 2345234391252739
BaseRepresentation
bin1001010100010111111000…
…1010001100100110011110
31100021110201102120001210000
42111011332022030212132
52320331004040300410
633442434144555130
72105135566463265
oct225057612144636
940243642501700
1010245613603230
1132a015a85a475
121195803322aa6
13594207538065
14275c671675dc
1512b7a2b0ddc0
hex9517e28c99e

10245613603230 has 160 divisors (see below), whose sum is σ = 28812619123200. Its totient is φ = 2607418807488.

The previous prime is 10245613603153. The next prime is 10245613603297. The reversal of 10245613603230 is 3230631654201.

10245613603230 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 6 + 13 + 603 + 2 + 30 = 666.

10245613603230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102456136032303 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7552201 + ... + 8804939.

It is an arithmetic number, because the mean of its divisors is an integer number (180078869520).

Almost surely, 210245613603230 is an apocalyptic number.

10245613603230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245613603230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406309561600).

10245613603230 is an abundant number, since it is smaller than the sum of its proper divisors (18567005519970).

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

10245613603230 is a wasteful number, since it uses less digits than its factorization.

10245613603230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253220 (or 1253211 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10245613603230 in words is "ten trillion, two hundred forty-five billion, six hundred thirteen million, six hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 439 621 690 810 878 1035 1242 1317 1863 2070 2195 2634 3105 3726 3951 4390 6210 6585 7902 9315 10097 11853 13170 18630 19755 20194 23706 30291 35559 39510 50485 59265 60582 71118 90873 100970 118530 151455 177795 181746 272619 302910 355590 454365 545238 817857 908730 1252739 1363095 1635714 2505478 2726190 3758217 4089285 6263695 7516434 8178570 11274651 12527390 18791085 22549302 28812997 33823953 37582170 56373255 57625994 67647906 86438991 101471859 112746510 144064985 169119765 172877982 202943718 259316973 288129970 338239530 432194955 507359295 518633946 549952421 777950919 864389910 1014718590 1099904842 1296584865 1555901838 1649857263 2333852757 2593169730 2749762105 3299714526 3889754595 4667705514 4949571789 5499524210 7779509190 8249286315 9899143578 11669263785 12648905683 14848715367 16498572630 23338527570 24747858945 25297811366 29697430734 37946717049 44546146101 49495717890 63244528415 74243576835 75893434098 89092292202 113840151147 126489056830 148487153670 189733585245 222730730505 227680302294 341520453441 379467170490 445461461010 569200755735 683040906882 1024561360323 1138401511470 1707602267205 2049122720646 3415204534410 5122806801615 10245613603230