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10241130260106 = 23210722746750159
BaseRepresentation
bin1001010100000111001011…
…1011100110011010001010
31100021001010222100122012200
42111001302323212122022
52320242313321310411
633440413231221030
72104616516626134
oct225016273463212
940231128318180
1010241130260106
11329926a056419
121194971977776
135939717440c5
1427595d956054
1512b5de210e56
hex95072ee668a

10241130260106 has 96 divisors (see below), whose sum is σ = 22543772359680. Its totient is φ = 3359631794208.

The previous prime is 10241130260063. The next prime is 10241130260107. The reversal of 10241130260106 is 60106203114201.

It is a happy number.

10241130260106 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 13 + 0 + 2 + 601 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10241130260106.

It is not an unprimeable number, because it can be changed into a prime (10241130260107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204148255 + ... + 204198413.

It is an arithmetic number, because the mean of its divisors is an integer number (234830962080).

Almost surely, 210241130260106 is an apocalyptic number.

10241130260106 is an abundant number, since it is smaller than the sum of its proper divisors (12302642099574).

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

10241130260106 is a wasteful number, since it uses less digits than its factorization.

10241130260106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50968 (or 50965 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10241130260106 its reverse (60106203114201), we get a palindrome (70347333374307).

The spelling of 10241130260106 in words is "ten trillion, two hundred forty-one billion, one hundred thirty million, two hundred sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 107 214 227 321 454 467 642 681 934 963 1362 1401 1926 2043 2802 4086 4203 8406 24289 48578 49969 50159 72867 99938 100318 106009 145734 149907 150477 212018 218601 299814 300954 318027 437202 449721 451431 636054 899442 902862 954081 1908162 5367013 10734026 11342963 11386093 16101039 22685926 22772186 23424253 32202078 34028889 34158279 46848506 48303117 68057778 68316558 70272759 96606234 102086667 102474837 140545518 204173334 204949674 210818277 421636554 1218311951 2436623902 2506395071 3654935853 5012790142 5317305431 7309871706 7519185213 10634610862 10964807559 15038370426 15951916293 21929615118 22557555639 31903832586 45115111278 47855748879 95711497758 568951681117 1137903362234 1706855043351 3413710086702 5120565130053 10241130260106