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10241103434120 = 2351325037786613
BaseRepresentation
bin1001010100000111000101…
…0101010001000110001000
31100021001002002212201212122
42111001301111101012020
52320242234434342440
633440410432230412
72104616042620226
oct225016125210610
940231062781778
1010241103434120
1132992559a3689
12119496499b408
13593969010a40
1427595a171b16
1512b5dbbb27b5
hex95071551188

10241103434120 has 64 divisors (see below), whose sum is σ = 24816004078320. Its totient is φ = 3781174662144.

The previous prime is 10241103434017. The next prime is 10241103434251. The reversal of 10241103434120 is 2143430114201.

It can be written as a sum of positive squares in 8 ways, for example, as 466989089956 + 9774114344164 = 683366^2 + 3126358^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10241103434120.

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, 12625934 + ... + 13412546.

Almost surely, 210241103434120 is an apocalyptic number.

10241103434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241103434120 is an abundant number, since it is smaller than the sum of its proper divisors (14574900644200).

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

10241103434120 is a wasteful number, since it uses less digits than its factorization.

10241103434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811674 (or 811670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10241103434120 its reverse (2143430114201), we get a palindrome (12384533548321).

The spelling of 10241103434120 in words is "ten trillion, two hundred forty-one billion, one hundred three million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 25037 50074 100148 125185 200296 250370 325481 500740 650962 786613 1001480 1301924 1573226 1627405 2603848 3146452 3254810 3933065 6292904 6509620 7866130 10225969 13019240 15732260 20451938 31464520 40903876 51129845 81807752 102259690 204519380 409038760 19694429681 39388859362 78777718724 98472148405 157555437448 196944296810 256027585853 393888593620 512055171706 787777187240 1024110343412 1280137929265 2048220686824 2560275858530 5120551717060 10241103434120