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10010311130204 = 227111392221105277
BaseRepresentation
bin1001000110101011010100…
…0010011111110001011100
31022102222100210102221100122
42101222311002133301130
52303002104122131304
633142401244214112
72052135561453350
oct221526502376134
938388323387318
1010010311130204
11320a392734830
121158094b3a338
13577c7843c8b8
14268704721460
151255d02ac9be
hex91ab509fc5c

10010311130204 has 96 divisors (see below), whose sum is σ = 22007919521280. Its totient is φ = 3870282643200.

The previous prime is 10010311130201. The next prime is 10010311130207. The reversal of 10010311130204 is 40203111301001.

10010311130204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10010311130201) and next prime (10010311130207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010311130201) 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, 95032814 + ... + 95138090.

It is an arithmetic number, because the mean of its divisors is an integer number (229249161680).

Almost surely, 210010311130204 is an apocalyptic number.

10010311130204 is a gapful number since it is divisible by the number (14) 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 10010311130204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003959760640).

10010311130204 is an abundant number, since it is smaller than the sum of its proper divisors (11997608391076).

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

10010311130204 is a wasteful number, since it uses less digits than its factorization.

10010311130204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107659 (or 107657 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10010311130204 its reverse (40203111301001), we get a palindrome (50213422431205).

The spelling of 10010311130204 in words is "ten trillion, ten billion, three hundred eleven million, one hundred thirty thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 556 973 1529 1946 2221 3058 3892 4442 6116 8884 10703 15547 21406 24431 31094 42812 48862 62188 97724 105277 171017 210554 308719 342034 421108 617438 684068 736939 1158047 1234876 1473878 2161033 2316094 2947756 3395909 4322066 4632188 6791818 8106329 8644132 13583636 14633503 16212658 23771363 29267006 32425316 47542726 58534012 95085452 102434521 160968533 204869042 233820217 321937066 409738084 467640434 643874132 935280868 1126779731 1636741519 2253559462 2572022387 3273483038 4507118924 5144044774 6546966076 10288089548 18004156709 32501010163 36008313418 65002020326 72016626836 130004040652 227507071141 357511111793 455014142282 715022223586 910028284564 1430044447172 2502577782551 5005155565102 10010311130204