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10101332003130 = 2325336133393937
BaseRepresentation
bin1001001011111110011001…
…0011100100100100111010
31022202200022012021100212100
42102333212103210210322
52311000011443100010
633252253213324230
72061540265223664
oct222774623444472
938680265240770
1010101332003130
113244a50635855
121171857796676
135837228c98a4
1426cc9b041534
15127b5b0902c0
hex92fe64e493a

10101332003130 has 48 divisors (see below), whose sum is σ = 26271278176104. Its totient is φ = 2692886999040.

The previous prime is 10101332003123. The next prime is 10101332003131. The reversal of 10101332003130 is 3130023310101.

It is a happy number.

10101332003130 is a `hidden beast` number, since 10 + 10 + 1 + 332 + 0 + 0 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9038579254929 + 1062752748201 = 3006423^2 + 1030899^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10101332003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16394479 + ... + 16999458.

Almost surely, 210101332003130 is an apocalyptic number.

10101332003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101332003130 is an abundant number, since it is smaller than the sum of its proper divisors (16169946172974).

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

10101332003130 is a wasteful number, since it uses less digits than its factorization.

10101332003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33397311 (or 33397308 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10101332003130 its reverse (3130023310101), we get a palindrome (13231355313231).

The spelling of 10101332003130 in words is "ten trillion, one hundred one billion, three hundred thirty-two million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3361 6722 10083 16805 20166 30249 33610 50415 60498 100830 151245 302490 33393937 66787874 100181811 166969685 200363622 300545433 333939370 500909055 601090866 1001818110 1502727165 3005454330 112237022257 224474044514 336711066771 561185111285 673422133542 1010133200313 1122370222570 1683555333855 2020266400626 3367110667710 5050666001565 10101332003130