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13130010201 = 371131014651
BaseRepresentation
bin11000011101001110…
…00000111001011001
31020220001102121221010
430032213000321121
5203342240311301
610010513404133
7643242150060
oct141647007131
936801377833
1013130010201
115628604000
122665269649
1313132c2009
148c7b2d1d7
1551ca835d6
hex30e9c0e59

13130010201 has 64 divisors (see below), whose sum is σ = 22229563392. Its totient is φ = 6751800000.

The previous prime is 13130010133. The next prime is 13130010239. The reversal of 13130010201 is 10201003131.

It is not a de Polignac number, because 13130010201 - 215 = 13129977433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13130010251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2820726 + ... + 2825376.

It is an arithmetic number, because the mean of its divisors is an integer number (347336928).

Almost surely, 213130010201 is an apocalyptic number.

13130010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13130010201 is a deficient number, since it is larger than the sum of its proper divisors (9099553191).

13130010201 is a wasteful number, since it uses less digits than its factorization.

13130010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13130010201 its reverse (10201003131), we get a palindrome (23331013332).

The spelling of 13130010201 in words is "thirteen billion, one hundred thirty million, ten thousand, two hundred one".

Divisors: 1 3 7 11 21 33 77 101 121 231 303 363 707 847 1111 1331 2121 2541 3333 3993 4651 7777 9317 12221 13953 23331 27951 32557 36663 51161 85547 97671 134431 153483 256641 358127 403293 469751 562771 941017 1074381 1409253 1688313 2823051 3288257 3939397 5167261 6190481 9864771 11818191 15501783 18571443 36170827 43333367 56839871 108512481 130000101 170519613 397879097 625238581 1193637291 1875715743 4376670067 13130010201