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10130001321 = 3114725126021
BaseRepresentation
bin10010110111100101…
…11000110110101001
3222010222101101102010
421123302320312221
5131221240020241
64353105030133
7506013406356
oct113362706651
928128341363
1010130001321
114329137a20
121b68625349
13c5590672b
146c152362d
153e44dbd16
hex25bcb8da9

10130001321 has 32 divisors (see below), whose sum is σ = 15108581376. Its totient is φ = 5984600000.

The previous prime is 10130001311. The next prime is 10130001337. The reversal of 10130001321 is 12310003101.

10130001321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10130001321 - 29 = 10130000809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10130001297 and 10130001306.

It is not an unprimeable number, because it can be changed into a prime (10130001311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376291 + ... + 402311.

It is an arithmetic number, because the mean of its divisors is an integer number (472143168).

Almost surely, 210130001321 is an apocalyptic number.

10130001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10130001321 is a deficient number, since it is larger than the sum of its proper divisors (4978580055).

10130001321 is a wasteful number, since it uses less digits than its factorization.

10130001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26333.

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

Adding to 10130001321 its reverse (12310003101), we get a palindrome (22440004422).

The spelling of 10130001321 in words is "ten billion, one hundred thirty million, one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 47 141 251 517 753 1551 2761 8283 11797 26021 35391 78063 129767 286231 389301 858693 1222987 3668961 6531271 13452857 19593813 40358571 71843981 215531943 306969737 920909211 3376667107 10130001321