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10133400204213 = 31113167141442991
BaseRepresentation
bin1001001101110101110110…
…1110000011001110110101
31022212202002002020202202120
42103131131232003032311
52312011200423013323
633315115250230153
72064054050356416
oct223353556031665
938782062222676
1010133400204213
113257607268980
121177b07285359
135867635c7ac0
1427066001980d
151288d654e5e3
hex9375db833b5

10133400204213 has 32 divisors (see below), whose sum is σ = 15968348024832. Its totient is φ = 5635088721600.

The previous prime is 10133400204209. The next prime is 10133400204223. The reversal of 10133400204213 is 31240200433101.

It is a happy number.

It is not a de Polignac number, because 10133400204213 - 22 = 10133400204209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133400204223) 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, 70649853 + ... + 70793138.

It is an arithmetic number, because the mean of its divisors is an integer number (499010875776).

Almost surely, 210133400204213 is an apocalyptic number.

10133400204213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10133400204213 is a deficient number, since it is larger than the sum of its proper divisors (5834947820619).

10133400204213 is a wasteful number, since it uses less digits than its factorization.

10133400204213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141443185.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10133400204213 its reverse (31240200433101), we get a palindrome (41373600637314).

The spelling of 10133400204213 in words is "ten trillion, one hundred thirty-three billion, four hundred million, two hundred four thousand, two hundred thirteen".

Divisors: 1 3 11 13 33 39 143 167 429 501 1837 2171 5511 6513 23881 71643 141442991 424328973 1555872901 1838758883 4667618703 5516276649 20226347713 23620979497 60679043139 70862938491 259830774467 307072733461 779492323401 921218200383 3377800068071 10133400204213