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101213133 = 37192341269
BaseRepresentation
bin1100000100001…
…10001111001101
321001110011022120
412002012033031
5201402310013
614013203153
72336204010
oct602061715
9231404276
10101213133
115214aa1a
1229a904b9
1317c79a38
14d629377
158d44123
hex60863cd

101213133 has 64 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 50941440.

The previous prime is 101213129. The next prime is 101213173. The reversal of 101213133 is 331312101.

It is not a de Polignac number, because 101213133 - 22 = 101213129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213173) 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, 376123 + ... + 376391.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2101213133 is an apocalyptic number.

It is an amenable number.

101213133 is a deficient number, since it is larger than the sum of its proper divisors (72969267).

101213133 is a wasteful number, since it uses less digits than its factorization.

101213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101213133 is about 10060.4737959999. The cubic root of 101213133 is about 466.0282989808.

Adding to 101213133 its reverse (331312101), we get a palindrome (432525234).

The spelling of 101213133 in words is "one hundred one million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 7 19 21 23 41 57 69 123 133 161 269 287 399 437 483 779 807 861 943 1311 1883 2337 2829 3059 5111 5453 5649 6187 6601 9177 11029 15333 16359 17917 18561 19803 33087 35777 43309 53751 77203 107331 117553 125419 129927 209551 231609 253667 352659 376257 628653 761001 822871 1466857 1775669 2468613 4400571 4819673 5327007 14459019 33737711 101213133