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213020213133 = 37135920876337
BaseRepresentation
bin1100011001100011111…
…1100111111110001101
3202100211202010001011110
43012120333213332031
511442231133310013
6241505442242233
721250560636030
oct3063077477615
9670752101143
10213020213133
11823833a2022
1235350056379
131711a94a2c0
14a44b3cd017
15581b56a2c3
hex3198fe7f8d

213020213133 has 64 divisors (see below), whose sum is σ = 355723038720. Its totient is φ = 110387515392.

The previous prime is 213020213123. The next prime is 213020213143. The reversal of 213020213133 is 331312020312.

It is an interprime number because it is at equal distance from previous prime (213020213123) and next prime (213020213143).

It is not a de Polignac number, because 213020213133 - 29 = 213020212621 is a prime.

It is a super-2 number, since 2×2130202131332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213020213123) 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, 33612141 + ... + 33618477.

It is an arithmetic number, because the mean of its divisors is an integer number (5558172480).

Almost surely, 2213020213133 is an apocalyptic number.

It is an amenable number.

213020213133 is a deficient number, since it is larger than the sum of its proper divisors (142702825587).

213020213133 is a wasteful number, since it uses less digits than its factorization.

213020213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213020213133 its reverse (331312020312), we get a palindrome (544332233445).

The spelling of 213020213133 in words is "two hundred thirteen billion, twenty million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 7 13 21 39 59 91 177 273 413 767 1239 2087 2301 5369 6261 6337 14609 16107 19011 27131 43827 44359 81393 82381 123133 133077 189917 247143 369399 373883 569751 576667 861931 1121649 1600729 1730001 2585793 2617181 4802187 4860479 7851543 11205103 13225319 14581437 33615309 34023353 39675957 92577233 102070059 171929147 277731699 515787441 780293821 1203504029 2340881463 3610512087 5462056747 10143819673 16386170241 30431459019 71006737711 213020213133