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211144132302 = 233173137223509
BaseRepresentation
bin1100010010100100101…
…0111100011011001110
3202011222222221021002020
43010221022330123032
511424410344213202
6240555343311010
721153230340435
oct3045112743316
9664888837066
10211144132302
11816003a37a4
1234b078ab466
1316bac06c9bc
14a31019011c
15575b9d45bc
hex31292bc6ce

211144132302 has 128 divisors (see below), whose sum is σ = 447981649920. Its totient is φ = 66258155520.

The previous prime is 211144132301. The next prime is 211144132307. The reversal of 211144132302 is 203231441112.

211144132302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211144132301) 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 63 ways as a sum of consecutive naturals, for example, 414821224 + ... + 414821732.

It is an arithmetic number, because the mean of its divisors is an integer number (3499856640).

Almost surely, 2211144132302 is an apocalyptic number.

211144132302 is an abundant number, since it is smaller than the sum of its proper divisors (236837517618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211144132302 is a wasteful number, since it uses less digits than its factorization.

211144132302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211144132302 its reverse (203231441112), we get a palindrome (414375573414).

The spelling of 211144132302 in words is "two hundred eleven billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 31 62 73 93 137 146 186 219 223 274 411 438 446 509 669 822 1018 1338 1527 2263 3054 4247 4526 6789 6913 8494 10001 12741 13578 13826 15779 16279 20002 20739 25482 30003 30551 31558 32558 37157 41478 47337 48837 60006 61102 69733 74314 91653 94674 97674 111471 113507 139466 183306 209199 222942 227014 310031 340521 418398 504649 620062 681042 930093 947081 1009298 1151867 1513947 1860186 1894162 2161723 2230223 2303734 2841243 3027894 3455601 3518717 4323446 4460446 5090509 5682486 6485169 6690669 6911202 7037434 8286011 10181018 10556151 12970338 13381338 15271527 15550459 16572022 21112302 24858033 30543054 31100918 46651377 49716066 69136913 93302754 138273826 157805779 207410739 256866341 315611558 414821478 473417337 482064229 513732682 770599023 946834674 964128458 1135183507 1446192687 1541198046 2270367014 2892385374 3405550521 6811101042 35190688717 70381377434 105572066151 211144132302