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311032000221 = 317151181227983
BaseRepresentation
bin1001000011010101111…
…00111010111011011101
31002201211100120201000220
410201222330322323131
520043443143001341
6354515223111553
731320443244315
oct4415274727335
91081740521026
10311032000221
1110a9a9501358
1250343ba25b9
132343a57b7a7
14110a8382445
158155e6ea66
hex486af3aedd

311032000221 has 64 divisors (see below), whose sum is σ = 446866108416. Its totient is φ = 191749248000.

The previous prime is 311032000219. The next prime is 311032000229. The reversal of 311032000221 is 122000230113.

It is not a de Polignac number, because 311032000221 - 21 = 311032000219 is a prime.

It is a super-2 number, since 2×3110320002212 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311032000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311032000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316410496 + ... + 316411478.

It is an arithmetic number, because the mean of its divisors is an integer number (6982282944).

Almost surely, 2311032000221 is an apocalyptic number.

It is an amenable number.

311032000221 is a deficient number, since it is larger than the sum of its proper divisors (135834108195).

311032000221 is a wasteful number, since it uses less digits than its factorization.

311032000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 311032000221 its reverse (122000230113), we get a palindrome (433032230334).

The spelling of 311032000221 in words is "three hundred eleven billion, thirty-two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 17 51 151 181 227 453 543 681 983 2567 2949 3077 3859 7701 9231 11577 16711 27331 34277 41087 50133 81993 102831 123261 148433 177923 223141 445299 464627 533769 582709 669423 698479 1393881 1748127 2095437 2523361 3024691 3793397 6204137 7570083 9074073 11380191 18612411 26866373 33694291 40388521 80599119 101082873 105470329 121165563 316410987 456728341 572802947 686604857 1370185023 1718408841 2059814571 6098666671 18296000013 103677333407 311032000221