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32120220331012 = 22112109767379349
BaseRepresentation
bin1110100110110100100100…
…10100101010110000000100
311012201122220101022012021111
413103122102110222300010
513202224202401043022
6152151454151054404
76523416001012162
oct723322224526004
9135648811265244
1032120220331012
11a264122005a00
123729144971404
1314bcc01712c58
147d08ac538232
153aa7c2280477
hex1d369252ac04

32120220331012 has 72 divisors (see below), whose sum is σ = 62360715879000. Its totient is φ = 14464086658560.

The previous prime is 32120220330949. The next prime is 32120220331027. The reversal of 32120220331012 is 21013302202123.

It can be written as a sum of positive squares in 4 ways, for example, as 1989408695296 + 30130811635716 = 1410464^2 + 5489154^2 .

It is a super-2 number, since 2×321202203310122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 404757114 + ... + 404836462.

It is an arithmetic number, because the mean of its divisors is an integer number (866121053875).

Almost surely, 232120220331012 is an apocalyptic number.

It is an amenable number.

32120220331012 is a deficient number, since it is larger than the sum of its proper divisors (30240495547988).

32120220331012 is a wasteful number, since it uses less digits than its factorization.

32120220331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87157 (or 87144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 32120220331012 its reverse (21013302202123), we get a palindrome (53133522533135).

The spelling of 32120220331012 in words is "thirty-two trillion, one hundred twenty billion, two hundred twenty million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 4 11 22 44 109 121 218 242 436 484 1199 2398 4796 7673 13189 15346 26378 30692 52756 79349 84403 158698 168806 317396 337612 836357 872839 928433 1672714 1745678 1856866 3345428 3491356 3713732 8649041 9199927 9601229 17298082 18399854 19202458 34596164 36799708 38404916 95139451 101199197 190278902 202398394 380557804 404796788 608844877 1046533961 1217689754 2093067922 2435379508 4186135844 6697293647 13394587294 26789174588 66364091593 73670230117 132728183186 147340460234 265456366372 294680920468 730005007523 1460010015046 2920020030092 8030055082753 16060110165506 32120220331012