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32120221221 = 34111910131873
BaseRepresentation
bin11101111010100000…
…111010111000100101
310001220111212022010000
4131322200322320211
51011240234034341
622431131451513
72214653242554
oct357240727045
9101814768100
1032120221221
1112693033680
126284bb6b99
13304b712c7a
1417a9c79d9b
15c7ed378b6
hex77a83ae25

32120221221 has 80 divisors (see below), whose sum is σ = 55182853440. Its totient is φ = 18414190080.

The previous prime is 32120221207. The next prime is 32120221267. The reversal of 32120221221 is 12212202123.

It is not a de Polignac number, because 32120221221 - 213 = 32120213029 is a prime.

It is a super-2 number, since 2×321202212212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32120221194 and 32120221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120221201) 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 79 ways as a sum of consecutive naturals, for example, 17148141 + ... + 17150013.

It is an arithmetic number, because the mean of its divisors is an integer number (689785668).

Almost surely, 232120221221 is an apocalyptic number.

It is an amenable number.

32120221221 is a deficient number, since it is larger than the sum of its proper divisors (23062632219).

32120221221 is a wasteful number, since it uses less digits than its factorization.

32120221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32120221221 its reverse (12212202123), we get a palindrome (44332423344).

The spelling of 32120221221 in words is "thirty-two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1013 1539 1873 1881 3039 5619 5643 9117 11143 16857 16929 19247 20603 27351 33429 35587 50571 57741 61809 82053 100287 106761 151713 173223 185427 211717 300861 320283 391457 519669 556281 635151 902583 960849 1174371 1559007 1668843 1897349 1905453 2882547 3523113 5692047 5716359 10569339 17076141 17149077 20870839 31708017 36049631 51228423 62612517 108148893 153685269 187837551 324446679 396545941 563512653 973340037 1189637823 1690537959 2920020111 3568913469 10706740407 32120221221