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3221012132112 = 2432359149331883
BaseRepresentation
bin101110110111110011010…
…010001011000100010000
3102101220222212120212102210
4232313303102023010100
5410233113101211422
610503413524312120
7451465453245345
oct56676322130420
912356885525383
103221012132112
111032029416815
12440306542640
131a4981121038
14b1c7d8887cc
1558bbc71010c
hex2edf348b110

3221012132112 has 160 divisors (see below), whose sum is σ = 8889181056000. Its totient is φ = 1002804030976.

The previous prime is 3221012132059. The next prime is 3221012132183. The reversal of 3221012132112 is 2112312101223.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9539323 + ... + 9871205.

It is an arithmetic number, because the mean of its divisors is an integer number (55557381600).

Almost surely, 23221012132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221012132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444590528000).

3221012132112 is an abundant number, since it is smaller than the sum of its proper divisors (5668168923888).

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

3221012132112 is a wasteful number, since it uses less digits than its factorization.

3221012132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332125 (or 332119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3221012132112 its reverse (2112312101223), we get a palindrome (5333324233335).

The spelling of 3221012132112 in words is "three trillion, two hundred twenty-one billion, twelve million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 149 177 184 236 276 298 354 368 447 472 552 596 708 894 944 1104 1192 1357 1416 1788 2384 2714 2832 3427 3576 4071 5428 6854 7152 8142 8791 10281 10856 13708 16284 17582 20562 21712 26373 27416 32568 35164 41124 52746 54832 65136 70328 82248 105492 140656 164496 202193 210984 331883 404386 421968 606579 663766 808772 995649 1213158 1327532 1617544 1991298 2426316 2655064 3235088 3982596 4852632 5310128 7633309 7965192 9705264 15266618 15930384 19581097 22899927 30533236 39162194 45799854 49450567 58743291 61066472 78324388 91599708 98901134 117486582 122132944 148351701 156648776 183199416 197802268 234973164 296703402 313297552 366398832 395604536 450365231 469946328 593406804 791209072 900730462 939892656 1137363041 1186813608 1351095693 1801460924 2274726082 2373627216 2702191386 2917583453 3412089123 3602921848 4549452164 5404382772 5835166906 6824178246 7205843696 8752750359 9098904328 10808765544 11670333812 13648356492 17505500718 18197808656 21617531088 23340667624 27296712984 35011001436 46681335248 54593425968 67104419419 70022002872 134208838838 140044005744 201313258257 268417677676 402626516514 536835355352 805253033028 1073670710704 1610506066056 3221012132112