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10221311332012 = 221121409149310039
BaseRepresentation
bin1001010010111101010110…
…1000011000111010101100
31100012010222202112202220211
42110233111220120322230
52314431221200111022
633423334450552204
72103315423543514
oct224572550307254
940163882482824
1010221311332012
113290919861400
121190b60598664
13591b33727211
142749dd726844
1512ad2e310e77
hex94bd5a18eac

10221311332012 has 72 divisors (see below), whose sum is σ = 19690334949600. Its totient is φ = 4639181352960.

The previous prime is 10221311332007. The next prime is 10221311332049. The reversal of 10221311332012 is 21023311312201.

10221311332012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018155289 + ... + 1018165327.

It is an arithmetic number, because the mean of its divisors is an integer number (273476874300).

Almost surely, 210221311332012 is an apocalyptic number.

It is an amenable number.

10221311332012 is a deficient number, since it is larger than the sum of its proper divisors (9469023617588).

10221311332012 is a wasteful number, since it uses less digits than its factorization.

10221311332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10221311332012 its reverse (21023311312201), we get a palindrome (31244622644213).

The spelling of 10221311332012 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 4 11 22 44 121 242 484 1409 1493 2818 2986 5636 5972 10039 15499 16423 20078 30998 32846 40156 61996 65692 110429 170489 180653 220858 340978 361306 441716 681956 722612 1214719 2103637 2429438 4207274 4858876 8414548 14144951 14988227 23140007 28289902 29976454 46280014 56579804 59952908 92560028 155594461 164870497 254540077 311188922 329740994 509080154 622377844 659481988 1018160308 1711539071 1813575467 3423078142 3627150934 6846156284 7254301868 21118411843 42236823686 84473647372 232302530273 464605060546 929210121092 2555327833003 5110655666006 10221311332012