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221001221112 = 233723371545809
BaseRepresentation
bin1100110111010010110…
…0110000001111111000
3210010102221210020220120
43031310230300033320
512110102303033422
6245305423053240
721652421245620
oct3156454601770
9703387706816
10221001221112
11857a9478491
12369b8a41220
1317ac0270a29
14a9a7351880
155b3706345c
hex3374b303f8

221001221112 has 128 divisors (see below), whose sum is σ = 676693785600. Its totient is φ = 58765436928.

The previous prime is 221001221099. The next prime is 221001221159. The reversal of 221001221112 is 211122100122.

It is a super-2 number, since 2×2210012211122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221001221091 and 221001221100.

It is a congruent number.

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, 629937 + ... + 915872.

It is an arithmetic number, because the mean of its divisors is an integer number (5286670200).

Almost surely, 2221001221112 is an apocalyptic number.

It is an amenable number.

221001221112 is an abundant number, since it is smaller than the sum of its proper divisors (455692564488).

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

221001221112 is a wasteful number, since it uses less digits than its factorization.

221001221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545885 (or 1545881 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221001221112 its reverse (211122100122), we get a palindrome (432123321234).

The spelling of 221001221112 in words is "two hundred twenty-one billion, one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 37 42 46 56 69 74 84 92 111 138 148 161 168 184 222 259 276 296 322 444 483 518 552 644 777 851 888 966 1036 1288 1554 1702 1932 2072 2553 3108 3404 3864 5106 5957 6216 6808 10212 11914 17871 20424 23828 35742 47656 71484 142968 1545809 3091618 4637427 6183236 9274854 10820663 12366472 18549708 21641326 32461989 35553607 37099416 43282652 57194933 64923978 71107214 86565304 106660821 114389866 129847956 142214428 171584799 213321642 228779732 248875249 259695912 284428856 343169598 400364531 426643284 457559464 497750498 686339196 746625747 800729062 853286568 995500996 1201093593 1315483459 1372678392 1493251494 1601458124 1991001992 2402187186 2630966918 2986502988 3202916248 3946450377 4804374372 5261933836 5973005976 7892900754 9208384213 9608748744 10523867672 15785801508 18416768426 27625152639 31571603016 36833536852 55250305278 73667073704 110500610556 221001221112