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1022221210112 = 2926956313183
BaseRepresentation
bin11101110000000010010…
…00011101001000000000
310121201112100112212011222
432320001020131020000
5113222002112210422
62101334004054212
7133565410631114
oct16700110351000
93551470485158
101022221210112
11364581250a53
12146143994368
1375519bbcc8b
143769372b744
151b8cc4dd842
hexee0121d200

1022221210112 has 80 divisors (see below), whose sum is σ = 2053835688960. Its totient is φ = 508267548672.

The previous prime is 1022221210069. The next prime is 1022221210187. The reversal of 1022221210112 is 2110121222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77534273 + ... + 77547455.

It is an arithmetic number, because the mean of its divisors is an integer number (25672946112).

Almost surely, 21022221210112 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 1022221210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026917844480).

1022221210112 is an abundant number, since it is smaller than the sum of its proper divisors (1031614478848).

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

1022221210112 is an equidigital number, since it uses as much as digits as its factorization.

1022221210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1022221210112 its reverse (2110121222201), we get a palindrome (3132342432313).

The spelling of 1022221210112 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 269 512 538 563 1076 1126 2152 2252 4304 4504 8608 9008 13183 17216 18016 26366 34432 36032 52732 68864 72064 105464 137728 144128 151447 210928 288256 302894 421856 605788 843712 1211576 1687424 2423152 3374848 3546227 4846304 6749696 7092454 7422029 9692608 14184908 14844058 19385216 28369816 29688116 38770432 56739632 59376232 77540864 113479264 118752464 226958528 237504928 453917056 475009856 907834112 950019712 1815668224 1900039424 1996525801 3800078848 3993051602 7986103204 15972206408 31944412816 63888825632 127777651264 255555302528 511110605056 1022221210112