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1221022022022 = 2321131824324133
BaseRepresentation
bin10001110001001010100…
…101010111100110000110
311022201200010100110212200
4101301022211113212012
5130001123114201042
62332532455255330
7154134030640665
oct21611245274606
94281603313780
101221022022022
11430918110410
1217878597a546
138b1ac9403aa
1443152450ddc
1521b65537c4c
hex11c4a957986

1221022022022 has 96 divisors (see below), whose sum is σ = 2979635383296. Its totient is φ = 358012699200.

The previous prime is 1221022021949. The next prime is 1221022022029. The reversal of 1221022022022 is 2202202201221.

1221022022022 is a `hidden beast` number, since 1 + 221 + 0 + 220 + 220 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221022021986 and 1221022022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221022022029) 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 47 ways as a sum of consecutive naturals, for example, 50583468 + ... + 50607600.

It is an arithmetic number, because the mean of its divisors is an integer number (31037868576).

Almost surely, 21221022022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221022022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489817691648).

1221022022022 is an abundant number, since it is smaller than the sum of its proper divisors (1758613361274).

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

1221022022022 is a wasteful number, since it uses less digits than its factorization.

1221022022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32426 (or 32423 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1221022022022 its reverse (2202202201221), we get a palindrome (3423224223243).

The spelling of 1221022022022 in words is "one trillion, two hundred twenty-one billion, twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 8243 16486 24133 24729 48266 49458 72399 74187 90673 144798 148374 181346 217197 255533 265463 272019 434394 511066 530926 544038 748123 766599 796389 816057 1496246 1533198 1592778 1632114 2244369 2299797 2389167 2810863 4488738 4599594 4778334 5621726 6733107 8229353 8432589 13466214 16458706 16865178 24688059 25297767 49376118 50595534 74064177 148128354 198928319 397856638 596784957 1193569914 1790354871 2188211509 3580709742 4376423018 6166777889 6564634527 12333555778 13129269054 18500333667 19693903581 37000667334 39387807162 55501001001 67834556779 111002002002 135669113558 203503670337 407007340674 610511011011 1221022022022