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1020222200322 = 2321347781711867
BaseRepresentation
bin11101101100010011111…
…10110101101000000010
310121112101001001122021100
432312021332311220002
5113203403340402242
62100403354235230
7133465025422203
oct16661176655002
93545331048240
101020222200322
11363745920346
12145886425b16
137528ba01550
143754404d5aa
151b811c7454c
hexed89fb5a02

1020222200322 has 96 divisors (see below), whose sum is σ = 2431683700992. Its totient is φ = 307170300672.

The previous prime is 1020222200303. The next prime is 1020222200419. The reversal of 1020222200322 is 2230022220201.

1020222200322 is a `hidden beast` number, since 102 + 0 + 22 + 220 + 0 + 322 = 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 = 1020222200295 and 1020222200304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85965433 + ... + 85977299.

It is an arithmetic number, because the mean of its divisors is an integer number (25330038552).

Almost surely, 21020222200322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020222200322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215841850496).

1020222200322 is an abundant number, since it is smaller than the sum of its proper divisors (1411461500670).

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

1020222200322 is a wasteful number, since it uses less digits than its factorization.

1020222200322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752 (or 19749 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1020222200322 its reverse (2230022220201), we get a palindrome (3250244420523).

The spelling of 1020222200322 in words is "one trillion, twenty billion, two hundred twenty-two million, two hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 3666 5499 7817 10998 11867 15634 23451 23734 35601 46902 70353 71202 101621 106803 140706 154271 203242 213606 304863 308542 367399 462813 557749 609726 734798 914589 925626 1102197 1115498 1388439 1673247 1829178 2204394 2776878 3306591 3346494 4776187 5019741 6613182 7250737 9552374 10039482 14328561 14501474 21752211 28657122 42985683 43504422 65256633 85971366 92764339 130513266 185528678 278293017 556586034 834879051 1205936407 1669758102 2411872814 3617809221 4359923933 7235618442 8719847866 10853427663 13079771799 21706855326 26159543598 39239315397 56679011129 78478630794 113358022258 170037033387 340074066774 510111100161 1020222200322