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1020222202122 = 2331011271472909
BaseRepresentation
bin11101101100010011111…
…10110110000100001010
310121112101001001201202000
432312021332312010022
5113203403340431442
62100403354251430
7133465025430354
oct16661176660412
93545331051660
101020222202122
11363745921732
12145886426b76
137528ba02306
14375440500d4
151b811c74d4c
hexed89fb610a

1020222202122 has 64 divisors (see below), whose sum is σ = 2307637555200. Its totient is φ = 334055534400.

The previous prime is 1020222202093. The next prime is 1020222202141. The reversal of 1020222202122 is 2212022220201.

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 = 1020222202095 and 1020222202104.

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, 43797 + ... + 1429112.

It is an arithmetic number, because the mean of its divisors is an integer number (36056836800).

Almost surely, 21020222202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020222202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153818777600).

1020222202122 is an abundant number, since it is smaller than the sum of its proper divisors (1287415353078).

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

1020222202122 is a wasteful number, since it uses less digits than its factorization.

1020222202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473148 (or 1473142 counting only the distinct ones).

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

Adding to 1020222202122 its reverse (2212022220201), we get a palindrome (3232244422323).

The spelling of 1020222202122 in words is "one trillion, twenty billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 127 202 254 303 381 606 762 909 1143 1818 2286 2727 3429 5454 6858 12827 25654 38481 76962 115443 230886 346329 692658 1472909 2945818 4418727 8837454 13256181 26512362 39768543 79537086 148763809 187059443 297527618 374118886 446291427 561178329 892582854 1122356658 1338874281 1683534987 2677748562 3367069974 4016622843 5050604961 8033245686 10101209922 18893003743 37786007486 56679011229 113358022458 170037033687 340074067374 510111101061 1020222202122