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1021122201020 = 225292198730553
BaseRepresentation
bin11101101101111111010…
…00000100010110111100
310121121200202120102010112
432312333220010112330
5113212224240413040
62101032544325152
7133526234333015
oct16667750042674
93547622512115
101021122201020
11364067953179
12145a979137b8
13753a32c833c
14375cb7aa00c
151b865ca1365
hexedbfa045bc

1021122201020 has 72 divisors (see below), whose sum is σ = 2222040138864. Its totient is φ = 394153062912.

The previous prime is 1021122201007. The next prime is 1021122201023. The reversal of 1021122201020 is 201022211201.

It is a junction number, because it is equal to n+sod(n) for n = 1021122200986 and 1021122201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021122201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33406064 + ... + 33436616.

Almost surely, 21021122201020 is an apocalyptic number.

1021122201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021122201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111020069432).

1021122201020 is an abundant number, since it is smaller than the sum of its proper divisors (1200917937844).

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

1021122201020 is a wasteful number, since it uses less digits than its factorization.

1021122201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32607 (or 32576 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021122201020 its reverse (201022211201), we get a palindrome (1222144412221).

The spelling of 1021122201020 in words is "one trillion, twenty-one billion, one hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 1987 3364 3974 4205 7948 8410 9935 16820 19870 30553 39740 57623 61106 115246 122212 152765 230492 288115 305530 576230 611060 886037 1152460 1671067 1772074 3342134 3544148 4430185 6684268 8355335 8860370 16710670 17720740 25695073 33421340 51390146 60708811 102780292 121417622 128475365 242835244 256950730 303544055 513901460 607088110 1214176220 1760555519 3521111038 7042222076 8802777595 17605555190 35211110380 51056110051 102112220102 204224440204 255280550255 510561100510 1021122201020