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1022020111021 = 713194171251809
BaseRepresentation
bin11101101111101010010…
…01010100101010101101
310121201000100010222002111
432313311021110222231
5113221044122023041
62101302021524021
7133560416415310
oct16676511245255
93551010128074
101022020111021
11364488788258
121460a8573611
13754b733c630
1437674b40977
151b8b9a18981
hexedf5254aad

1022020111021 has 128 divisors (see below), whose sum is σ = 1382659891200. Its totient is φ = 733017600000.

The previous prime is 1022020110973. The next prime is 1022020111027. The reversal of 1022020111021 is 1201110202201.

It is not a de Polignac number, because 1022020111021 - 235 = 987660372653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1022020110992 and 1022020111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022020111027) 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 127 ways as a sum of consecutive naturals, for example, 1263312465 + ... + 1263313273.

It is an arithmetic number, because the mean of its divisors is an integer number (10802030400).

Almost surely, 21022020111021 is an apocalyptic number.

It is an amenable number.

1022020111021 is a deficient number, since it is larger than the sum of its proper divisors (360639780179).

1022020111021 is a wasteful number, since it uses less digits than its factorization.

1022020111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022020111021 its reverse (1201110202201), we get a palindrome (2223130313222).

The spelling of 1022020111021 in words is "one trillion, twenty-two billion, twenty million, one hundred eleven thousand, twenty-one".

Divisors: 1 7 13 19 41 71 91 133 247 251 287 497 533 779 809 923 1349 1729 1757 2911 3263 3731 4769 5453 5663 6461 9443 10127 10291 10517 15371 17537 17821 20377 22841 33169 33383 37843 55309 57439 61997 70889 72037 73619 107597 122759 124747 133783 195529 199823 203059 231673 232183 264901 338599 387163 402073 431197 433979 630211 719017 730661 746707 936481 1091341 1368703 1398761 1421413 1621711 2354999 2370193 2541877 2639767 3018379 3858121 4401787 4411477 5033119 5114627 5226949 7639387 8192743 8325419 9498593 13882559 14187433 14417189 16484993 17793139 18478369 27006847 30614987 30812509 44744981 50155573 57349201 58277933 66490151 97177913 99312031 100920323 108230447 158182961 180473267 187423457 214304909 273926591 313214867 351089011 581684753 591104749 757613129 1107280727 1263312869 1311964199 1917486137 2056378493 3561045683 4071793271 4137733243 7684361737 11230990231 14394649451 24927319781 53790532159 78616931617 146002873003 1022020111021