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22020020010100 = 22527101754741269
BaseRepresentation
bin1010000000110111011110…
…11110000111110001110100
32212222002112001111020120101
411000123233132013301310
510341234000110310400
6114455505121243444
74431615423554230
oct500335736076164
985862461436511
1022020020010100
11701a702264812
122577764193584
13c3962c40a918
14561abb9215c0
15282bd073356a
hex1406ef787c74

22020020010100 has 144 divisors (see below), whose sum is σ = 55158983349120. Its totient is φ = 7473799872000.

The previous prime is 22020020010067. The next prime is 22020020010151. The reversal of 22020020010100 is 101002002022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 533552266 + ... + 533593534.

It is an arithmetic number, because the mean of its divisors is an integer number (383048495480).

Almost surely, 222020020010100 is an apocalyptic number.

22020020010100 is a gapful number since it is divisible by the number (20) 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 22020020010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27579491674560).

22020020010100 is an abundant number, since it is smaller than the sum of its proper divisors (33138963339020).

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

22020020010100 is a wasteful number, since it uses less digits than its factorization.

22020020010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48938 (or 48931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22020020010100 its reverse (101002002022), we get a palindrome (22121022012122).

The spelling of 22020020010100 in words is "twenty-two trillion, twenty billion, twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 7547 10100 14140 15094 17675 30188 35350 37735 41269 52829 70700 75470 82538 105658 150940 165076 188675 206345 211316 264145 288883 377350 412690 528290 577766 754700 762247 825380 1031725 1056580 1155532 1320725 1444415 1524494 2063450 2641450 2888830 3048988 3811235 4126900 4168169 5282900 5335729 5777660 7222075 7622470 8336338 10671458 14444150 15244940 16672676 19056175 20840845 21342916 26678645 28888300 29177183 38112350 41681690 53357290 58354366 76224700 83363380 104204225 106714580 116708732 133393225 145885915 208408450 266786450 291771830 311457143 416816900 533572900 583543660 622914286 729429575 1245828572 1458859150 1557285715 2180200001 2917718300 3114571430 4360400002 6229142860 7786428575 8720800004 10901000005 15572857150 21802000010 31145714300 31457171443 43604000020 54505000025 62914342886 109010000050 125828685772 157285857215 218020000100 220200200101 314571714430 440400400202 629143428860 786429286075 880800800404 1101001000505 1572858572150 2202002001010 3145717144300 4404004002020 5505005002525 11010010005050 22020020010100