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20210121220100 = 22527671014266529
BaseRepresentation
bin1001001100001100010010…
…00110001010000000000100
32122120001212002121102222212
410212012021012022000010
510122110312013020400
6110552222421042552
74154063433643130
oct446061106120004
978501762542885
1020210121220100
116492078608749
122324a34856458
13b37a63453736
144dc2646183c0
15250aa1b60335
hex12618918a004

20210121220100 has 144 divisors (see below), whose sum is σ = 51372844010880. Its totient is φ = 6758180352000.

The previous prime is 20210121220049. The next prime is 20210121220129. The reversal of 20210121220100 is 102212101202.

It is a super-2 number, since 2×202101212201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603636 + ... + 6870164.

Almost surely, 220210121220100 is an apocalyptic number.

20210121220100 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 20210121220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686422005440).

20210121220100 is an abundant number, since it is smaller than the sum of its proper divisors (31162722790780).

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

20210121220100 is a wasteful number, since it uses less digits than its factorization.

20210121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266718 (or 4266711 counting only the distinct ones).

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

Adding to 20210121220100 its reverse (102212101202), we get a palindrome (20312333321302).

The spelling of 20210121220100 in words is "twenty trillion, two hundred ten billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 101 134 140 175 202 268 335 350 404 469 505 670 700 707 938 1010 1340 1414 1675 1876 2020 2345 2525 2828 3350 3535 4690 5050 6700 6767 7070 9380 10100 11725 13534 14140 17675 23450 27068 33835 35350 46900 47369 67670 70700 94738 135340 169175 189476 236845 338350 473690 676700 947380 1184225 2368450 4266529 4736900 8533058 17066116 21332645 29865703 42665290 59731406 85330580 106663225 119462812 149328515 213326450 285857443 298657030 426652900 430919429 571714886 597314060 746642575 861838858 1143429772 1429287215 1493285150 1723677716 2001002101 2154597145 2858574430 2986570300 3016436003 4002004202 4309194290 5717148860 6032872006 7146436075 8004008404 8618388580 10005010505 10772985725 12065744012 14292872150 15082180015 20010021010 21545971450 28585744300 28871601743 30164360030 40020042020 43091942900 50025052525 57743203486 60328720060 75410900075 100050105050 115486406972 144358008715 150821800150 200100210100 202101212201 288716017430 301643600300 404202424402 577432034860 721790043575 808404848804 1010506061005 1443580087150 2021012122010 2887160174300 4042024244020 5052530305025 10105060610050 20210121220100