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22010101020 = 22325832416113
BaseRepresentation
bin10100011111111001…
…110111110100011100
32002210220212222110200
4110133321313310130
5330034041213040
614040012503500
71406300525505
oct243771676434
962726788420
1022010101020
119375145736
12432317ab90
1320c9c7a81b
1410cb24dbac
1588c476630
hex51fe77d1c

22010101020 has 144 divisors (see below), whose sum is σ = 67859824032. Its totient is φ = 5773639680.

The previous prime is 22010101007. The next prime is 22010101031. The reversal of 22010101020 is 2010101022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22010100993 and 22010101011.

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, 3597484 + ... + 3603596.

It is an arithmetic number, because the mean of its divisors is an integer number (471248778).

Almost surely, 222010101020 is an apocalyptic number.

22010101020 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 22010101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929912016).

22010101020 is an abundant number, since it is smaller than the sum of its proper divisors (45849723012).

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

22010101020 is a wasteful number, since it uses less digits than its factorization.

22010101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22010101020 its reverse (2010101022), we get a palindrome (24020202042).

The spelling of 22010101020 in words is "twenty-two billion, ten million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 241 249 332 415 482 498 723 747 830 964 996 1205 1245 1446 1494 1660 2169 2410 2490 2892 2988 3615 3735 4338 4820 4980 6113 7230 7470 8676 10845 12226 14460 14940 18339 20003 21690 24452 30565 36678 40006 43380 55017 60009 61130 73356 80012 91695 100015 110034 120018 122260 180027 183390 200030 220068 240036 275085 300045 360054 366780 400060 507379 550170 600090 720108 900135 1014758 1100340 1200180 1473233 1522137 1800270 2029516 2536895 2946466 3044274 3600540 4419699 4566411 5073790 5892932 6088548 7366165 7610685 8839398 9132822 10147580 13259097 14732330 15221370 17678796 18265644 22098495 22832055 26518194 29464660 30442740 44196990 45664110 53036388 66295485 88393980 91328220 122278339 132590970 244556678 265181940 366835017 489113356 611391695 733670034 1100505051 1222783390 1467340068 1834175085 2201010102 2445566780 3668350170 4402020204 5502525255 7336700340 11005050510 22010101020