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21101220180 = 223251271516113
BaseRepresentation
bin10011101001101110…
…110001000101010100
32000110120200001100100
4103221232301011110
5321203403021210
613405504214100
71344623261235
oct235156610524
960416601310
1021101220180
118a490a8047
12410a90a330
131cb3894b01
14104266108c
158377935c0
hex4e9bb1154

21101220180 has 144 divisors (see below), whose sum is σ = 64948875264. Its totient is φ = 5544806400.

The previous prime is 21101220167. The next prime is 21101220181. The reversal of 21101220180 is 8102210112.

It is a super-2 number, since 2×211012201802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101220181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3448804 + ... + 3454916.

It is an arithmetic number, because the mean of its divisors is an integer number (451033856).

Almost surely, 221101220180 is an apocalyptic number.

21101220180 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 21101220180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474437632).

21101220180 is an abundant number, since it is smaller than the sum of its proper divisors (43847655084).

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

21101220180 is a wasteful number, since it uses less digits than its factorization.

21101220180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21101220180 its reverse (8102210112), we get a palindrome (29203430292).

The spelling of 21101220180 in words is "twenty-one billion, one hundred one million, two hundred twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 151 180 254 302 381 453 508 604 635 755 762 906 1143 1270 1359 1510 1524 1812 1905 2265 2286 2540 2718 3020 3810 4530 4572 5436 5715 6113 6795 7620 9060 11430 12226 13590 18339 19177 22860 24452 27180 30565 36678 38354 55017 57531 61130 73356 76708 91695 95885 110034 115062 122260 172593 183390 191770 220068 230124 275085 287655 345186 366780 383540 550170 575310 690372 776351 862965 923063 1100340 1150620 1552702 1725930 1846126 2329053 2769189 3105404 3451860 3692252 3881755 4615315 4658106 5538378 6987159 7763510 8307567 9230630 9316212 11076756 11645265 13845945 13974318 15527020 16615134 18461260 23290530 27691890 27948636 33230268 34935795 41537835 46581060 55383780 69871590 83075670 117229001 139743180 166151340 234458002 351687003 468916004 586145005 703374006 1055061009 1172290010 1406748012 1758435015 2110122018 2344580020 3516870030 4220244036 5275305045 7033740060 10550610090 21101220180