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22010211100 = 22521722333113
BaseRepresentation
bin10100011111111010…
…010010101100011100
32002210221002120110201
4110133322102230130
5330034103223400
614040015113244
71406301464443
oct243772225434
962727076421
1022010211100
119375210409
124323212824
1320c9cb8967
1410cb27bd5a
1588c49906a
hex51fe92b1c

22010211100 has 108 divisors (see below), whose sum is σ = 52944517584. Its totient is φ = 7925688320.

The previous prime is 22010211043. The next prime is 22010211101. The reversal of 22010211100 is 111201022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648144 + ... + 681256.

Almost surely, 222010211100 is an apocalyptic number.

22010211100 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 22010211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472258792).

22010211100 is an abundant number, since it is smaller than the sum of its proper divisors (30934306484).

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

22010211100 is a wasteful number, since it uses less digits than its factorization.

22010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33184 (or 33160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22010211100 its reverse (111201022), we get a palindrome (22121412122).

The spelling of 22010211100 in words is "twenty-two billion, ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 289 340 391 425 460 575 578 782 850 1150 1156 1445 1564 1700 1955 2300 2890 3910 5780 6647 7225 7820 9775 13294 14450 19550 26588 28900 33113 33235 39100 66226 66470 132452 132940 165565 166175 331130 332350 562921 662260 664700 761599 827825 1125842 1523198 1655650 2251684 2814605 3046396 3311300 3807995 5629210 7615990 9569657 11258420 12947183 14073025 15231980 19039975 19139314 25894366 28146050 38079950 38278628 47848285 51788732 56292100 64735915 76159900 95696570 129471830 191393140 220102111 239241425 258943660 323679575 440204222 478482850 647359150 880408444 956965700 1100510555 1294718300 2201021110 4402042220 5502552775 11005105550 22010211100