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22034100120 = 23351971913441
BaseRepresentation
bin10100100001010101…
…011010111110011000
32002212121001021001020
4110201111122332120
5330111212200440
614042231122440
71410011521644
oct244125327630
962777037036
1022034100120
1193877475aa
12432b213420
132101c31286
1410d04d9c24
1588e6173d0
hex52155af98

22034100120 has 128 divisors (see below), whose sum is σ = 69683328000. Its totient is φ = 5558353920.

The previous prime is 22034100097. The next prime is 22034100149. The reversal of 22034100120 is 2100143022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22034100120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1632600 + ... + 1646040.

It is an arithmetic number, because the mean of its divisors is an integer number (544401000).

Almost surely, 222034100120 is an apocalyptic number.

22034100120 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 22034100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34841664000).

22034100120 is an abundant number, since it is smaller than the sum of its proper divisors (47649227880).

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

22034100120 is a wasteful number, since it uses less digits than its factorization.

22034100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22034100120 its reverse (2100143022), we get a palindrome (24134243142).

The spelling of 22034100120 in words is "twenty-two billion, thirty-four million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 719 760 1140 1438 2157 2280 2876 3595 4314 5752 7190 8628 10785 13441 13661 14380 17256 21570 26882 27322 28760 40323 40983 43140 53764 54644 67205 68305 80646 81966 86280 107528 109288 134410 136610 161292 163932 201615 204915 255379 268820 273220 322584 327864 403230 409830 510758 537640 546440 766137 806460 819660 1021516 1276895 1532274 1612920 1639320 2043032 2553790 3064548 3830685 5107580 6129096 7661370 9664079 10215160 15322740 19328158 28992237 30645480 38656316 48320395 57984474 77312632 96640790 115968948 144961185 183617501 193281580 231937896 289922370 367235002 386563160 550852503 579844740 734470004 918087505 1101705006 1159689480 1468940008 1836175010 2203410012 2754262515 3672350020 4406820024 5508525030 7344700040 11017050060 22034100120