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122010102200 = 23527531644341
BaseRepresentation
bin111000110100001011…
…1100110100110111000
3102122221002112101100002
41301220113212212320
53444334041232300
6132014535532132
711546344520450
oct1615027464670
9378832471302
10122010102200
1147820581708
121b790b2a048
13b67578a95c
145c962b0d60
1532916b15d5
hex1c685e69b8

122010102200 has 96 divisors (see below), whose sum is σ = 330315420960. Its totient is φ = 41042726400.

The previous prime is 122010102143. The next prime is 122010102223. The reversal of 122010102200 is 2201010221.

It is a happy number.

122010102200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 747971 + ... + 896370.

It is an arithmetic number, because the mean of its divisors is an integer number (3440785635).

Almost surely, 2122010102200 is an apocalyptic number.

122010102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010102200 is an abundant number, since it is smaller than the sum of its proper divisors (208305318760).

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

122010102200 is a wasteful number, since it uses less digits than its factorization.

122010102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644417 (or 1644408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122010102200 its reverse (2201010221), we get a palindrome (124211112421).

The spelling of 122010102200 in words is "one hundred twenty-two billion, ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 175 200 212 265 280 350 371 424 530 700 742 1060 1325 1400 1484 1855 2120 2650 2968 3710 5300 7420 9275 10600 14840 18550 37100 74200 1644341 3288682 6577364 8221705 11510387 13154728 16443410 23020774 32886820 41108525 46041548 57551935 65773640 82217050 87150073 92083096 115103870 164434100 174300146 230207740 287759675 328868200 348600292 435750365 460415480 575519350 610050511 697200584 871500730 1151038700 1220101022 1743001460 2178751825 2302077400 2440202044 3050252555 3486002920 4357503650 4880404088 6100505110 8715007300 12201010220 15251262775 17430014600 24402020440 30502525550 61005051100 122010102200