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112220202101000 = 2353719318302153
BaseRepresentation
bin11001100001000001001101…
…010010000110100100001000
3112201100010221211111101021112
4121201001031102012210020
5104202103433214213000
61034401125452025452
732431433136143360
oct3141011522064410
9481303854441245
10112220202101000
1132836358569714
121070503a762288
134a80420370cc6
141d9d6b59659a0
15ce9189502235
hex66104d486908

112220202101000 has 128 divisors (see below), whose sum is σ = 300264335804160. Its totient is φ = 38455568064000.

The previous prime is 112220202100999. The next prime is 112220202101017. The reversal of 112220202101000 is 101202022211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9365924 + ... + 17668076.

It is an arithmetic number, because the mean of its divisors is an integer number (2345815123470).

Almost surely, 2112220202101000 is an apocalyptic number.

112220202101000 is a gapful number since it is divisible by the number (10) 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 112220202101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150132167902080).

112220202101000 is an abundant number, since it is smaller than the sum of its proper divisors (188044133703160).

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

112220202101000 is a wasteful number, since it uses less digits than its factorization.

112220202101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304112 (or 8304098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112220202101000 its reverse (101202022211), we get a palindrome (112321404123211).

The spelling of 112220202101000 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred two million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1931 3500 3862 7000 7724 9655 13517 15448 19310 27034 38620 48275 54068 67585 77240 96550 108136 135170 193100 241375 270340 337925 386200 482750 540680 675850 965500 1351700 1689625 1931000 2703400 3379250 6758500 8302153 13517000 16604306 33208612 41510765 58115071 66417224 83021530 116230142 166043060 207553825 232460284 290575355 332086120 415107650 464920568 581150710 830215300 1037769125 1162301420 1452876775 1660430600 2075538250 2324602840 2905753550 4151076500 5811507100 7264383875 8302153000 11623014200 14528767750 16031457443 29057535500 32062914886 58115071000 64125829772 80157287215 112220202101 128251659544 160314574430 224440404202 320629148860 400786436075 448880808404 561101010505 641258297720 801572872150 897761616808 1122202021010 1603145744300 2003932180375 2244404042020 2805505052525 3206291488600 4007864360750 4488808084040 5611010105050 8015728721500 11222020210100 14027525262625 16031457443000 22444040420200 28055050525250 56110101050500 112220202101000