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202122002021100 = 22352796248572391
BaseRepresentation
bin101101111101010000110010…
…001000011011101011101100
3222111122200012211210201200120
4231331100302020123223230
5202443031330004133400
61553513322121124540
760400555430015310
oct5575206210335354
9874580184721616
10202122002021100
1159447506916347
121a804721629750
1388a203b711885
1437caa8567db40
1518579ccb83ca0
hexb7d43221baec

202122002021100 has 72 divisors (see below), whose sum is σ = 668350086690048. Its totient is φ = 46199314747200.

The previous prime is 202122002021077. The next prime is 202122002021113. The reversal of 202122002021100 is 1120200221202.

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 202122002021100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48124284096 + ... + 48124288295.

Almost surely, 2202122002021100 is an apocalyptic number.

202122002021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122002021100 is an abundant number, since it is smaller than the sum of its proper divisors (466228084668948).

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

202122002021100 is a wasteful number, since it uses less digits than its factorization.

202122002021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96248572415 (or 96248572408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202122002021100 its reverse (1120200221202), we get a palindrome (203242202242302).

The spelling of 202122002021100 in words is "two hundred two trillion, one hundred twenty-two billion, two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 96248572391 192497144782 288745717173 384994289564 481242861955 577491434346 673740006737 962485723910 1154982868692 1347480013474 1443728585865 1924971447820 2021220020211 2406214309775 2694960026948 2887457171730 3368700033685 4042440040422 4812428619550 5774914343460 6737400067370 7218642929325 8084880080844 9624857239100 10106100101055 13474800134740 14437285858650 16843500168425 20212200202110 28874571717300 33687000336850 40424400404220 50530500505275 67374000673700 101061001010550 202122002021100