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202020122000100 = 223523780207226913
BaseRepresentation
bin101101111011110001111001…
…100110111111101011100100
3222111021221020122120102110110
4231323301321212333223210
5202434344202213000400
61553354432434453020
760360320644101105
oct5573617146775344
9874257218512413
10202020122000100
1159408286240688
121a7a8a2a134170
138895553575291
1437c5b7ca763ac
151855018885e50
hexb7bc799bfae4

202020122000100 has 144 divisors (see below), whose sum is σ = 600319292606208. Its totient is φ = 52415147151360.

The previous prime is 202020122000027. The next prime is 202020122000119. The reversal of 202020122000100 is 1000221020202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890184244 + ... + 890411156.

It is an arithmetic number, because the mean of its divisors is an integer number (4168883976432).

Almost surely, 2202020122000100 is an apocalyptic number.

202020122000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020122000100 is an abundant number, since it is smaller than the sum of its proper divisors (398299170606108).

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

202020122000100 is a wasteful number, since it uses less digits than its factorization.

202020122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307174 (or 307167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202020122000100 its reverse (1000221020202), we get a palindrome (203020343020302).

The spelling of 202020122000100 in words is "two hundred two trillion, twenty billion, one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 80207 160414 226913 240621 320828 401035 453826 481242 680739 802070 907652 962484 1134565 1203105 1361478 1604140 2005175 2269130 2406210 2722956 2967659 3403695 4010350 4538260 4812420 5672825 5935318 6015525 6807390 8020700 8395781 8902977 11345650 11870636 12031050 13614780 14838295 16791562 17018475 17805954 22691300 24062100 25187343 29676590 33583124 34036950 35611908 41978905 44514885 50374686 59353180 68073900 74191475 83957810 89029770 100749372 125936715 148382950 167915620 178059540 209894525 222574425 251873430 296765900 419789050 445148850 503746860 629683575 839578100 890297700 1259367150 2518734300 18200010991 36400021982 54600032973 72800043964 91000054955 109200065946 182000109910 218400131892 273000164865 364000219820 455000274775 546000329730 673400406667 910000549550 1092000659460 1346800813334 1365000824325 1820001099100 2020201220001 2693601626668 2730001648650 3367002033335 4040402440002 5460003297300 6734004066670 8080804880004 10101006100005 13468008133340 16835010166675 20202012200010 33670020333350 40404024400020 50505030500025 67340040666700 101010061000050 202020122000100