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202200212201020 = 2251129101313790329
BaseRepresentation
bin101101111110011001100111…
…110100100101111000111100
3222111221011002110001112002221
4231332121213310211320330
5203000322013310413040
61554013254540455124
760406324516411465
oct5576314764457074
9874834073045087
10202200212201020
11594776a0491080
121a817909b4a4a4
1388a9523aac047
1437d0784831d6c
151859a58e5a74a
hexb7e667d25e3c

202200212201020 has 96 divisors (see below), whose sum is σ = 483939998539200. Its totient is φ = 70289033472000.

The previous prime is 202200212200981. The next prime is 202200212201081. The reversal of 202200212201020 is 20102212002202.

It is a junction number, because it is equal to n+sod(n) for n = 202200212200985 and 202200212201003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156250785 + ... + 157539544.

It is an arithmetic number, because the mean of its divisors is an integer number (5041041651450).

Almost surely, 2202200212201020 is an apocalyptic number.

202200212201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200212201020 is an abundant number, since it is smaller than the sum of its proper divisors (281739786338180).

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

202200212201020 is a wasteful number, since it uses less digits than its factorization.

202200212201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313790479 (or 313790477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202200212201020 its reverse (20102212002202), we get a palindrome (222302424203222).

The spelling of 202200212201020 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2222 2929 3190 4444 5555 5858 6380 11110 11716 14645 22220 29290 32219 58580 64438 128876 161095 322190 644380 313790329 627580658 1255161316 1568951645 3137903290 3451693619 6275806580 6903387238 9099919541 13806774476 17258468095 18199839082 31692823229 34516936190 36399678164 45499597705 63385646458 69033872380 90999195410 100099114951 126771292916 158464116145 181998390820 200198229902 316928232290 348621055519 400396459804 500495574755 633856464580 697242111038 919091873641 1000991149510 1394484222076 1743105277595 1838183747282 2001982299020 3486210555190 3676367494564 4595459368205 6972421110380 9190918736410 10110010610051 18381837472820 20220021220102 40440042440204 50550053050255 101100106100510 202200212201020