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202001120101220 = 2251142110529207139
BaseRepresentation
bin101101111011100000001101…
…000000100000001101100100
3222111020010012101010221112212
4231323200031000200031210
5202434041243221214340
61553342011122102552
760356046031446026
oct5573401500401544
9874203171127485
10202001120101220
1159400215158820
121a7a52064aaa58
1388938158c142b
1437c4c99166016
1518547a5573a65
hexb7b80d020364

202001120101220 has 96 divisors (see below), whose sum is σ = 463911705129600. Its totient is φ = 73273161830400.

The previous prime is 202001120101217. The next prime is 202001120101223. The reversal of 202001120101220 is 22101021100202.

It is an interprime number because it is at equal distance from previous prime (202001120101217) and next prime (202001120101223).

It is a junction number, because it is equal to n+sod(n) for n = 202001120101195 and 202001120101204.

It is not an unprimeable number, because it can be changed into a prime (202001120101223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 975092411 + ... + 975299549.

It is an arithmetic number, because the mean of its divisors is an integer number (4832413595100).

Almost surely, 2202001120101220 is an apocalyptic number.

202001120101220 is a gapful number since it is divisible by the number (20) 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 202001120101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231955852564800).

202001120101220 is an abundant number, since it is smaller than the sum of its proper divisors (261910585028380).

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

202001120101220 is a wasteful number, since it uses less digits than its factorization.

202001120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218109 (or 218107 counting only the distinct ones).

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

Adding to 202001120101220 its reverse (22101021100202), we get a palindrome (224102141201422).

The spelling of 202001120101220 in words is "two hundred two trillion, one billion, one hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 4210 4631 8420 9262 10529 18524 21058 23155 42116 46310 52645 92620 105290 115819 207139 210580 231638 414278 463276 579095 828556 1035695 1158190 2071390 2278529 2316380 4142780 4432709 4557058 8865418 9114116 11392645 17730836 22163545 22785290 44327090 45570580 48759799 87205519 88654180 97519598 174411038 195039196 243798995 348822076 436027595 487597990 872055190 959260709 975195980 1744110380 1918521418 2180966531 3837042836 4361933062 4796303545 8723866124 9592607090 10904832655 19185214180 21809665310 23990631841 43619330620 47981263682 95962527364 119953159205 239906318410 479812636820 918186909551 1836373819102 3672747638204 4590934547755 9181869095510 10100056005061 18363738191020 20200112010122 40400224020244 50500280025305 101000560050610 202001120101220