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201002020101220 = 225131363975667901
BaseRepresentation
bin101101101100111101101110…
…000000011101110001100100
3222100200121100101020020222011
4231230331232000131301210
5202321204114121214340
61551255015301444004
760223626302535502
oct5554755600356144
9870617311206864
10201002020101220
1159055529265188
121a663655a10604
138820541c1c290
14378c79a479672
1518387ccd390ea
hexb6cf6e01dc64

201002020101220 has 48 divisors (see below), whose sum is σ = 454577212233648. Its totient is φ = 74215573286400.

The previous prime is 201002020101133. The next prime is 201002020101221. The reversal of 201002020101220 is 22101020200102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27085217287716 + 173916802813504 = 5204346^2 + 13187752^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 201002020101220.

It is not an unprimeable number, because it can be changed into a prime (201002020101221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32629270 + ... + 38297170.

It is an arithmetic number, because the mean of its divisors is an integer number (9470358588201).

Almost surely, 2201002020101220 is an apocalyptic number.

201002020101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002020101220 is an abundant number, since it is smaller than the sum of its proper divisors (253575192132428).

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

201002020101220 is a wasteful number, since it uses less digits than its factorization.

201002020101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804320 (or 5804318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201002020101220 its reverse (22101020200102), we get a palindrome (223103040301322).

The spelling of 201002020101220 in words is "two hundred one trillion, two billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 136397 272794 545588 681985 1363970 1773161 2727940 3546322 5667901 7092644 8865805 11335802 17731610 22671604 28339505 35463220 56679010 73682713 113358020 147365426 294730852 368413565 736827130 1473654260 773084692697 1546169385394 3092338770788 3865423463485 7730846926970 10050101005061 15461693853940 20100202010122 40200404020244 50250505025305 100501010050610 201002020101220