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201101050101020 = 225311811792025041
BaseRepresentation
bin101101101110011001111100…
…101001111011110100011100
3222101001001221221122111002112
4231232121330221323310130
5202324314422311213040
61551412314054213152
760234033330621206
oct5556317451736434
9871031857574075
10201101050101020
11590935270a7823
121a67a8929541b8
1388299947966b4
1437934b275b776
15183b176d1b365
hexb6e67ca7bd1c

201101050101020 has 48 divisors (see below), whose sum is σ = 438343661473536. Its totient is φ = 77415481728000.

The previous prime is 201101050101013. The next prime is 201101050101053. The reversal of 201101050101020 is 20101050101102.

It is a junction number, because it is equal to n+sod(n) for n = 201101050100986 and 201101050101004.

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 15 ways as a sum of consecutive naturals, for example, 895900301 + ... + 896124740.

It is an arithmetic number, because the mean of its divisors is an integer number (9132159614032).

Almost surely, 2201101050101020 is an apocalyptic number.

201101050101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101050101020 is an abundant number, since it is smaller than the sum of its proper divisors (237242611372516).

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

201101050101020 is a wasteful number, since it uses less digits than its factorization.

201101050101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792025262 (or 1792025260 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The spelling of 201101050101020 in words is "two hundred one trillion, one hundred one billion, fifty million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 181 310 362 620 724 905 1810 3620 5611 11222 22444 28055 56110 112220 1792025041 3584050082 7168100164 8960125205 17920250410 35840500820 55552776271 111105552542 222211105084 277763881355 324356532421 555527762710 648713064842 1111055525420 1297426129684 1621782662105 3243565324210 6487130648420 10055052505051 20110105010102 40220210020204 50275262525255 100550525050510 201101050101020