Search a number
-
+
201022002120120 = 23357322947717137
BaseRepresentation
bin101101101101010000010101…
…000001110100010110111000
3222100202111220221220222210020
4231231100111001310112320
5202322021030020320440
61551312122145450440
760225234416102406
oct5555202501642670
9870674827828706
10201022002120120
1159062a52622795
121a6674b1940a20
1388223a796c6bc
14378d734200476
15183909c2023d0
hexb6d4150745b8

201022002120120 has 64 divisors (see below), whose sum is σ = 611327184556320. Its totient is φ = 52871540281344.

The previous prime is 201022002120083. The next prime is 201022002120133. The reversal of 201022002120120 is 21021200220102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201022002120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11473849809 + ... + 11473867328.

Almost surely, 2201022002120120 is an apocalyptic number.

201022002120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022002120120 is an abundant number, since it is smaller than the sum of its proper divisors (410305182436200).

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

201022002120120 is a wasteful number, since it uses less digits than its factorization.

201022002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22947717224 (or 22947717220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201022002120120 its reverse (21021200220102), we get a palindrome (222043202340222).

The spelling of 201022002120120 in words is "two hundred one trillion, twenty-two billion, two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 22947717137 45895434274 68843151411 91790868548 114738585685 137686302822 183581737096 229477171370 275372605644 344215757055 458954342740 550745211288 688431514110 917908685480 1376863028220 1675183351001 2753726056440 3350366702002 5025550053003 6700733404004 8375916755005 10051100106006 13401466808008 16751833510010 20102200212012 25127750265015 33503667020020 40204400424024 50255500530030 67007334040040 100511001060060 201022002120120