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201302120102100 = 223521729733879259
BaseRepresentation
bin101101110001010101001101…
…010111000111100011010100
3222101202021221212022212010120
4231301111031113013203110
5202341113220221231400
61552044530050151540
760254412123465663
oct5561251527074324
9871667855285116
10201302120102100
1159160827953636
121a6b18488825b0
138842929691bb4
14379d1089acdda
1518414e419cca0
hexb7154d5c78d4

201302120102100 has 72 divisors (see below), whose sum is σ = 582437651500320. Its totient is φ = 53680241182080.

The previous prime is 201302120102087. The next prime is 201302120102107. The reversal of 201302120102100 is 1201021203102.

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 201302120102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201302120102107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49952271 + ... + 53831529.

Almost surely, 2201302120102100 is an apocalyptic number.

201302120102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201302120102100 is an abundant number, since it is smaller than the sum of its proper divisors (381135531398220).

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

201302120102100 is a wasteful number, since it uses less digits than its factorization.

201302120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052249 (or 4052242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201302120102100 its reverse (1201021203102), we get a palindrome (202503141305202).

The spelling of 201302120102100 in words is "two hundred one trillion, three hundred two billion, one hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 172973 345946 518919 691892 864865 1037838 1729730 2075676 2594595 3459460 3879259 4324325 5189190 7758518 8648650 10378380 11637777 12972975 15517036 17297300 19396295 23275554 25945950 38792590 46551108 51891900 58188885 77585180 96981475 116377770 193962950 232755540 290944425 387925900 581888850 1163777700 671007067007 1342014134014 2013021201021 2684028268028 3355035335035 4026042402042 6710070670070 8052084804084 10065106005105 13420141340140 16775176675175 20130212010210 33550353350350 40260424020420 50325530025525 67100706700700 100651060051050 201302120102100