Search a number
-
+
2120100020001 = 341933816019
BaseRepresentation
bin11110110110011111110…
…011101111111100100001
321111200100102020000010000
4132312133303233330201
5234213431101120001
64301543245130213
7306113024554665
oct36663763577441
97450312200100
102120100020001
11748147210467
122a2a81259969
13124c0339b372
14748831d08a5
153a236b3da86
hex1ed9fceff21

2120100020001 has 40 divisors (see below), whose sum is σ = 3342986160800. Its totient is φ = 1339010188056.

The previous prime is 2120100019981. The next prime is 2120100020023. The reversal of 2120100020001 is 1000200010212.

It is not a de Polignac number, because 2120100020001 - 29 = 2120100019489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2120100020081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1352431 + ... + 2463588.

It is an arithmetic number, because the mean of its divisors is an integer number (83574654020).

Almost surely, 22120100020001 is an apocalyptic number.

It is an amenable number.

2120100020001 is a deficient number, since it is larger than the sum of its proper divisors (1222886140799).

2120100020001 is an frugal number, since it uses more digits than its factorization.

2120100020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816088 (or 3816041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120100020001 its reverse (1000200010212), we get a palindrome (3120300030213).

The spelling of 2120100020001 in words is "two trillion, one hundred twenty billion, one hundred million, twenty thousand, one".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 3249 6859 9747 20577 29241 61731 185193 555579 3816019 11448057 34344171 72504361 103032513 217513083 309097539 652539249 1377582859 1957617747 4132748577 5872853241 12398245731 26174074321 37194737193 78522222963 111584211579 235566668889 706700006667 2120100020001