Search a number
-
+
2000001120201 = 33729409892169
BaseRepresentation
bin11101000110101001010…
…110110011011111001001
321002012100111221202121000
4131012221112303133021
5230232000241321301
64130442101005213
7264331615011660
oct35065126633711
97065314852530
102000001120201
11701217546477
122837443b3809
131167a3867206
146cb2caa1dd7
153705814e786
hex1d1a95b37c9

2000001120201 has 64 divisors (see below), whose sum is σ = 3511581120000. Its totient is φ = 1100749741056.

The previous prime is 2000001120197. The next prime is 2000001120217. The reversal of 2000001120201 is 1020211000002.

It is not a de Polignac number, because 2000001120201 - 22 = 2000001120197 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2000001120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1795645 + ... + 2687813.

It is an arithmetic number, because the mean of its divisors is an integer number (54868455000).

Almost surely, 22000001120201 is an apocalyptic number.

2000001120201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2000001120201 is a deficient number, since it is larger than the sum of its proper divisors (1511579999799).

2000001120201 is a wasteful number, since it uses less digits than its factorization.

2000001120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892623 (or 892617 counting only the distinct ones).

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

Adding to 2000001120201 its reverse (1020211000002), we get a palindrome (3020212120203).

It can be divided in two parts, 200000 and 1120201, that added together give a square (1320201 = 11492).

The spelling of 2000001120201 in words is "two trillion, one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 409 609 783 1227 1827 2863 3681 5481 8589 11043 11861 25767 35583 77301 83027 106749 249081 320247 747243 892169 2241729 2676507 6245183 8029521 18735549 24088563 25872901 56206647 77618703 168619941 181110307 232856109 364897121 543330921 698568327 1094691363 1629992763 2554279847 3284074089 4889978289 7662839541 9852222267 10582016509 22988518623 31746049527 68965555869 74074115563 95238148581 222222346689 285714445743 666667040067 2000001120201