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2002000101201 = 321941833440377
BaseRepresentation
bin11101001000100000100…
…000010011111101010001
321002101111211101112000100
4131020200200103331101
5230300044011214301
64131412310043013
7264432300040632
oct35104040237521
97071454345010
102002000101201
11702052957491
12284001949469
13116a31a457c9
146cc7c373889
15371238b0286
hex1d220813f51

2002000101201 has 48 divisors (see below), whose sum is σ = 3155789931840. Its totient is φ = 1218718794240.

The previous prime is 2002000101193. The next prime is 2002000101247. The reversal of 2002000101201 is 1021010002002.

It is not a de Polignac number, because 2002000101201 - 23 = 2002000101193 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002000101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138276 + ... + 2302101.

It is an arithmetic number, because the mean of its divisors is an integer number (65745623580).

Almost surely, 22002000101201 is an apocalyptic number.

It is an amenable number.

2002000101201 is a deficient number, since it is larger than the sum of its proper divisors (1153789830639).

2002000101201 is a wasteful number, since it uses less digits than its factorization.

2002000101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440526 (or 3440523 counting only the distinct ones).

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

Adding to 2002000101201 its reverse (1021010002002), we get a palindrome (3023010103203).

The spelling of 2002000101201 in words is "two trillion, two billion, one hundred one thousand, two hundred one".

Divisors: 1 3 9 19 41 57 83 123 171 249 369 747 779 1577 2337 3403 4731 7011 10209 14193 30627 64657 193971 581913 3440377 10321131 30963393 65367163 141055457 196101489 285551291 423166371 588304467 856653873 1269499113 2569961619 2680053683 5425474529 8040161049 11707602931 16276423587 24120483147 35122808793 48829270761 105368426379 222444455689 667333367067 2002000101201