Search a number
-
+
2122000010001 = 33475473057007
BaseRepresentation
bin11110111000010001000…
…011101000101100010001
321111212020211101111102000
4132320101003220230101
5234231324000310001
64302500000344213
7306211065323304
oct36702103505421
97455224344360
102122000010001
11748a3175a033
122a3311615069
13125146bca4c1
14749c3694b3b
153a2e8848a86
hex1ee110e8b11

2122000010001 has 32 divisors (see below), whose sum is σ = 3216461537280. Its totient is φ = 1382035728528.

The previous prime is 2122000009999. The next prime is 2122000010021. The reversal of 2122000010001 is 1000100002212.

It is not a de Polignac number, because 2122000010001 - 21 = 2122000009999 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 (2122000010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834361 + ... + 2222646.

It is an arithmetic number, because the mean of its divisors is an integer number (100514423040).

Almost surely, 22122000010001 is an apocalyptic number.

It is an amenable number.

2122000010001 is a deficient number, since it is larger than the sum of its proper divisors (1094461527279).

2122000010001 is a wasteful number, since it uses less digits than its factorization.

2122000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057610 (or 3057604 counting only the distinct ones).

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

Adding to 2122000010001 its reverse (1000100002212), we get a palindrome (3122100012213).

The spelling of 2122000010001 in words is "two trillion, one hundred twenty-two billion, ten thousand, one".

Divisors: 1 3 9 27 47 141 423 547 1269 1641 4923 14769 25709 77127 231381 694143 3057007 9171021 27513063 82539189 143679329 431037987 1293113961 1672182829 3879341883 5016548487 15049645461 45148936383 78592592963 235777778889 707333336667 2122000010001