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122200010001 = 32371103332699
BaseRepresentation
bin111000111001110110…
…0000010110100010001
3102200102022212200212100
41301303230002310101
54000231200310001
6132045442151013
711554141642506
oct1616354026421
9380368780770
10122200010001
11479087a1203
121b824652469
13b6a5c20434
145cb35c74ad
1532a31c5586
hex1c73b02d11

122200010001 has 24 divisors (see below), whose sum is σ = 181446595200. Its totient is φ = 79192770336.

The previous prime is 122200009979. The next prime is 122200010003. The reversal of 122200010001 is 100010002221.

It is not a de Polignac number, because 122200010001 - 29 = 122200009489 is a prime.

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

122200010001 is a modest number, since divided by 10001 gives 1222 as remainder.

It is not an unprimeable number, because it can be changed into a prime (122200010003) 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 23 ways as a sum of consecutive naturals, for example, 200950 + ... + 533648.

It is an arithmetic number, because the mean of its divisors is an integer number (7560274800).

Almost surely, 2122200010001 is an apocalyptic number.

It is an amenable number.

122200010001 is a deficient number, since it is larger than the sum of its proper divisors (59246585199).

122200010001 is a wasteful number, since it uses less digits than its factorization.

122200010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333845 (or 333842 counting only the distinct ones).

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

Adding to 122200010001 its reverse (100010002221), we get a palindrome (222210012222).

The spelling of 122200010001 in words is "one hundred twenty-two billion, two hundred million, ten thousand, one".

Divisors: 1 3 9 37 111 333 1103 3309 9927 40811 122433 332699 367299 998097 2994291 12309863 36929589 110788767 366966997 1100900991 3302702973 13577778889 40733336667 122200010001