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122100023001 = 311671133971231
BaseRepresentation
bin111000110110110111…
…0100111111011011001
3102200011100201211111010
41301231232213323121
54000030101214001
6132031511124133
711551516033305
oct1615556477331
9380140654433
10122100023001
1147867309520
121b7b7073649
13b68b2b2828
145ca41dad05
1532995248d6
hex1c6dba7ed9

122100023001 has 64 divisors (see below), whose sum is σ = 182452064256. Its totient is φ = 72009907200.

The previous prime is 122100022999. The next prime is 122100023011. The reversal of 122100023001 is 100320001221.

It is not a de Polignac number, because 122100023001 - 21 = 122100022999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122100023011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99187056 + ... + 99188286.

It is an arithmetic number, because the mean of its divisors is an integer number (2850813504).

Almost surely, 2122100023001 is an apocalyptic number.

122100023001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100023001 is a deficient number, since it is larger than the sum of its proper divisors (60352041255).

122100023001 is a wasteful number, since it uses less digits than its factorization.

122100023001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122100023001 its reverse (100320001221), we get a palindrome (222420024222).

The spelling of 122100023001 in words is "one hundred twenty-two billion, one hundred million, twenty-three thousand, one".

Divisors: 1 3 11 33 67 113 201 339 397 737 1191 1231 1243 2211 3693 3729 4367 7571 13101 13541 22713 26599 40623 44861 79797 82477 83281 134583 139103 247431 249843 292589 417309 488707 493471 877767 907247 1466121 1480413 1530133 2721741 3005687 4590399 5375777 9017061 9319901 16127331 27959703 32743369 33062557 55223891 98230107 99187671 102518911 165671673 307556733 360177059 607462801 1080531177 1822388403 3700000697 11100002091 40700007667 122100023001