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122113441401 = 37231229117017
BaseRepresentation
bin111000110111010000…
…1110011111001111001
3102200012021222120001220
41301232201303321321
54000042020111101
6132033110502253
711552041061100
oct1615641637171
9380167876056
10122113441401
1147873943a06
121b7bb664989
13b691000303
145ca5cd1037
15329a7c5636
hex1c6e873e79

122113441401 has 48 divisors (see below), whose sum is σ = 196365565440. Its totient is φ = 67232712960.

The previous prime is 122113441399. The next prime is 122113441409. The reversal of 122113441401 is 104144311221.

It is a happy number.

It is not a de Polignac number, because 122113441401 - 21 = 122113441399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122113441409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985045 + ... + 1102061.

It is an arithmetic number, because the mean of its divisors is an integer number (4090949280).

Almost surely, 2122113441401 is an apocalyptic number.

It is an amenable number.

122113441401 is a deficient number, since it is larger than the sum of its proper divisors (74252124039).

122113441401 is a wasteful number, since it uses less digits than its factorization.

122113441401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117294 (or 117287 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 122113441401 its reverse (104144311221), we get a palindrome (226257752622).

The spelling of 122113441401 in words is "one hundred twenty-two billion, one hundred thirteen million, four hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 21 31 49 93 147 217 229 651 687 1519 1603 4557 4809 7099 11221 21297 33663 49693 117017 149079 347851 351051 819119 1043553 2457357 3627527 5733833 10882581 17201499 25392689 26796893 76178067 80390679 177748823 187578251 533246469 562734753 830703683 1313047757 2492111049 3939143271 5814925781 17444777343 40704480467 122113441401