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133122211230101 = 1761588972179609
BaseRepresentation
bin11110010001001011101110…
…000111001011000110010101
3122110100100200210021022011112
4132101023232013023012111
5114422033242033330401
61151043255524144405
740016522331242132
oct3621135607130625
9573310623238145
10133122211230101
11394648a3828a15
1212b1bb87238105
1359384a8433512
1424c3213d5d589
15105cc32e7c3bb
hex7912ee1cb195

133122211230101 has 16 divisors (see below), whose sum is σ = 143266131474480. Its totient is φ = 123235385057280.

The previous prime is 133122211230097. The next prime is 133122211230157. The reversal of 133122211230101 is 101032112221331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21730756963876 + 111391454266225 = 4661626^2 + 10554215^2 .

It is a cyclic number.

It is not a de Polignac number, because 133122211230101 - 22 = 133122211230097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122211200101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59986385 + ... + 62165993.

It is an arithmetic number, because the mean of its divisors is an integer number (8954133217155).

Almost surely, 2133122211230101 is an apocalyptic number.

It is an amenable number.

133122211230101 is a deficient number, since it is larger than the sum of its proper divisors (10143920244379).

133122211230101 is a wasteful number, since it uses less digits than its factorization.

133122211230101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238584.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 133122211230101 its reverse (101032112221331), we get a palindrome (234154323451432).

The spelling of 133122211230101 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, two hundred eleven million, two hundred thirty thousand, one hundred one".

Divisors: 1 17 61 1037 58897 1001249 2179609 3592717 37053353 61076189 132956149 2260254533 128372431273 2182331331641 7830718307653 133122211230101