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122231000133 = 3511181252641
BaseRepresentation
bin111000111010110001…
…0010000110001000101
3102200111111012011100000
41301311202100301011
54000312114001013
6132052510311513
711554666233654
oct1616542206105
9380444164300
10122231000133
1147924238590
121b832ab8599
13b6ac480ca8
145cb777319b
1532a5c97973
hex1c75890c45

122231000133 has 48 divisors (see below), whose sum is σ = 200844326592. Its totient is φ = 73669824000.

The previous prime is 122231000131. The next prime is 122231000137. The reversal of 122231000133 is 331000132221.

122231000133 is a `hidden beast` number, since 1 + 222 + 310 + 0 + 0 + 133 = 666.

It is not a de Polignac number, because 122231000133 - 21 = 122231000131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231000131) 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, 357493 + ... + 610133.

It is an arithmetic number, because the mean of its divisors is an integer number (4184256804).

Almost surely, 2122231000133 is an apocalyptic number.

It is an amenable number.

122231000133 is a deficient number, since it is larger than the sum of its proper divisors (78613326459).

122231000133 is a wasteful number, since it uses less digits than its factorization.

122231000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252848 (or 252836 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122231000133 its reverse (331000132221), we get a palindrome (453231132354).

The spelling of 122231000133 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 81 99 181 243 297 543 891 1629 1991 2673 4887 5973 14661 17919 43983 53757 161271 252641 483813 757923 2273769 2779051 6821307 8337153 20463921 25011459 45728021 61391763 75034377 137184063 225103131 411552189 503008231 675309393 1234656567 1509024693 3703969701 4527074079 11111909103 13581222237 40743666711 122231000133