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122112002133 = 321117312340521
BaseRepresentation
bin111000110111001110…
…0010100100001010101
3102200012012021102202200
41301232130110201111
54000041133032013
6132033015555113
711552022615012
oct1615634244125
9380165242680
10122112002133
1147873050630
121b7bb08ba99
13b690918184
145ca5a38709
15329a5dde73
hex1c6e714855

122112002133 has 48 divisors (see below), whose sum is σ = 210309944832. Its totient is φ = 67406976000.

The previous prime is 122112002123. The next prime is 122112002137. The reversal of 122112002133 is 331200211221.

It is a de Polignac number, because none of the positive numbers 2k-122112002133 is a prime.

It is a super-2 number, since 2×1221120021332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112002137) 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, 1118088 + ... + 1222433.

It is an arithmetic number, because the mean of its divisors is an integer number (4381457184).

Almost surely, 2122112002133 is an apocalyptic number.

It is an amenable number.

122112002133 is a deficient number, since it is larger than the sum of its proper divisors (88197942699).

122112002133 is a wasteful number, since it uses less digits than its factorization.

122112002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340586 (or 2340583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122112002133 its reverse (331200211221), we get a palindrome (453312213354).

The spelling of 122112002133 in words is "one hundred twenty-two billion, one hundred twelve million, two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 17 31 33 51 93 99 153 187 279 341 527 561 1023 1581 1683 3069 4743 5797 17391 52173 2340521 7021563 21064689 25745731 39788857 72556151 77237193 119366571 217668453 231711579 358099713 437677427 653005359 798117661 1233454567 1313032281 2394352983 3700363701 3939096843 7183058949 11101091103 13568000237 40704000711 122112002133