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12121029393 = 31117372931993
BaseRepresentation
bin10110100100111100…
…00011101100010001
31011021201212002110120
423102132003230101
5144310440420033
65322431420453
7606241023054
oct132236035421
934251762416
1012121029393
115160006870
122423384729
1311b225c155
1482db24a9b
154ae1cb1b3
hex2d2783b11

12121029393 has 64 divisors (see below), whose sum is σ = 19247300352. Its totient is φ = 6700769280.

The previous prime is 12121029337. The next prime is 12121029397. The reversal of 12121029393 is 39392012121.

It is not a de Polignac number, because 12121029393 - 213 = 12121021201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12121029397) 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, 6080805 + ... + 6082797.

It is an arithmetic number, because the mean of its divisors is an integer number (300739068).

Almost surely, 212121029393 is an apocalyptic number.

It is an amenable number.

12121029393 is a deficient number, since it is larger than the sum of its proper divisors (7126270959).

12121029393 is a wasteful number, since it uses less digits than its factorization.

12121029393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354.

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 12121029393 in words is "twelve billion, one hundred twenty-one million, twenty-nine thousand, three hundred ninety-three".

Divisors: 1 3 11 17 33 37 51 111 187 293 407 561 629 879 1221 1887 1993 3223 4981 5979 6919 9669 10841 14943 20757 21923 32523 33881 54791 65769 73741 101643 119251 164373 184297 221223 357753 372691 552891 583949 811151 1118073 1253597 1751847 2027267 2433453 3760791 6081801 6423439 9927133 13789567 19270317 21606113 29781399 41368701 64818339 109198463 237667243 327595389 367303921 713001729 1101911763 4040343131 12121029393