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13031121022119 = 323110111323917123
BaseRepresentation
bin1011110110100000101101…
…0101101110110010100111
31201010202121020012020220100
42331220023111232302213
53202000213440201434
643414225300035143
72513316220050324
oct275501325566247
951122536166810
1013031121022119
114174516107292
121565628092ab3
13736aa23818c5
143309d12c1b4b
15178e818ea699
hexbda0b56eca7

13031121022119 has 96 divisors (see below), whose sum is σ = 19879928340480. Its totient is φ = 8215272576000.

The previous prime is 13031121022111. The next prime is 13031121022123. The reversal of 13031121022119 is 91122012113031.

13031121022119 is a `hidden beast` number, since 1 + 3 + 0 + 311 + 210 + 22 + 119 = 666.

It is not a de Polignac number, because 13031121022119 - 23 = 13031121022111 is a prime.

It is a super-2 number, since 2×130311210221192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13031121022092 and 13031121022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031121022111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761021692 + ... + 761038814.

It is an arithmetic number, because the mean of its divisors is an integer number (207082586880).

Almost surely, 213031121022119 is an apocalyptic number.

13031121022119 is a deficient number, since it is larger than the sum of its proper divisors (6848807318361).

13031121022119 is a wasteful number, since it uses less digits than its factorization.

13031121022119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17613 (or 17610 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 13031121022119 in words is "thirteen trillion, thirty-one billion, one hundred twenty-one million, twenty-two thousand, one hundred nineteen".

Divisors: 1 3 9 31 93 101 113 239 279 303 339 717 909 1017 2151 3131 3503 7409 9393 10509 11413 17123 22227 24139 27007 28179 31527 34239 51369 66681 72417 81021 102717 154107 217251 243063 353803 530813 748309 837217 1061409 1592439 1729423 1934899 2244927 2511651 2727707 3184227 4092397 4777317 5188269 5804697 6734781 7534953 8183121 12277191 15564807 17414091 24549363 36831573 53612113 59981869 84558917 126864307 160836339 179945607 195424799 253676751 380592921 413332097 462440861 482509017 539836821 586274397 761030253 1141778763 1239996291 1387322583 1758823191 3719988873 4161967749 6058168769 12813295007 14335666691 18174506307 38439885021 43007000073 46706526961 54523518921 115319655063 129021000219 140119580883 420358742649 1447902335791 4343707007373 13031121022119