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110100110198 = 213219313714947
BaseRepresentation
bin110011010001001111…
…0100101101101110110
3101112012001210002202012
41212202132211231312
53300441112011243
6122325043244222
710645245331631
oct1464236455566
9345161702665
10110100110198
1142769707411
1219408379672
13a4c817b900
145486602c18
152ce5cbed18
hex19a27a5b76

110100110198 has 96 divisors (see below), whose sum is σ = 199580912640. Its totient is φ = 45325837440.

The previous prime is 110100110191. The next prime is 110100110221. The reversal of 110100110198 is 891011001011.

It is a super-2 number, since 2×1101001101982 (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 (110100110191) 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, 7358561 + ... + 7373507.

It is an arithmetic number, because the mean of its divisors is an integer number (2078967840).

Almost surely, 2110100110198 is an apocalyptic number.

110100110198 is a deficient number, since it is larger than the sum of its proper divisors (89480802442).

110100110198 is a wasteful number, since it uses less digits than its factorization.

110100110198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15062 (or 15049 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 110100110198 in words is "one hundred ten billion, one hundred million, one hundred ten thousand, one hundred ninety-eight".

Divisors: 1 2 13 19 26 31 37 38 62 74 169 247 338 403 481 494 589 703 806 962 1147 1178 1406 2294 3211 5239 6253 6422 7657 9139 10478 12506 14911 14947 15314 18278 21793 29822 29894 43586 99541 118807 193843 194311 199082 237614 283309 283993 387686 388622 463357 553039 566618 567986 926714 1106078 2526043 3683017 3691909 5052086 6023641 7189507 7366034 7383818 8803783 10507741 12047282 14379014 17144209 17607566 21015482 34288418 47994817 78307333 93463591 95989634 114449179 136600633 156614666 186927182 222874717 228898358 273201266 325739971 445749434 651479942 1487839327 1775808229 2897371321 2975678654 3551616458 4234619623 5794742642 8469239246 55050055099 110100110198