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107119098 = 234291512
BaseRepresentation
bin1100110001010…
…00000111111010
321110120012210000
412120220013322
5204410302343
614343533430
72440332402
oct630500772
9243505700
10107119098
1155514189
122ba5a276
1319266ca8
1410325802
15960ded3
hex66281fa

107119098 has 60 divisors (see below), whose sum is σ = 249958170. Its totient is φ = 34246800.

The previous prime is 107119097. The next prime is 107119147. The reversal of 107119098 is 890911701.

It can be written as a sum of positive squares in only one way, i.e., 90497169 + 16621929 = 9513^2 + 4077^2 .

It is a super-2 number, since 2×1071190982 = 22949002312667208, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107119097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 709323 + ... + 709473.

Almost surely, 2107119098 is an apocalyptic number.

107119098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107119098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124979085).

107119098 is an abundant number, since it is smaller than the sum of its proper divisors (142839072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107119098 is an equidigital number, since it uses as much as digits as its factorization.

107119098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 107119098 is about 10349.8356508691. The cubic root of 107119098 is about 474.9220156369.

The spelling of 107119098 in words is "one hundred seven million, one hundred nineteen thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 151 162 174 261 302 453 522 783 906 1359 1566 2349 2718 4077 4379 4698 8154 8758 12231 13137 22801 24462 26274 39411 45602 68403 78822 118233 136806 205209 236466 354699 410418 615627 661229 709398 1231254 1322458 1846881 1983687 3693762 3967374 5951061 11902122 17853183 35706366 53559549 107119098