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111001066098 = 231321511993643
BaseRepresentation
bin110011101100000101…
…1011101101001110010
3101121111212002101220020
41213120023131221302
53304312233103343
6122554310024310
711006465331336
oct1473013355162
9347455071806
10111001066098
114309123196a
121961a048096
13a60ca1b400
14553012b7c6
152d49e39b83
hex19d82dda72

111001066098 has 96 divisors (see below), whose sum is σ = 243267609600. Its totient is φ = 33748228800.

The previous prime is 111001066079. The next prime is 111001066103. The reversal of 111001066098 is 890660100111.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30467865 + ... + 30471507.

It is an arithmetic number, because the mean of its divisors is an integer number (2534037600).

Almost surely, 2111001066098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001066098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121633804800).

111001066098 is an abundant number, since it is smaller than the sum of its proper divisors (132266543502).

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

111001066098 is a wasteful number, since it uses less digits than its factorization.

111001066098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 111001066098 in words is "one hundred eleven billion, one million, sixty-six thousand, ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 151 169 199 302 338 398 453 507 597 906 1014 1194 1963 2587 3643 3926 5174 5889 7286 7761 10929 11778 15522 21858 25519 30049 33631 47359 51038 60098 67262 76557 90147 94718 100893 142077 153114 180294 201786 284154 390637 550093 615667 724957 781274 1100186 1171911 1231334 1449914 1650279 1847001 2174871 2343822 3300558 3694002 4349742 5078281 7151209 9424441 10156562 14302418 15234843 18848882 21453627 28273323 30469686 42907254 56546646 92965717 109468507 122517733 185931434 218937014 245035466 278897151 328405521 367553199 557794302 656811042 735106398 1423090591 2846181182 4269271773 8538543546 18500177683 37000355366 55500533049 111001066098