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99010001100101 = 72131929282090223
BaseRepresentation
bin10110100000110010001111…
…111100011101110101000101
3110222120021010012201121222112
4112200302033330131311011
5100434134440240200401
6550324322214310405
726566144061266400
oct2640621774356505
9428507105647875
1099010001100101
11296029a6487873
12b130975058405
1343327abb61520
141a64176b36d37
15b6a7260823bb
hex5a0c8ff1dd45

99010001100101 has 48 divisors (see below), whose sum is σ = 135064799251200. Its totient is φ = 71655429831552.

The previous prime is 99010001100091. The next prime is 99010001100191. The reversal of 99010001100101 is 10100110001099.

It is a happy number.

It is not a de Polignac number, because 99010001100101 - 210 = 99010001099077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99010001100191) 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, 140694125 + ... + 141396098.

It is an arithmetic number, because the mean of its divisors is an integer number (2813849984400).

Almost surely, 299010001100101 is an apocalyptic number.

99010001100101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

99010001100101 is a deficient number, since it is larger than the sum of its proper divisors (36054798151099).

99010001100101 is a wasteful number, since it uses less digits than its factorization.

99010001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282090298 (or 282090291 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 99010001100101 in words is "ninety-nine trillion, ten billion, one million, one hundred thousand, one hundred one".

Divisors: 1 7 13 19 29 49 91 133 203 247 377 551 637 931 1421 1729 2639 3857 7163 12103 18473 26999 50141 350987 282090223 1974631561 3667172899 5359714237 8180616467 13822420927 25670210293 37517999659 57264315269 69676285081 106348014071 155431712873 179691472051 262625997613 400850206883 487733995567 744436098497 1088021990111 2020612267349 3414137968969 5211052689479 7616153930777 14144285871443 99010001100101