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100302110109 = 33311134192531
BaseRepresentation
bin101110101101001111…
…0001011110110011101
3100120220020010010102000
41131122132023312131
53120404320010414
6114024514152513
710150402603665
oct1353236136635
9316806103360
10100302110109
11395a0a20983
1217532b82739
1395c6298b16
144bd72231a5
152920a13b09
hex175a78bd9d

100302110109 has 64 divisors (see below), whose sum is σ = 155177164800. Its totient is φ = 63960019200.

The previous prime is 100302110087. The next prime is 100302110131. The reversal of 100302110109 is 901011203001.

It is an interprime number because it is at equal distance from previous prime (100302110087) and next prime (100302110131).

It is not a de Polignac number, because 100302110109 - 219 = 100301585821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100302110091 and 100302110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302110809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39628174 + ... + 39630704.

It is an arithmetic number, because the mean of its divisors is an integer number (2424643200).

Almost surely, 2100302110109 is an apocalyptic number.

It is an amenable number.

100302110109 is a deficient number, since it is larger than the sum of its proper divisors (54875054691).

100302110109 is a wasteful number, since it uses less digits than its factorization.

100302110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 100302110109 in words is "one hundred billion, three hundred two million, one hundred ten thousand, one hundred nine".

Divisors: 1 3 9 27 31 93 113 279 339 419 837 1017 1257 2531 3051 3503 3771 7593 10509 11313 12989 22779 31527 38967 47347 68337 78461 94581 116901 142041 235383 286003 350703 426123 706149 858009 1060489 1278369 1467757 2118447 2574027 3181467 4403271 7722081 8866093 9544401 13209813 26598279 28633203 32875159 39629439 79794837 98625477 119835257 239384511 295876431 359505771 887629293 1078517313 3235551939 3714892967 11144678901 33434036703 100302110109