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100330332219 = 32131959975347
BaseRepresentation
bin101110101110000100…
…1110110000000111011
3100120222012012221212100
41131130021312000323
53120434031112334
6114031403114443
710151164516125
oct1353411660073
9316865187770
10100330332219
1139605947637
1217540512a23
1395cc09a7b0
144bdac8c215
15292323ac99
hex175c27603b

100330332219 has 48 divisors (see below), whose sum is σ = 164560032000. Its totient is φ = 58393752768.

The previous prime is 100330332209. The next prime is 100330332227. The reversal of 100330332219 is 912233033001.

100330332219 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 3 + 322 + 1 + 9 = 666.

It is not a de Polignac number, because 100330332219 - 24 = 100330332203 is a prime.

It is a super-2 number, since 2×1003303322192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100330332192 and 100330332201.

It is not an unprimeable number, because it can be changed into a prime (100330332209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293904 + ... + 1369250.

It is an arithmetic number, because the mean of its divisors is an integer number (3428334000).

Almost surely, 2100330332219 is an apocalyptic number.

100330332219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100330332219 is a deficient number, since it is larger than the sum of its proper divisors (64229699781).

100330332219 is a wasteful number, since it uses less digits than its factorization.

100330332219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75984 (or 75981 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 100330332219 in words is "one hundred billion, three hundred thirty million, three hundred thirty-two thousand, two hundred nineteen".

Divisors: 1 3 9 13 19 39 57 117 171 247 599 741 1797 2223 5391 7787 11381 23361 34143 70083 75347 102429 147953 226041 443859 678123 979511 1331577 1431593 2938533 4294779 8815599 12884337 18610709 45132853 55832127 135398559 167496381 406195677 586727089 857524207 1760181267 2572572621 5280543801 7717717863 11147814691 33443444073 100330332219