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100100012209 = 193541958693
BaseRepresentation
bin101110100111001101…
…1001111100010110001
3100120101010211111012121
41131032123033202301
53120001100342314
6113552454354241
710142400031201
oct1351633174261
9316333744177
10100100012209
11394a793581a
121749735b981
139593458972
144bb8456401
15290cde2d24
hex174e6cf8b1

100100012209 has 8 divisors (see below), whose sum is σ = 100804756712. Its totient is φ = 99397186560.

The previous prime is 100100012179. The next prime is 100100012213. The reversal of 100100012209 is 902210001001.

It can be written as a sum of positive squares in 4 ways, for example, as 27372709809 + 72727302400 = 165447^2 + 269680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100100012209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100012192 and 100100012201.

It is not an unprimeable number, because it can be changed into a prime (100100012249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374934 + ... + 583759.

It is an arithmetic number, because the mean of its divisors is an integer number (12600594589).

Almost surely, 2100100012209 is an apocalyptic number.

It is an amenable number.

100100012209 is a deficient number, since it is larger than the sum of its proper divisors (704744503).

100100012209 is an equidigital number, since it uses as much as digits as its factorization.

100100012209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959427.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 100100012209 in words is "one hundred billion, one hundred million, twelve thousand, two hundred nine".

Divisors: 1 193 541 104413 958693 185027749 518652913 100100012209