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100111211199 = 3529139102203
BaseRepresentation
bin101110100111100010…
…1111101101010111111
3100120101220220110100000
41131033011331222333
53120011432224244
6113553534405343
710142564153256
oct1351705755277
9316356813300
10100111211199
113950319478a
121749b060853
13959587a19c
144bb9b2d79d
15290dda6169
hex174f17dabf

100111211199 has 48 divisors (see below), whose sum is σ = 156249475200. Its totient is φ = 63975181536.

The previous prime is 100111211191. The next prime is 100111211273. The reversal of 100111211199 is 991112111001.

It is not a de Polignac number, because 100111211199 - 23 = 100111211191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111211191) 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, 928432 + ... + 1030634.

It is an arithmetic number, because the mean of its divisors is an integer number (3255197400).

Almost surely, 2100111211199 is an apocalyptic number.

100111211199 is a deficient number, since it is larger than the sum of its proper divisors (56138264001).

100111211199 is a wasteful number, since it uses less digits than its factorization.

100111211199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102386 (or 102374 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 27.

The spelling of 100111211199 in words is "one hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred ninety-nine".

Divisors: 1 3 9 27 29 81 87 139 243 261 417 783 1251 2349 3753 4031 7047 11259 12093 33777 36279 102203 108837 306609 326511 919827 979533 2759481 2963887 8278443 8891661 14206217 24835329 26674983 42618651 80024949 127855953 240074847 383567859 411980293 720224541 1150703577 1235940879 3452110731 3707822637 11123467911 33370403733 100111211199