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1120100000211 = 33711316177229
BaseRepresentation
bin10000010011001011001…
…010011010000111010011
310222002011200202120111000
4100103023022122013103
5121322431100001321
62214322234153043
7143632056624153
oct20231312320723
93862150676430
101120100000211
113a2039281715
121610bb282783
13818180c681a
143c2dab80763
151e20a3c1826
hex104cb29a1d3

1120100000211 has 64 divisors (see below), whose sum is σ = 1698608102400. Its totient is φ = 729310982400.

The previous prime is 1120100000203. The next prime is 1120100000281. The reversal of 1120100000211 is 1120000010211.

It is a happy number.

It is not a de Polignac number, because 1120100000211 - 23 = 1120100000203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120100000193 and 1120100000202.

It is not an unprimeable number, because it can be changed into a prime (1120100000281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154941745 + ... + 154948973.

It is an arithmetic number, because the mean of its divisors is an integer number (26540751600).

Almost surely, 21120100000211 is an apocalyptic number.

1120100000211 is a deficient number, since it is larger than the sum of its proper divisors (578508102189).

1120100000211 is a wasteful number, since it uses less digits than its factorization.

1120100000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8057 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120100000211 its reverse (1120000010211), we get a palindrome (2240100010422).

The spelling of 1120100000211 in words is "one trillion, one hundred twenty billion, one hundred million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 27 71 131 213 393 617 639 1179 1851 1917 3537 5553 7229 9301 16659 21687 27903 43807 65061 80827 83709 131421 195183 242481 251127 394263 513259 727443 946999 1182789 1539777 2182329 2840997 4460293 4619331 5738717 8522991 13380879 13857993 17216151 25568973 40142637 51648453 67236929 120427911 154945359 201710787 316680803 584298383 605132361 950042409 1752895149 1815397083 2850127227 5258685447 8550381681 15776056341 41485185193 124455555579 373366666737 1120100000211