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1020110000211 = 324315671682159
BaseRepresentation
bin11101101100000110100…
…10110101000001010011
310121112002012221021122200
432312003102311001103
5113203141130001321
62100344305334243
7133462163635161
oct16660322650123
93545065837580
101020110000211
11363698556785
12145854937383
13752716a8953
14375331a4231
151b806eaed26
hexed834b5053

1020110000211 has 24 divisors (see below), whose sum is σ = 1508722575360. Its totient is φ = 663833375856.

The previous prime is 1020110000201. The next prime is 1020110000219. The reversal of 1020110000211 is 1120000110201.

It is a happy number.

It is not a de Polignac number, because 1020110000211 - 213 = 1020109992019 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 = 1020110000193 and 1020110000202.

It is not an unprimeable number, because it can be changed into a prime (1020110000219) 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 23 ways as a sum of consecutive naturals, for example, 234651 + ... + 1447508.

It is an arithmetic number, because the mean of its divisors is an integer number (62863440640).

Almost surely, 21020110000211 is an apocalyptic number.

1020110000211 is a deficient number, since it is larger than the sum of its proper divisors (488612575149).

1020110000211 is a wasteful number, since it uses less digits than its factorization.

1020110000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683775 (or 1683772 counting only the distinct ones).

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

Adding to 1020110000211 its reverse (1120000110201), we get a palindrome (2140110110412).

The spelling of 1020110000211 in words is "one trillion, twenty billion, one hundred ten million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 43 129 387 1567 4701 14103 67381 202143 606429 1682159 5046477 15139431 72332837 216998511 650995533 2635943153 7907829459 23723488377 113345555579 340036666737 1020110000211