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1020011000211 = 337231487157799
BaseRepresentation
bin11101101011111010110…
…01001011000110010011
310121111211022122120012000
432311331121023012103
5113202440304001321
62100330411405043
7133456552306350
oct16657531130623
93544738576160
101020011000211
113636476885a5
12145827753783
1375257025378
1437523d93627
151b7ed456826
hexed7d64b193

1020011000211 has 64 divisors (see below), whose sum is σ = 1803313152000. Its totient is φ = 557143079328.

The previous prime is 1020011000209. The next prime is 1020011000213. The reversal of 1020011000211 is 1120001100201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020011000209) and next prime (1020011000213).

It is not a de Polignac number, because 1020011000211 - 21 = 1020011000209 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 = 1020011000193 and 1020011000202.

It is not an unprimeable number, because it can be changed into a prime (1020011000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6385090 + ... + 6542888.

It is an arithmetic number, because the mean of its divisors is an integer number (28176768000).

Almost surely, 21020011000211 is an apocalyptic number.

1020011000211 is a deficient number, since it is larger than the sum of its proper divisors (783302151789).

1020011000211 is a wasteful number, since it uses less digits than its factorization.

1020011000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159325 (or 159319 counting only the distinct ones).

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

Adding to 1020011000211 its reverse (1120001100201), we get a palindrome (2140012100412).

The spelling of 1020011000211 in words is "one trillion, twenty billion, eleven million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 1487 4347 4461 10409 13383 31227 34201 40149 93681 102603 157799 239407 281043 307809 473397 718221 923427 1104593 1420191 2154663 3313779 3629377 4260573 6463989 9941337 10888131 25405639 29824011 32664393 76216917 97993179 228650751 234647113 685952253 703941339 1642529791 2111824017 4927589373 5396883599 6335472051 14782768119 16190650797 37778185193 44348304357 48571952391 113334555579 145715857173 340003666737 1020011000211