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1020101000211 = 322937719146917
BaseRepresentation
bin11101101100000101100…
…00011111110000010011
310121112001121000000222100
432312002300133300103
5113203131324001321
62100343344411443
7133462024302126
oct16660260376023
93545047000870
101020101000211
11363693469967
12145851916b83
137526c8772c7
1437531d003bd
151b8062d3326
hexed82c1fc13

1020101000211 has 48 divisors (see below), whose sum is σ = 1567673827200. Its totient is φ = 637977441024.

The previous prime is 1020101000189. The next prime is 1020101000239. The reversal of 1020101000211 is 1120001010201.

It is a happy number.

1020101000211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020101000211 - 233 = 1011511065619 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 = 1020101000193 and 1020101000202.

It is not an unprimeable number, because it can be changed into a prime (1020101000011) 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, 6869925 + ... + 7016841.

It is an arithmetic number, because the mean of its divisors is an integer number (32659871400).

Almost surely, 21020101000211 is an apocalyptic number.

1020101000211 is a deficient number, since it is larger than the sum of its proper divisors (547572826989).

1020101000211 is a wasteful number, since it uses less digits than its factorization.

1020101000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147708 (or 147705 counting only the distinct ones).

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

Adding to 1020101000211 its reverse (1120001010201), we get a palindrome (2140102010412).

The spelling of 1020101000211 in words is "one trillion, twenty billion, one hundred one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 29 37 87 111 261 333 719 1073 2157 3219 6471 9657 20851 26603 62553 79809 146917 187659 239427 440751 771487 1322253 2314461 4260593 5435929 6943383 12781779 16307787 38345337 48923361 105633323 157641941 316899969 472925823 950699907 1418777469 3063366367 3908432951 9190099101 11725298853 27570297303 35175896559 113344555579 340033666737 1020101000211