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1010211220021 = 17531549723829
BaseRepresentation
bin11101011001101010100…
…01111110101000110101
310120120112100122011000011
432230311101332220311
5113022403033020041
62052030140220221
7132661655455543
oct16546521765065
93516470564004
101010211220021
1135a478996703
1214395183a671
137435496b273
1436c7466cd93
151b427e47e81
hexeb3547ea35

1010211220021 has 16 divisors (see below), whose sum is σ = 1090522278000. Its totient is φ = 932244139008.

The previous prime is 1010211220019. The next prime is 1010211220133. The reversal of 1010211220021 is 1200221120101.

It can be written as a sum of positive squares in 8 ways, for example, as 47430306225 + 962780913796 = 217785^2 + 981214^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010211220021 - 21 = 1010211220019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010211219983 and 1010211220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010211220321) 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 15 ways as a sum of consecutive naturals, for example, 1033735 + ... + 1757563.

It is an arithmetic number, because the mean of its divisors is an integer number (68157642375).

Almost surely, 21010211220021 is an apocalyptic number.

It is an amenable number.

1010211220021 is a deficient number, since it is larger than the sum of its proper divisors (80311057979).

1010211220021 is a wasteful number, since it uses less digits than its factorization.

1010211220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725448.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010211220021 its reverse (1200221120101), we get a palindrome (2210432340122).

The spelling of 1010211220021 in words is "one trillion, ten billion, two hundred eleven million, two hundred twenty thousand, twenty-one".

Divisors: 1 17 53 901 1549 26333 82097 723829 1395649 12305093 38362937 652169929 1121211121 19060589057 59424189413 1010211220021