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1020020220021 = 311172717578863
BaseRepresentation
bin11101101011111011111…
…00010110000001110101
310121111211221222222101110
432311331330112001311
5113203000134020041
62100331341145233
7133460023546305
oct16657574260165
93544757888343
101020020220021
11363651905580
1214582a85b219
1375258c02a8a
14375252b3605
151b7ee178516
hexed7df16075

1020020220021 has 64 divisors (see below), whose sum is σ = 1578998071296. Its totient is φ = 578851660800.

The previous prime is 1020020220019. The next prime is 1020020220029. The reversal of 1020020220021 is 1200220200201.

It is not a de Polignac number, because 1020020220021 - 21 = 1020020220019 is a prime.

It is a super-3 number, since 3×10200202200213 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020020219979 and 1020020220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020220029) 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, 115083036 + ... + 115091898.

It is an arithmetic number, because the mean of its divisors is an integer number (24671844864).

Almost surely, 21020020220021 is an apocalyptic number.

1020020220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020020220021 is a deficient number, since it is larger than the sum of its proper divisors (558977851275).

1020020220021 is a wasteful number, since it uses less digits than its factorization.

1020020220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020020220021 its reverse (1200220200201), we get a palindrome (2220240420222).

The spelling of 1020020220021 in words is "one trillion, twenty billion, twenty million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 11 17 33 51 187 271 561 757 813 2271 2981 4607 8327 8863 8943 12869 13821 24981 26589 38607 50677 97493 141559 150671 152031 205147 292479 424677 452013 615441 1657381 2256617 2401873 3487499 4972143 6709291 6769851 7205619 10462497 20127873 26420603 38362489 40831841 73802201 79261809 114057947 115087467 122495523 221406603 342173841 449150251 1254637417 1347450753 1818217861 3763912251 5454653583 20000396471 30909703637 60001189413 92729110911 340006740007 1020020220021