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1020021101022 = 2371143101508367
BaseRepresentation
bin11101101011111011111…
…11101101000111011110
310121111212000122201220010
432311331333231013132
5113203000400213042
62100331412104050
7133460034205650
oct16657577550736
93544760581803
101020021101022
11363652357480
1214582b005026
1375259150a91
14375254626d0
151b7ee29e59c
hexed7dfed1de

1020021101022 has 128 divisors (see below), whose sum is σ = 2628352032768. Its totient is φ = 256216464000.

The previous prime is 1020021100997. The next prime is 1020021101069. The reversal of 1020021101022 is 2201011200201.

It is a junction number, because it is equal to n+sod(n) for n = 1020021100989 and 1020021101007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1752283 + ... + 2260649.

It is an arithmetic number, because the mean of its divisors is an integer number (20534000256).

Almost surely, 21020021101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020021101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314176016384).

1020021101022 is an abundant number, since it is smaller than the sum of its proper divisors (1608330931746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020021101022 is a wasteful number, since it uses less digits than its factorization.

1020021101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508534.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020021101022 its reverse (2201011200201), we get a palindrome (3221032301223).

The spelling of 1020021101022 in words is "one trillion, twenty billion, twenty-one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 101 129 154 202 231 258 301 303 462 473 602 606 707 903 946 1111 1414 1419 1806 2121 2222 2838 3311 3333 4242 4343 6622 6666 7777 8686 9933 13029 15554 19866 23331 26058 30401 46662 47773 60802 91203 95546 143319 182406 286638 334411 508367 668822 1003233 1016734 1525101 2006466 3050202 3558569 5592037 7117138 10675707 11184074 16776111 21351414 21859781 33552222 39144259 43719562 51345067 65579343 78288518 102690134 117432777 131158686 153018467 154035201 234865554 240457591 306036934 308070402 359415469 459055401 480915182 564795737 718830938 721372773 918110802 1078246407 1129591474 1442745546 1683203137 1694387211 2156492814 2207837881 3366406274 3388774422 3953570159 4415675762 5049609411 6623513643 7907140318 10099218822 11860710477 13247027286 15454865167 23721420954 24286216691 30909730334 46364595501 48572433382 72858650073 92729191002 145717300146 170003516837 340007033674 510010550511 1020021101022