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1000220201022 = 237372107162577
BaseRepresentation
bin11101000111000011100…
…01010001000000111110
310112121202001202210111110
432203201301101000332
5112341422332413042
62043254514102450
7132156250300350
oct16434161210076
93477661683443
101000220201022
11356211256209
12141a2387aa26
1373421aa68c3
14365a77a70d0
151b040c6109c
hexe8e1c5103e

1000220201022 has 96 divisors (see below), whose sum is σ = 2371651446528. Its totient is φ = 275453167104.

The previous prime is 1000220200979. The next prime is 1000220201033. The reversal of 1000220201022 is 2201020220001.

It is a junction number, because it is equal to n+sod(n) for n = 1000220200989 and 1000220201007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6070998 + ... + 6233574.

It is an arithmetic number, because the mean of its divisors is an integer number (24704702568).

Almost surely, 21000220201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000220201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185825723264).

1000220201022 is an abundant number, since it is smaller than the sum of its proper divisors (1371431245506).

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

1000220201022 is a wasteful number, since it uses less digits than its factorization.

1000220201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162770 (or 162733 counting only the distinct ones).

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

Adding to 1000220201022 its reverse (2201020220001), we get a palindrome (3201240421023).

It can be divided in two parts, 1000 and 220201022, that added together give a palindrome (220202022).

The spelling of 1000220201022 in words is "one trillion, two hundred twenty million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 107 111 214 222 259 321 518 642 749 777 1369 1498 1554 2247 2738 3959 4107 4494 7918 8214 9583 11877 19166 23754 27713 28749 55426 57498 83139 146483 162577 166278 292966 325154 439449 487731 878898 975462 1025381 1138039 2050762 2276078 3076143 3414117 6015349 6152286 6828234 12030698 17395739 18046047 34791478 36092094 42107443 52187217 84214886 104374434 121770173 126322329 222567913 243540346 252644658 365310519 445135826 643642343 667703739 730621038 1287284686 1335407478 1557975391 1930927029 3115950782 3861854058 4505496401 4673926173 9010992802 9347852346 13516489203 23814766691 27032978406 47629533382 71444300073 142888600146 166703366837 333406733674 500110100511 1000220201022