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1020001122 = 2327173115361
BaseRepresentation
bin111100110010111…
…111101101100010
32122002022102111100
4330302333231202
54042110013442
6245114055230
734163603130
oct7462775542
92562272440
101020001122
11483844a38
1224571a516
13133420c7a
1499676750
155e83284c
hex3ccbfb62

1020001122 has 96 divisors (see below), whose sum is σ = 2760735744. Its totient is φ = 265420800.

The previous prime is 1020001063. The next prime is 1020001133. The reversal of 1020001122 is 2211000201.

Adding to 1020001122 its reverse (2211000201), we get a palindrome (3231001323).

It is a Harshad number since it is a multiple of its sum of digits (9).

1020001122 is a modest number, since divided by 1122 gives 1020 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58722 + ... + 74082.

It is an arithmetic number, because the mean of its divisors is an integer number (28757664).

Almost surely, 21020001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380367872).

1020001122 is an abundant number, since it is smaller than the sum of its proper divisors (1740734622).

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

1020001122 is a wasteful number, since it uses less digits than its factorization.

1020001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15424 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020001122 is about 31937.4564109292. The cubic root of 1020001122 is about 1006.6230786550.

The spelling of 1020001122 in words is "one billion, twenty million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 3162 3689 3906 4743 7378 9486 11067 15361 22134 30722 33201 46083 66402 92166 107527 138249 215054 261137 276498 322581 476191 522274 645162 783411 952382 967743 1428573 1566822 1827959 1935486 2350233 2857146 3333337 3655918 4285719 4700466 5483877 6666674 8095247 8571438 10000011 10967754 16190494 16451631 20000022 24285741 30000033 32903262 48571482 56666729 60000066 72857223 113333458 145714446 170000187 340000374 510000561 1020001122