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1011020022 = 233174612389
BaseRepresentation
bin111100010000101…
…111000011110110
32121110102010202000
4330100233003312
54032310120042
6244153400130
734024346145
oct7420570366
92543363660
101011020022
11479770341
12242709046
131315c80cc
14983b975c
155db5b74c
hex3c42f0f6

1011020022 has 64 divisors (see below), whose sum is σ = 2385028800. Its totient is φ = 316362240.

The previous prime is 1011020009. The next prime is 1011020027. The reversal of 1011020022 is 2200201101.

It is a super-2 number, since 2×10110200222 = 2044322969769760968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011019986 and 1011020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422004 + ... + 424392.

It is an arithmetic number, because the mean of its divisors is an integer number (37266075).

Almost surely, 21011020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192514400).

1011020022 is an abundant number, since it is smaller than the sum of its proper divisors (1374008778).

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

1011020022 is a wasteful number, since it uses less digits than its factorization.

1011020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2872 counting only the distinct ones).

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

The square root of 1011020022 is about 31796.5410382953. The cubic root of 1011020022 is about 1003.6599292429.

Adding to 1011020022 its reverse (2200201101), we get a palindrome (3211221123).

The spelling of 1011020022 in words is "one billion, eleven million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 461 918 922 1383 2389 2766 4149 4778 7167 7837 8298 12447 14334 15674 21501 23511 24894 40613 43002 47022 64503 70533 81226 121839 129006 141066 211599 243678 365517 423198 731034 1096551 1101329 2193102 2202658 3303987 6607974 9911961 18722593 19823922 29735883 37445186 56167779 59471766 112335558 168503337 337006674 505510011 1011020022