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1020340444302 = 233113419399079
BaseRepresentation
bin11101101100100010000…
…01111001110010001110
310121112200021120001112000
432312101001321302032
5113204124123204202
62100423220453130
7133500662450634
oct16662101716216
93545607501460
101020340444302
113637a6642843
121458b9b4a1a6
13752aa3620ba
1437555a2d354
151b81c32e91c
hexed91079c8e

1020340444302 has 64 divisors (see below), whose sum is σ = 2292954048000. Its totient is φ = 336298241664.

The previous prime is 1020340444289. The next prime is 1020340444303. The reversal of 1020340444302 is 2034440430201.

It is a happy number.

1020340444302 is a `hidden beast` number, since 10 + 2 + 0 + 340 + 4 + 4 + 4 + 302 = 666.

1020340444302 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020340444303) 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, 2357199 + ... + 2756277.

It is an arithmetic number, because the mean of its divisors is an integer number (35827407000).

Almost surely, 21020340444302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020340444302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146477024000).

1020340444302 is an abundant number, since it is smaller than the sum of its proper divisors (1272613603698).

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

1020340444302 is a wasteful number, since it uses less digits than its factorization.

1020340444302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399622 (or 399616 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1020340444302 its reverse (2034440430201), we get a palindrome (3054780874503).

The spelling of 1020340444302 in words is "one trillion, twenty billion, three hundred forty million, four hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 419 678 838 1017 1257 2034 2514 3051 3771 6102 7542 11313 22626 47347 94694 142041 284082 399079 426123 798158 852246 1197237 1278369 2394474 2556738 3591711 7183422 10775133 21550266 45095927 90191854 135287781 167214101 270575562 334428202 405863343 501642303 811726686 1003284606 1217590029 1504926909 2435180058 3009853818 4514780727 9029561454 18895193413 37790386826 56685580239 113371160478 170056740717 340113481434 510170222151 1020340444302