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1020353342202 = 234311511345541
BaseRepresentation
bin11101101100100011100…
…11000110101011111010
310121112201011211100010000
432312101303012223322
5113204140423422302
62100424401133430
7133501210210065
oct16662163065372
93545634740100
101020353342202
11363802952167
1214590232a276
13752acc299ac
14375576298dc
151b81d52b31c
hexed91cc6afa

1020353342202 has 80 divisors (see below), whose sum is σ = 2375732012544. Its totient is φ = 326966220000.

The previous prime is 1020353342201. The next prime is 1020353342219. The reversal of 1020353342202 is 2022433530201.

1020353342202 is a `hidden beast` number, since 1 + 0 + 203 + 5 + 33 + 422 + 0 + 2 = 666.

It is a super-4 number, since 4×10203533422024 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1020353342201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85552 + ... + 1431092.

Almost surely, 21020353342202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020353342202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187866006272).

1020353342202 is an abundant number, since it is smaller than the sum of its proper divisors (1355378670342).

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

1020353342202 is a wasteful number, since it uses less digits than its factorization.

1020353342202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345737 (or 1345728 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 1020353342202 its reverse (2022433530201), we get a palindrome (3042786872403).

The spelling of 1020353342202 in words is "one trillion, twenty billion, three hundred fifty-three million, three hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 151 162 186 279 302 453 558 837 906 1359 1674 2511 2718 4077 4681 5022 8154 9362 12231 14043 24462 28086 42129 84258 126387 252774 379161 758322 1345541 2691082 4036623 8073246 12109869 24219738 36329607 41711771 72659214 83423542 108988821 125135313 203176691 217977642 250270626 375405939 406353382 609530073 750811878 1126217817 1219060146 1828590219 2252435634 3378653451 3657180438 5485770657 6298477421 6757306902 10971541314 12596954842 16457311971 18895432263 32914623942 37790864526 56686296789 113372593578 170058890367 340117780734 510176671101 1020353342202