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1020330300312 = 233241933821609
BaseRepresentation
bin11101101100100000110…
…11001101001110011000
310121112122120110200120200
432312100123031032120
5113204114024102222
62100422215222200
7133500510311421
oct16662033151630
93545576420520
101020330300312
113637a0944484
121458b6677960
13752a821cb3b
143755454c648
151b81b4c8eac
hexed906cd398

1020330300312 has 48 divisors (see below), whose sum is σ = 2769989859000. Its totient is φ = 339298371456.

The previous prime is 1020330300271. The next prime is 1020330300359. The reversal of 1020330300312 is 2130030330201.

1020330300312 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 330 + 300 + 31 + 2 = 666.

1020330300312 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 super-2 number, since 2×10203303003122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16880637 + ... + 16940972.

Almost surely, 21020330300312 is an apocalyptic number.

1020330300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020330300312 is an abundant number, since it is smaller than the sum of its proper divisors (1749659558688).

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

1020330300312 is a wasteful number, since it uses less digits than its factorization.

1020330300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33822040 (or 33822033 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1020330300312 its reverse (2130030330201), we get a palindrome (3150360630513).

The spelling of 1020330300312 in words is "one trillion, twenty billion, three hundred thirty million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 419 838 1257 1676 2514 3352 3771 5028 7542 10056 15084 30168 33821609 67643218 101464827 135286436 202929654 270572872 304394481 405859308 608788962 811718616 1217577924 2435155848 14171254171 28342508342 42513762513 56685016684 85027525026 113370033368 127541287539 170055050052 255082575078 340110100104 510165150156 1020330300312