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1020023112330 = 23452943423717
BaseRepresentation
bin11101101011111100001…
…11011000001010001010
310121111212011102220220000
432311332013120022022
5113203001404043310
62100331523143430
7133460060253555
oct16657607301212
93544764386800
101020023112330
11363653500612
1214582b814b76
13752596a63c1
143752582769c
151b7ee54a4c0
hexed7e1d828a

1020023112330 has 80 divisors (see below), whose sum is σ = 2837305734120. Its totient is φ = 262626634368.

The previous prime is 1020023112307. The next prime is 1020023112341. The reversal of 1020023112330 is 332113200201.

1020023112330 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 2 + 311 + 2 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 996616866249 + 23406246081 = 998307^2 + 152991^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21688369 + ... + 21735348.

Almost surely, 21020023112330 is an apocalyptic number.

1020023112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020023112330 is an abundant number, since it is smaller than the sum of its proper divisors (1817282621790).

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

1020023112330 is a wasteful number, since it uses less digits than its factorization.

1020023112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43423765 (or 43423756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020023112330 its reverse (332113200201), we get a palindrome (1352136312531).

The spelling of 1020023112330 in words is "one trillion, twenty billion, twenty-three million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 43423717 86847434 130271151 217118585 260542302 390813453 434237170 651355755 781626906 1172440359 1259287793 1302711510 1954067265 2344880718 2518575586 3517321077 3777863379 3908134530 5862201795 6296438965 7034642154 7555726758 11333590137 11724403590 12592877930 17586605385 18889316895 22667180274 34000770411 35173210770 37778633790 56667950685 68001540822 102002311233 113335901370 170003852055 204004622466 340007704110 510011556165 1020023112330