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1020210313230 = 2325229148733289
BaseRepresentation
bin11101101100010010100…
…01011111100000001110
310121112100012200201020200
432312021101133200032
5113203342320010410
62100402251354330
7133464522403023
oct16661121374016
93545305621220
101020210313230
1136373a1413a9
121458824529a6
13752893cba74
143754263754a
151b810bc73c0
hexed8945f80e

1020210313230 has 96 divisors (see below), whose sum is σ = 2666001686400. Its totient is φ = 270677776896.

The previous prime is 1020210313219. The next prime is 1020210313253. The reversal of 1020210313230 is 323130120201.

1020210313230 is a `hidden beast` number, since 102 + 0 + 21 + 0 + 313 + 230 = 666.

1020210313230 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30630426 + ... + 30663714.

It is an arithmetic number, because the mean of its divisors is an integer number (27770850900).

Almost surely, 21020210313230 is an apocalyptic number.

1020210313230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020210313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333000843200).

1020210313230 is an abundant number, since it is smaller than the sum of its proper divisors (1645791373170).

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

1020210313230 is a wasteful number, since it uses less digits than its factorization.

1020210313230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35018 (or 35015 counting only the distinct ones).

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

Adding to 1020210313230 its reverse (323130120201), we get a palindrome (1343340433431).

The spelling of 1020210313230 in words is "one trillion, twenty billion, two hundred ten million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 1487 2061 2290 2974 3435 4122 4461 6870 7435 8922 10305 13383 14870 20610 22305 26766 33289 44610 66578 66915 99867 133830 166445 199734 299601 332890 340523 499335 599202 681046 998670 1021569 1498005 1702615 2043138 2996010 3064707 3405230 5107845 6129414 7623181 10215690 15246362 15323535 22869543 30647070 38115905 45739086 49500743 68608629 76231810 99001486 114347715 137217258 148502229 228695430 247503715 297004458 343043145 445506687 495007430 686086290 742511145 891013374 1485022290 2227533435 4455066870 11335670147 22671340294 34007010441 56678350735 68014020882 102021031323 113356701470 170035052205 204042062646 340070104410 510105156615 1020210313230