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1020311302230 = 234511229500057
BaseRepresentation
bin11101101100011110100…
…10101111000001010110
310121112121020201111010000
432312033102233001112
5113204044143132410
62100420300112130
7133500156654423
oct16661722570126
93545536644100
101020311302230
11363791148990
121458b0235646
13752a42ca77c
1437551c04d4a
151b8199c4dc0
hexed8f4af056

1020311302230 has 160 divisors (see below), whose sum is σ = 3005988654240. Its totient is φ = 246267578880.

The previous prime is 1020311302223. The next prime is 1020311302253. The reversal of 1020311302230 is 322031130201.

1020311302230 is a `hidden beast` number, since 1 + 0 + 20 + 311 + 302 + 2 + 30 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1790362 + ... + 2290418.

It is an arithmetic number, because the mean of its divisors is an integer number (18787429089).

Almost surely, 21020311302230 is an apocalyptic number.

1020311302230 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 1020311302230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502994327120).

1020311302230 is an abundant number, since it is smaller than the sum of its proper divisors (1985677352010).

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

1020311302230 is a wasteful number, since it uses less digits than its factorization.

1020311302230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500316 (or 500307 counting only the distinct ones).

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

Adding to 1020311302230 its reverse (322031130201), we get a palindrome (1342342432431).

The spelling of 1020311302230 in words is "one trillion, twenty billion, three hundred eleven million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 229 270 297 330 405 458 495 594 687 810 891 990 1145 1374 1485 1782 2061 2290 2519 2970 3435 4122 4455 5038 6183 6870 7557 8910 10305 12366 12595 15114 18549 20610 22671 25190 30915 37098 37785 45342 61830 68013 75570 92745 113355 136026 185490 204039 226710 340065 408078 500057 680130 1000114 1020195 1500171 2040390 2500285 3000342 4500513 5000570 5500627 7500855 9001026 11001254 13501539 15001710 16501881 22502565 27003078 27503135 33003762 40504617 45005130 49505643 55006270 67507695 81009234 82509405 99011286 114513053 135015390 148516929 165018810 202523085 229026106 247528215 297033858 343539159 405046170 445550787 495056430 572565265 687078318 742584645 891101574 1030617477 1145130530 1259643583 1485169290 1717695795 2061234954 2227753935 2519287166 3091852431 3435391590 3778930749 4455507870 5153087385 6183704862 6298217915 7557861498 9275557293 10306174770 11336792247 12596435830 15459262155 18551114586 18894653745 22673584494 30918524310 34010376741 37789307490 46377786465 56683961235 68020753482 92755572930 102031130223 113367922470 170051883705 204062260446 340103767410 510155651115 1020311302230