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1020202023000 = 233532677127033
BaseRepresentation
bin11101101100010001100…
…01110111100001011000
310121112022122002112012010
432312020301313201120
5113203333204214000
62100401353545520
7133464362054166
oct16661061674130
93545278075163
101020202023000
11363735499876
1214587b7152a0
13752877884c4
14375414ba236
151b8100dad50
hexed88c77858

1020202023000 has 128 divisors (see below), whose sum is σ = 3184244406720. Its totient is φ = 271950105600.

The previous prime is 1020202022999. The next prime is 1020202023073. The reversal of 1020202023000 is 3202020201.

1020202023000 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7967484 + ... + 8094516.

Almost surely, 21020202023000 is an apocalyptic number.

1020202023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020202023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592122203360).

1020202023000 is an abundant number, since it is smaller than the sum of its proper divisors (2164042383720).

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

1020202023000 is a wasteful number, since it uses less digits than its factorization.

1020202023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129734 (or 129720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1020202023000 its reverse (3202020201), we get a palindrome (1023404043201).

The spelling of 1020202023000 in words is "one trillion, twenty billion, two hundred two million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2677 3000 5354 8031 10708 13385 16062 21416 26770 32124 40155 53540 64248 66925 80310 107080 127033 133850 160620 200775 254066 267700 321240 334625 381099 401550 508132 535400 635165 669250 762198 803100 1003875 1016264 1270330 1338500 1524396 1606200 1905495 2007750 2540660 2677000 3048792 3175825 3810990 4015500 5081320 6351650 7621980 8031000 9527475 12703300 15243960 15879125 19054950 25406600 31758250 38109900 47637375 63516500 76219800 95274750 127033000 190549500 340067341 381099000 680134682 1020202023 1360269364 1700336705 2040404046 2720538728 3400673410 4080808092 5101010115 6801346820 8161616184 8501683525 10202020230 13602693640 17003367050 20404040460 25505050575 34006734100 40808080920 42508417625 51010101150 68013468200 85016835250 102020202300 127525252875 170033670500 204040404600 255050505750 340067341000 510101011500 1020202023000