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1021022122000 = 245311313134487
BaseRepresentation
bin11101101101110011010…
…10010011000000010000
310121121102210020212112011
432312321222103000100
5113212023130401000
62101015011312304
7133523610561316
oct16667152230020
93547383225464
101021022122000
11364016408341
12145a6a2ab694
137538865789a
14375bc3980b6
151b85c0d32ba
hexedb9a93010

1021022122000 has 160 divisors (see below), whose sum is σ = 2509765150464. Its totient is φ = 401692928000.

The previous prime is 1021022121971. The next prime is 1021022122009. The reversal of 1021022122000 is 2212201201.

It is a happy number.

It is a super-2 number, since 2×10210221220002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021022122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29588757 + ... + 29623243.

Almost surely, 21021022122000 is an apocalyptic number.

1021022122000 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 1021022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254882575232).

1021022122000 is an abundant number, since it is smaller than the sum of its proper divisors (1488743028464).

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

1021022122000 is a wasteful number, since it uses less digits than its factorization.

1021022122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34754 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1021022122000 its reverse (2212201201), we get a palindrome (1023234323201).

The spelling of 1021022122000 in words is "one trillion, twenty-one billion, twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 131 200 226 250 262 400 452 500 524 565 655 904 1000 1048 1130 1310 1808 2000 2096 2260 2620 2825 3275 4520 5240 5650 6550 9040 10480 11300 13100 14125 14803 16375 22600 26200 28250 29606 32750 34487 45200 52400 56500 59212 65500 68974 74015 113000 118424 131000 137948 148030 172435 226000 236848 262000 275896 296060 344870 370075 551792 592120 689740 740150 862175 1184240 1379480 1480300 1724350 1850375 2758960 2960600 3448700 3700750 3897031 4310875 4517797 5921200 6897400 7401500 7794062 8621750 9035594 13794800 14803000 15588124 17243500 18071188 19485155 22588985 29606000 31176248 34487000 36142376 38970310 45177970 62352496 68974000 72284752 77940620 90355940 97425775 112944925 155881240 180711880 194851550 225889850 311762480 361423760 389703100 451779700 487128875 510511061 564724625 779406200 903559400 974257750 1021022122 1129449250 1558812400 1807118800 1948515500 2042044244 2258898500 2552555305 3897031000 4084088488 4517797000 5105110610 7794062000 8168176976 9035594000 10210221220 12762776525 20420442440 25525553050 40840884880 51051106100 63813882625 102102212200 127627765250 204204424400 255255530500 510511061000 1021022122000