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10020110110020 = 22335178710383749
BaseRepresentation
bin1001000111001111110100…
…0110101000110101000100
31022110220122200221200122000
42101303331012220311010
52303132141142010040
633151101450305300
72052633445431543
oct221637506506504
938426580850560
1010020110110020
113213560a2a35a
121159b6a728230
13578b7a5a65ca
14268d93cb815a
151259a56ae130
hex91cfd1a8d44

10020110110020 has 96 divisors (see below), whose sum is σ = 31191123600000. Its totient is φ = 2670533845632.

The previous prime is 10020110109967. The next prime is 10020110110027. The reversal of 10020110110020 is 2001101102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020110109984 and 10020110110011.

It is not an unprimeable number, because it can be changed into a prime (10020110110027) 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, 4226895 + ... + 6156854.

It is an arithmetic number, because the mean of its divisors is an integer number (324907537500).

Almost surely, 210020110110020 is an apocalyptic number.

10020110110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020110110020 is an abundant number, since it is smaller than the sum of its proper divisors (21171013489980).

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

10020110110020 is a wasteful number, since it uses less digits than its factorization.

10020110110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385554 (or 10385546 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020110110020 its reverse (2001101102001), we get a palindrome (12021211212021).

The spelling of 10020110110020 in words is "ten trillion, twenty billion, one hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1787 3574 5361 7148 8935 10722 16083 17870 21444 26805 32166 35740 48249 53610 64332 80415 96498 107220 160830 192996 241245 321660 482490 964980 10383749 20767498 31151247 41534996 51918745 62302494 93453741 103837490 124604988 155756235 186907482 207674980 280361223 311512470 373814964 467268705 560722446 623024940 934537410 1121444892 1401806115 1869074820 2803612230 5607224460 18555759463 37111518926 55667278389 74223037852 92778797315 111334556778 167001835167 185557594630 222669113556 278336391945 334003670334 371115189260 501005505501 556672783890 668007340668 835009175835 1002011011002 1113345567780 1670018351670 2004022022004 2505027527505 3340036703340 5010055055010 10020110110020