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10001102022020 = 22525734755710067
BaseRepresentation
bin1001000110001001000000…
…1000100010010110000100
31022102002120222212202211202
42101202100020202112010
52302324224104201040
633134235353122032
72051361426361424
oct221422010422604
938362528782752
1010001102022020
1132064973aa51a
1211563449b9318
1357713b566665
142680ad636484
15125241a78015
hex91890222584

10001102022020 has 96 divisors (see below), whose sum is σ = 21184862332032. Its totient is φ = 3965863559168.

The previous prime is 10001102022019. The next prime is 10001102022047. The reversal of 10001102022020 is 2022020110001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10001102021992 and 10001102022010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993449027 + ... + 993459093.

It is an arithmetic number, because the mean of its divisors is an integer number (220675649292).

Almost surely, 210001102022020 is an apocalyptic number.

10001102022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001102022020 is an abundant number, since it is smaller than the sum of its proper divisors (11183760310012).

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

10001102022020 is a wasteful number, since it uses less digits than its factorization.

10001102022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10001102022020 its reverse (2022020110001), we get a palindrome (12023122132021).

The spelling of 10001102022020 in words is "ten trillion, one billion, one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 257 347 514 557 694 1028 1114 1285 1388 1735 2228 2570 2785 3470 5140 5570 6940 10067 11140 20134 40268 50335 89179 100670 143149 178358 193279 201340 286298 356716 386558 445895 572596 715745 773116 891790 966395 1431490 1783580 1932790 2587219 2862980 3493249 3865580 5174438 5607319 6986498 10348876 11214638 12936095 13972996 17466245 22429276 25872190 28036595 34932490 49672703 51744380 56073190 69864980 99345406 112146380 198690812 248363515 496727030 897764993 993454060 1441080983 1795529986 1945739693 2882161966 3591059972 3891479386 4488824965 5764323932 7205404915 7782958772 8977649930 9728698465 14410809830 17955299860 19457396930 28821619660 38914793860 500055101101 1000110202202 2000220404404 2500275505505 5000551011010 10001102022020