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20103121220020 = 22519443136787359
BaseRepresentation
bin1001001001000100111110…
…11001100011000110110100
32122011211200002020020211221
410210202133121203012310
510113332143013020040
6110431125115440124
74143255040645126
oct444423731430664
978154602206757
1020103121220020
11645075a928a13
122308152756044
13b2a94063b017
144d6dd3a3b216
1524cddd10b74a
hex12489f6631b4

20103121220020 has 96 divisors (see below), whose sum is σ = 44571882700800. Its totient is φ = 7595181270144.

The previous prime is 20103121220003. The next prime is 20103121220047. The reversal of 20103121220020 is 2002212130102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20103121219976 and 20103121220003.

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, 230077101 + ... + 230164459.

It is an arithmetic number, because the mean of its divisors is an integer number (464290444800).

Almost surely, 220103121220020 is an apocalyptic number.

20103121220020 is a gapful number since it is divisible by the number (20) 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 20103121220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285941350400).

20103121220020 is an abundant number, since it is smaller than the sum of its proper divisors (24468761480780).

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

20103121220020 is a wasteful number, since it uses less digits than its factorization.

20103121220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89197 (or 89195 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20103121220020 its reverse (2002212130102), we get a palindrome (22105333350122).

The spelling of 20103121220020 in words is "twenty trillion, one hundred three billion, one hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 443 886 1367 1772 2215 2734 4430 5468 6835 8417 8860 13670 16834 25973 27340 33668 42085 51946 84170 87359 103892 129865 168340 174718 259730 349436 436795 519460 605581 873590 1211162 1659821 1747180 2422324 3027905 3319642 6055810 6639284 8299105 11506039 12111620 16598210 23012078 33196420 38700037 46024156 57530195 77400074 115060390 119419753 154800148 193500185 230120780 238839506 387000370 477679012 597098765 735300703 774000740 1194197530 1470601406 2268975307 2388395060 2941202812 3676503515 4537950614 7353007030 9075901228 11344876535 14706014060 22689753070 45379506140 52902950579 105805901158 211611802316 264514752895 529029505790 1005156061001 1058059011580 2010312122002 4020624244004 5025780305005 10051560610010 20103121220020