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110002011011020 = 2251713919112186347
BaseRepresentation
bin11001000000101111010110…
…110010100111011111001100
3112102111002102021121201121201
4121000233112302213133030
5103404233104304323040
61025542120510435244
732112245244031462
oct3100572662473714
9472432367551551
10110002011011020
1132060655518577
1210407162b02b24
13494c1b6b025cb
141d241a9064832
15cab61104ca9a
hex640bd6ca77cc

110002011011020 has 96 divisors (see below), whose sum is σ = 247642189885440. Its totient is φ = 40899326991360.

The previous prime is 110002011010963. The next prime is 110002011011093. The reversal of 110002011011020 is 20110110200011.

It is a super-2 number, since 2×1100020110110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110002011010988 and 110002011011006.

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, 2933487 + ... + 15119833.

It is an arithmetic number, because the mean of its divisors is an integer number (2579606144640).

Almost surely, 2110002011011020 is an apocalyptic number.

110002011011020 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 110002011011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123821094942720).

110002011011020 is an abundant number, since it is smaller than the sum of its proper divisors (137640178874420).

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

110002011011020 is a wasteful number, since it uses less digits than its factorization.

110002011011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186703 (or 12186701 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110002011011020 its reverse (20110110200011), we get a palindrome (130112121211031).

The spelling of 110002011011020 in words is "one hundred ten trillion, two billion, eleven million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 191 278 340 382 556 695 764 955 1390 1910 2363 2780 3247 3820 4726 6494 9452 11815 12988 16235 23630 26549 32470 47260 53098 64940 106196 132745 265490 451333 530980 902666 1805332 2256665 4513330 9026660 12186347 24372694 48745388 60931735 121863470 207167899 243726940 414335798 828671596 1035839495 1693902233 2071678990 2327592277 3387804466 4143357980 4655184554 6775608932 8469511165 9310369108 11637961385 16939022330 23275922770 28796337961 33878044660 39569068709 46551845540 57592675922 79138137418 115185351844 143981689805 158276274836 197845343545 287963379610 323535326503 395690687090 575926759220 647070653006 791381374180 1294141306012 1617676632515 3235353265030 5500100550551 6470706530060 11000201101102 22000402202204 27500502752755 55001005505510 110002011011020