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111002211120020 = 22511282095587609
BaseRepresentation
bin11001001111010010110111…
…010111001111001110010100
3112120000201002221120202001012
4121033102313113033032110
5104022130012021320040
61032025413430151352
732244434161500623
oct3117226727171624
9476021087522035
10111002211120020
11324068563a0300
1210548b7bab2558
1349c2604692c2c
141d5a76dcbb6ba
15cc7650140865
hex64f4b75cf394

111002211120020 has 72 divisors (see below), whose sum is σ = 256253717466600. Its totient is φ = 40359516088320.

The previous prime is 111002211119981. The next prime is 111002211120061. The reversal of 111002211120020 is 20021112200111.

It can be written as a sum of positive squares in 4 ways, for example, as 7446065647504 + 103556145472516 = 2728748^2 + 10176254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111002211119977 and 111002211120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17071976 + ... + 22659584.

Almost surely, 2111002211120020 is an apocalyptic number.

111002211120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111002211120020 is an abundant number, since it is smaller than the sum of its proper divisors (145251506346580).

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

111002211120020 is a wasteful number, since it uses less digits than its factorization.

111002211120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595849 (or 5595836 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111002211120020 its reverse (20021112200111), we get a palindrome (131023323320131).

The spelling of 111002211120020 in words is "one hundred eleven trillion, two billion, two hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 8209 16418 32836 41045 82090 90299 164180 180598 361196 451495 902990 993289 1805980 1986578 3973156 4966445 5587609 9932890 11175218 19865780 22350436 27938045 55876090 61463699 111752180 122927398 245854796 307318495 614636990 676100689 1229273980 1352201378 2704402756 3380503445 6761006890 13522013780 45868682281 91737364562 183474729124 229343411405 458686822810 504555505091 917373645620 1009111010182 2018222020364 2522777525455 5045555050910 5550110556001 10091110101820 11100221112002 22200442224004 27750552780005 55501105560010 111002211120020