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110021200211020 = 225710313675581393
BaseRepresentation
bin11001000001000001001110…
…100011100110110001001100
3112102112220221121111002100211
4121001001032203212301030
5103410041404223223040
61025555012553532204
732113524622401130
oct3101011643466114
9472486847432324
10110021200211020
11320688022aa54a
121040aa19414064
134950c54515617
141d250a97ad3c0
15cabd85a0b8ea
hex64104e8e6c4c

110021200211020 has 96 divisors (see below), whose sum is σ = 266809565288448. Its totient is φ = 37327992486912.

The previous prime is 110021200211017. The next prime is 110021200211077. The reversal of 110021200211020 is 20112002120011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16921444 + ... + 22502836.

It is an arithmetic number, because the mean of its divisors is an integer number (2779266305088).

Almost surely, 2110021200211020 is an apocalyptic number.

110021200211020 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 110021200211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133404782644224).

110021200211020 is an abundant number, since it is smaller than the sum of its proper divisors (156788365077428).

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

110021200211020 is a wasteful number, since it uses less digits than its factorization.

110021200211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582879 (or 5582877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110021200211020 its reverse (20112002120011), we get a palindrome (130133202331031).

The spelling of 110021200211020 in words is "one hundred ten trillion, twenty-one billion, two hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1367 1442 2060 2734 2884 3605 5468 6835 7210 9569 13670 14420 19138 27340 38276 47845 95690 140801 191380 281602 563204 704005 985607 1408010 1971214 2816020 3942428 4928035 5581393 9856070 11162786 19712140 22325572 27906965 39069751 55813930 78139502 111627860 156279004 195348755 390697510 574883479 781395020 1149766958 2299533916 2874417395 4024184353 5748834790 7629764231 8048368706 11497669580 15259528462 16096737412 20120921765 30519056924 38148821155 40241843530 53408349617 76297642310 80483687060 106816699234 152595284620 213633398468 267041748085 534083496170 785865715793 1068166992340 1571731431586 3143462863172 3929328578965 5501060010551 7858657157930 11002120021102 15717314315860 22004240042204 27505300052755 55010600105510 110021200211020