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11110211100020 = 22519733737322433
BaseRepresentation
bin1010000110101100110000…
…1011111001110101110100
31110100010101201021122110202
42201223030023321311310
52424012203020200040
635343543245540032
72224454250111614
oct241531413716564
943303351248422
1011110211100020
1135a38a558364a
1212b5297274618
136278c45936c6
142a5a467caa44
151440070a0015
hexa1acc2f9d74

11110211100020 has 96 divisors (see below), whose sum is σ = 23583567335328. Its totient is φ = 4396390612992.

The previous prime is 11110211099969. The next prime is 11110211100031. The reversal of 11110211100020 is 2000111201111.

It can be written as a sum of positive squares in 16 ways, for example, as 28858384 + 11110182241636 = 5372^2 + 3333194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11110211099974 and 11110211100010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495250724 + ... + 495273156.

It is an arithmetic number, because the mean of its divisors is an integer number (245662159743).

Almost surely, 211110211100020 is an apocalyptic number.

11110211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110211100020 is an abundant number, since it is smaller than the sum of its proper divisors (12473356235308).

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

11110211100020 is a wasteful number, since it uses less digits than its factorization.

11110211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23349 (or 23347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11110211100020 its reverse (2000111201111), we get a palindrome (13110322301131).

The spelling of 11110211100020 in words is "eleven trillion, one hundred ten billion, two hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 197 337 373 394 674 746 788 985 1348 1492 1685 1865 1970 3370 3730 3940 6740 7460 22433 44866 66389 73481 89732 112165 125701 132778 146962 224330 251402 265556 293924 331945 367405 448660 502804 628505 663890 734810 1257010 1327780 1469620 2514020 4419301 7559921 8367509 8838602 15119842 16735018 17677204 22096505 24763097 30239684 33470036 37799605 41837545 44193010 49526194 75599210 83675090 88386020 99052388 123815485 151198420 167350180 247630970 495261940 1489304437 1648399273 2819850533 2978608874 3296798546 5639701066 5957217748 6593597092 7446522185 8241996365 11279402132 14099252665 14893044370 16483992730 28198505330 29786088740 32967985460 56397010660 555510555001 1111021110002 2222042220004 2777552775005 5555105550010 11110211100020