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20111120011110 = 235311011671282081
BaseRepresentation
bin1001001001010011111000…
…01010100000111101100110
32122012121022112100221102210
410210221330022200331212
510114000033210323420
6110434530533344250
74143660205361562
oct444517412407546
978177275327383
1020111120011110
116454094a50067
122309805498086
13b2b616849abb
144d75520ac6a2
1524d20a4689e0
hex124a7c2a0f66

20111120011110 has 128 divisors (see below), whose sum is σ = 50618320478208. Its totient is φ = 5107806720000.

The previous prime is 20111120011069. The next prime is 20111120011117. The reversal of 20111120011110 is 1111002111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111120011117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15045270 + ... + 16327350.

It is an arithmetic number, because the mean of its divisors is an integer number (395455628736).

Almost surely, 220111120011110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111120011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309160239104).

20111120011110 is an abundant number, since it is smaller than the sum of its proper divisors (30507200467098).

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

20111120011110 is a wasteful number, since it uses less digits than its factorization.

20111120011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282390.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 20111120011110 its reverse (1111002111102), we get a palindrome (21222122122212).

The spelling of 20111120011110 in words is "twenty trillion, one hundred eleven billion, one hundred twenty million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 167 186 202 303 310 334 465 501 505 606 835 930 1002 1010 1515 1670 2505 3030 3131 5010 5177 6262 9393 10354 15531 15655 16867 18786 25885 31062 31310 33734 46965 50601 51770 77655 84335 93930 101202 155310 168670 253005 506010 522877 1045754 1282081 1568631 2564162 2614385 3137262 3846243 5228770 6410405 7692486 7843155 12820810 15686310 19231215 38462430 39744511 79489022 119233533 129490181 198722555 214107527 238467066 258980362 388470543 397445110 428215054 596167665 642322581 647450905 776941086 1070537635 1192335330 1284645162 1294901810 1942352715 2141075270 3211612905 3884705430 4014195611 6423225810 6637333337 8028391222 12042586833 13274666674 19912000011 20070978055 21624860227 24085173666 33186666685 39824000022 40141956110 43249720454 60212934165 64874580681 66373333370 99560000055 108124301135 120425868330 129749161362 199120000110 216248602270 324372903405 648745806810 670370667037 1340741334074 2011112001111 3351853335185 4022224002222 6703706670370 10055560005555 20111120011110