Search a number
-
+
20122120111100 = 2252710722510777
BaseRepresentation
bin1001001001101000010111…
…10100100100001111111100
32122020122201010222220211112
410210310023310210033330
510114140100222023400
6110443550243541152
74144526615602130
oct444641364441774
978218633886745
1020122120111100
11645881a246a97
12230b97538a7b8
13b2c67a7aaac7
144d7cb6da73c0
1524d651027835
hex124d0bd243fc

20122120111100 has 108 divisors (see below), whose sum is σ = 50373618496656. Its totient is φ = 6834533134080.

The previous prime is 20122120111081. The next prime is 20122120111139. The reversal of 20122120111100 is 111102122102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6758912 + ... + 9269688.

Almost surely, 220122120111100 is an apocalyptic number.

20122120111100 is a gapful number since it is divisible by the number (20) 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 20122120111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25186809248328).

20122120111100 is an abundant number, since it is smaller than the sum of its proper divisors (30251498385556).

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

20122120111100 is a wasteful number, since it uses less digits than its factorization.

20122120111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511012 (or 2510898 counting only the distinct ones).

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

Adding to 20122120111100 its reverse (111102122102), we get a palindrome (20233222233202).

The spelling of 20122120111100 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1070 1498 2140 2675 2996 3745 5350 7490 10700 11449 14980 18725 22898 37450 45796 57245 74900 80143 114490 160286 228980 286225 320572 400715 572450 801430 1144900 1602860 2003575 2510777 4007150 5021554 8014300 10043108 12553885 17575439 25107770 35150878 50215540 62769425 70301756 87877195 125538850 175754390 251077700 268653139 351508780 439385975 537306278 878771950 1074612556 1343265695 1757543900 1880571973 2686531390 3761143946 5373062780 6716328475 7522287892 9402859865 13432656950 18805719730 26865313900 28745885873 37611439460 47014299325 57491771746 94028598650 114983543492 143729429365 188057197300 201221201111 287458858730 402442402222 574917717460 718647146825 804884804444 1006106005555 1437294293650 2012212011110 2874588587300 4024424022220 5030530027775 10061060055550 20122120111100