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20112120110020 = 225531571117108193
BaseRepresentation
bin1001001001010101101111…
…10001100101101111000100
32122012200220020020020020011
410210222313301211233010
510114004110222010040
6110435214101120004
74144024041154051
oct444526761455704
978180806206204
1020112120110020
116454558531194
122309a443b9004
13b2b745abccc3
144d7608c44028
1524d2681693ea
hex124ab7c65bc4

20112120110020 has 96 divisors (see below), whose sum is σ = 43345609882848. Its totient is φ = 7835690483712.

The previous prime is 20112120109927. The next prime is 20112120110021. The reversal of 20112120110020 is 2001102121102.

It can be written as a sum of positive squares in 16 ways, for example, as 9336972477316 + 10775147632704 = 3055646^2 + 3282552^2 .

It is not an unprimeable number, because it can be changed into a prime (20112120110021) by changing a digit.

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, 185837044 + ... + 185945236.

It is an arithmetic number, because the mean of its divisors is an integer number (451516769613).

Almost surely, 220112120110020 is an apocalyptic number.

20112120110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112120110020 is an abundant number, since it is smaller than the sum of its proper divisors (23233489772828).

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

20112120110020 is a wasteful number, since it uses less digits than its factorization.

20112120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109529 (or 109527 counting only the distinct ones).

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

Adding to 20112120110020 its reverse (2001102121102), we get a palindrome (22113222231122).

The spelling of 20112120110020 in words is "twenty trillion, one hundred twelve billion, one hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 157 212 265 314 530 628 785 1060 1117 1570 2234 3140 4468 5585 8321 11170 16642 22340 33284 41605 59201 83210 108193 118402 166420 175369 216386 236804 296005 350738 432772 540965 592010 701476 876845 1081930 1184020 1753690 2163860 3507380 5734229 9294557 11468458 16986301 18589114 22936916 28671145 33972602 37178228 46472785 57342290 67945204 84931505 92945570 114684580 120851581 169863010 185891140 241703162 339726020 483406324 604257905 900273953 1208515810 1800547906 2417031620 3601095812 4501369765 6405133793 9002739530 12810267586 18005479060 18973698217 25620535172 32025668965 37947396434 64051337930 75894792868 94868491085 128102675860 189736982170 379473964340 1005606005501 2011212011002 4022424022004 5028030027505 10056060055010 20112120110020