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1110000112120 = 2352310115179111
BaseRepresentation
bin10000001001110001001…
…010011001000111111000
310221010002211001002122201
4100021301022121013320
5121141240012041440
62205532122355544
7143123560164244
oct20116112310770
93833084032581
101110000112120
11398826142269
1215b16095bbb4
1380898804793
143ba1d659424
151dd1888219a
hex102712991f8

1110000112120 has 128 divisors (see below), whose sum is σ = 2649353287680. Its totient is φ = 417700800000.

The previous prime is 1110000112093. The next prime is 1110000112121. The reversal of 1110000112120 is 212110000111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110000112097 and 1110000112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13991365 + ... + 14070475.

It is an arithmetic number, because the mean of its divisors is an integer number (20698072560).

Almost surely, 21110000112120 is an apocalyptic number.

1110000112120 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 1110000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324676643840).

1110000112120 is an abundant number, since it is smaller than the sum of its proper divisors (1539353175560).

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

1110000112120 is a wasteful number, since it uses less digits than its factorization.

1110000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79397 (or 79393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110000112120 its reverse (212110000111), we get a palindrome (1322110112231).

The spelling of 1110000112120 in words is "one trillion, one hundred ten billion, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 151 184 202 230 302 404 460 505 604 755 808 920 1010 1208 1510 2020 2323 3020 3473 4040 4646 6040 6946 9292 11615 13892 15251 17365 18584 23230 27784 30502 34730 46460 61004 69460 76255 79111 92920 122008 138920 152510 158222 305020 316444 350773 395555 610040 632888 701546 791110 1403092 1582220 1753865 1819553 2806184 3164440 3507730 3639106 7015460 7278212 7990211 9097765 11945761 14030920 14556424 15980422 18195530 23891522 31960844 36391060 39951055 47783044 59728805 63921688 72782120 79902110 95566088 119457610 159804220 183774853 238915220 274752503 319608440 367549706 477830440 549505006 735099412 918874265 1099010012 1206521861 1373762515 1470198824 1837748530 2198020024 2413043722 2747525030 3675497060 4826087444 5495050060 6032609305 7350994120 9652174888 10990100120 12065218610 24130437220 27750002803 48260874440 55500005606 111000011212 138750014015 222000022424 277500028030 555000056060 1110000112120