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1110111200010 = 233531147190163
BaseRepresentation
bin10000001001110111110…
…010001010001100001010
310221010101120001221121000
4100021313302022030022
5121142001431400020
62205551131355430
7143126406336531
oct20116762121412
93833346057530
101110111200010
1139888291723a
1215b191bb2b76
13808b582b067
143ba302d5318
151dd234c7090
hex10277c8a30a

1110111200010 has 128 divisors (see below), whose sum is σ = 3057901240320. Its totient is φ = 286282382400.

The previous prime is 1110111199993. The next prime is 1110111200021. The reversal of 1110111200010 is 100021110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110111199965 and 1110111200001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12267189 + ... + 12357351.

It is an arithmetic number, because the mean of its divisors is an integer number (23889853440).

Almost surely, 21110111200010 is an apocalyptic number.

1110111200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110111200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528950620160).

1110111200010 is an abundant number, since it is smaller than the sum of its proper divisors (1947790040310).

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

1110111200010 is a wasteful number, since it uses less digits than its factorization.

1110111200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91681 (or 91675 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110111200010 its reverse (100021110111), we get a palindrome (1210132310121).

The spelling of 1110111200010 in words is "one trillion, one hundred ten billion, one hundred eleven million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1471 1674 2790 2942 4185 4413 7355 8370 8826 13239 14710 22065 26478 39717 44130 45601 66195 79434 90163 91202 132390 136803 180326 198585 228005 270489 273606 397170 410409 450815 456010 540978 684015 811467 820818 901630 1231227 1352445 1368030 1622934 2052045 2434401 2462454 2704890 2795053 4057335 4104090 4868802 5590106 6156135 8114670 8385159 12172005 12312270 13975265 16770318 24344010 25155477 27950530 41925795 50310954 75466431 83851590 125777385 132629773 150932862 251554770 265259546 377332155 397889319 663148865 754664310 795778638 1193667957 1326297730 1989446595 2387335914 3581003871 3978893190 4111522963 5968339785 7162007742 8223045926 11936679570 12334568889 17905019355 20557614815 24669137778 35810038710 37003706667 41115229630 61672844445 74007413334 111011120001 123345688890 185018533335 222022240002 370037066670 555055600005 1110111200010