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1120011010110 = 2325411091278209
BaseRepresentation
bin10000010011000101110…
…110111100000000111110
310222001221111022102000100
4100103011312330000332
5121322240304310420
62214305334541530
7143626626335616
oct20230566740076
93861844272010
101120011010110
113a1aa3020083
121610955078a6
1381802839465
143c2cd017a46
151e202694190
hex104c5dbc03e

1120011010110 has 96 divisors (see below), whose sum is σ = 2985798684960. Its totient is φ = 291116851200.

The previous prime is 1120011010109. The next prime is 1120011010127. The reversal of 1120011010110 is 110101100211.

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 = 1120011010092 and 1120011010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886686 + ... + 4164894.

It is an arithmetic number, because the mean of its divisors is an integer number (31102069635).

Almost surely, 21120011010110 is an apocalyptic number.

1120011010110 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 1120011010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492899342480).

1120011010110 is an abundant number, since it is smaller than the sum of its proper divisors (1865787674850).

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

1120011010110 is a wasteful number, since it uses less digits than its factorization.

1120011010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279354 (or 279351 counting only the distinct ones).

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

Adding to 1120011010110 its reverse (110101100211), we get a palindrome (1230112110321).

The spelling of 1120011010110 in words is "one trillion, one hundred twenty billion, eleven million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1091 1230 1845 2182 3273 3690 5455 6546 9819 10910 16365 19638 32730 44731 49095 89462 98190 134193 223655 268386 278209 402579 447310 556418 670965 805158 834627 1341930 1391045 1669254 2012895 2503881 2782090 4025790 4173135 5007762 8346270 11406569 12519405 22813138 25038810 34219707 57032845 68439414 102659121 114065690 171098535 205318242 303526019 342197070 513295605 607052038 910578057 1026591210 1517630095 1821156114 2731734171 3035260190 4552890285 5463468342 9105780570 12444566779 13658670855 24889133558 27317341710 37333700337 62222833895 74667400674 112001101011 124445667790 186668501685 224002202022 373337003370 560005505055 1120011010110