Search a number
-
+
1000001110110 = 235374322879161
BaseRepresentation
bin11101000110101001011…
…01100000000001011110
310112121011210111211021020
432203110231200001132
5112341000241010420
62043221050145010
7132150650121342
oct16432455400136
93477153454236
101000001110110
11356109613a42
12141982422166
13733b8596c02
1436586655622
151b02b8d5340
hexe8d4b6005e

1000001110110 has 128 divisors (see below), whose sum is σ = 2523568379904. Its totient is φ = 253287336960.

The previous prime is 1000001110109. The next prime is 1000001110133. The reversal of 1000001110110 is 110111000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109153930 + ... + 109163090.

It is an arithmetic number, because the mean of its divisors is an integer number (19715377968).

Almost surely, 21000001110110 is an apocalyptic number.

1000001110110 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 1000001110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261784189952).

1000001110110 is an abundant number, since it is smaller than the sum of its proper divisors (1523567269794).

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

1000001110110 is a wasteful number, since it uses less digits than its factorization.

1000001110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000001110110 its reverse (110111000001), we get a palindrome (1110112110111).

It can be divided in two parts, 1000001 and 110110, that added together give a palindrome (1110111).

The spelling of 1000001110110 in words is "one trillion, one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 43 74 86 111 129 185 215 222 258 370 430 555 645 1110 1290 1591 2287 3182 4574 4773 6861 7955 9161 9546 11435 13722 15910 18322 22870 23865 27483 34305 45805 47730 54966 68610 84619 91610 98341 137415 169238 196682 253857 274830 295023 338957 393923 423095 491705 507714 590046 677914 787846 846190 983410 1016871 1181769 1269285 1475115 1694785 1969615 2033742 2363538 2538570 2950230 3389570 3638617 3939230 5084355 5908845 7277234 10168710 10915851 11817690 14575151 18193085 20951207 21831702 29150302 36386170 41902414 43725453 54579255 62853621 72875755 87450906 104756035 109158510 125707242 145751510 209512070 218627265 314268105 437254530 628536210 775194659 900901901 1550389318 1801803802 2325583977 2702705703 3875973295 4504509505 4651167954 5405411406 7751946590 9009019010 11627919885 13513528515 23255839770 27027057030 33333370337 66666740674 100000111011 166666851685 200000222022 333333703370 500000555055 1000001110110