Search a number
-
+
1110010210110 = 232553300177543
BaseRepresentation
bin10000001001110001110…
…000111010011100111110
310221010010112001010111100
4100021301300322130332
5121141300103210420
62205533123033530
7143124042052404
oct20116160723476
93833115033440
101110010210110
1139883090a00a
1215b16420b8a6
138089a92bb19
143ba20b27474
151dd196c9190
hex10271c3a73e

1110010210110 has 96 divisors (see below), whose sum is σ = 2941497643968. Its totient is φ = 290317248000.

The previous prime is 1110010210021. The next prime is 1110010210129. The reversal of 1110010210110 is 110120100111.

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 = 1110010210092 and 1110010210101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14275999 + ... + 14353541.

It is an arithmetic number, because the mean of its divisors is an integer number (30640600458).

Almost surely, 21110010210110 is an apocalyptic number.

1110010210110 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 1110010210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470748821984).

1110010210110 is an abundant number, since it is smaller than the sum of its proper divisors (1831487433858).

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

1110010210110 is a wasteful number, since it uses less digits than its factorization.

1110010210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80610 (or 80607 counting only the distinct ones).

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

Adding to 1110010210110 its reverse (110120100111), we get a palindrome (1220130310221).

The spelling of 1110010210110 in words is "one trillion, one hundred ten billion, ten million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 3001 4770 6002 9003 15005 18006 27009 30010 45015 54018 77543 90030 135045 155086 159053 232629 270090 318106 387715 465258 477159 697887 775430 795265 954318 1163145 1395774 1431477 1590530 2326290 2385795 2862954 3489435 4109779 4771590 6978870 7157385 8219558 12329337 14314770 20548895 24658674 36988011 41097790 61646685 73976022 123293370 184940055 232706543 369880110 465413086 698119629 1163532715 1396239258 2094358887 2327065430 3490598145 4188717774 6981196290 10471794435 12333446779 20943588870 24666893558 37000340337 61667233895 74000680674 111001021011 123334467790 185001701685 222002042022 370003403370 555005105055 1110010210110