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110044011220 = 2251113131293717
BaseRepresentation
bin110011001111100100…
…0100101101011010100
3101112001011012222102021
41212133020211223110
53300332231324340
6122315321022524
710643664443023
oct1463710455324
9345034188367
10110044011220
114273aa80420
12193b1624a44
13a4b9669450
14547cd9c8ba
152ce0ddce4a
hex199f225ad4

110044011220 has 96 divisors (see below), whose sum is σ = 273566595456. Its totient is φ = 36655756800.

The previous prime is 110044011211. The next prime is 110044011269. The reversal of 110044011220 is 22110440011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110044011194 and 110044011203.

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 31 ways as a sum of consecutive naturals, for example, 227802 + ... + 521518.

It is an arithmetic number, because the mean of its divisors is an integer number (2849652036).

Almost surely, 2110044011220 is an apocalyptic number.

110044011220 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 110044011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136783297728).

110044011220 is an abundant number, since it is smaller than the sum of its proper divisors (163522584236).

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

110044011220 is a wasteful number, since it uses less digits than its factorization.

110044011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293881 (or 293879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110044011220 its reverse (22110440011), we get a palindrome (132154451231).

The spelling of 110044011220 in words is "one hundred ten billion, forty-four million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 131 143 220 260 262 286 524 572 655 715 1310 1430 1441 1703 2620 2860 2882 3406 5764 6812 7205 8515 14410 17030 18733 28820 34060 37466 74932 93665 187330 293717 374660 587434 1174868 1468585 2937170 3230887 3818321 5874340 6461774 7636642 12923548 15273284 16154435 19091605 32308870 38183210 38476927 42001531 64617740 76366420 76953854 84003062 153907708 168006124 192384635 210007655 384769270 420015310 423246197 500200051 769538540 840030620 846492394 1000400102 1692984788 2000800204 2116230985 2501000255 4232461970 5002000510 5502200561 8464923940 10004001020 11004401122 22008802244 27511002805 55022005610 110044011220