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1110020130144 = 25342931461599
BaseRepresentation
bin10000001001110010010…
…110110000010101100000
310221010011012201010020000
4100021302112300111200
5121141310123131034
62205534115420000
7143124222266652
oct20116226602540
93833135633200
101110020130144
11398836475092
1215b1675b4600
138089c9c3173
143ba2218a6d2
151dd1a4d8599
hex102725b0560

1110020130144 has 120 divisors (see below), whose sum is σ = 3275682379200. Its totient is φ = 368743636224.

The previous prime is 1110020130127. The next prime is 1110020130169. The reversal of 1110020130144 is 4410310200111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28657 + ... + 1490255.

It is an arithmetic number, because the mean of its divisors is an integer number (27297353160).

Almost surely, 21110020130144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110020130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637841189600).

1110020130144 is an abundant number, since it is smaller than the sum of its proper divisors (2165662249056).

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

1110020130144 is a wasteful number, since it uses less digits than its factorization.

1110020130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461914 (or 1461897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1110020130144 its reverse (4410310200111), we get a palindrome (5520330330255).

The spelling of 1110020130144 in words is "one trillion, one hundred ten billion, twenty million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 293 324 432 586 648 864 879 1172 1296 1758 2344 2592 2637 3516 4688 5274 7032 7911 9376 10548 14064 15822 21096 23733 28128 31644 42192 47466 63288 84384 94932 126576 189864 253152 379728 759456 1461599 2923198 4384797 5846396 8769594 11692792 13154391 17539188 23385584 26308782 35078376 39463173 46771168 52617564 70156752 78926346 105235128 118389519 140313504 157852692 210470256 236779038 315705384 420940512 428248507 473558076 631410768 856497014 947116152 1262821536 1284745521 1712994028 1894232304 2569491042 3425988056 3788464608 3854236563 5138982084 6851976112 7708473126 10277964168 11562709689 13703952224 15416946252 20555928336 23125419378 30833892504 34688129067 41111856672 46250838756 61667785008 69376258134 92501677512 123335570016 138752516268 185003355024 277505032536 370006710048 555010065072 1110020130144