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2114301104532 = 2234181186119373
BaseRepresentation
bin11110110001000110001…
…010101001000110010100
321111010101021112120120000
4132301012022221012110
5234120042040321112
64255144014211300
7305516231601621
oct36610612510624
97433337476500
102114301104532
11745740943441
122a19231b3b30
131244bab79436
1474492da7348
1539ee79c67dc
hex1ec462a9194

2114301104532 has 120 divisors (see below), whose sum is σ = 5561011207752. Its totient is φ = 700460524800.

The previous prime is 2114301104479. The next prime is 2114301104561. The reversal of 2114301104532 is 2354011034112.

2114301104532 is a `hidden beast` number, since 2 + 1 + 14 + 3 + 0 + 110 + 4 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 372629668356 + 1741671436176 = 610434^2 + 1319724^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2114301104496 and 2114301104505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109126798 + ... + 109146170.

Almost surely, 22114301104532 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 2114301104532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780505603876).

2114301104532 is an abundant number, since it is smaller than the sum of its proper divisors (3446710103220).

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

2114301104532 is a wasteful number, since it uses less digits than its factorization.

2114301104532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21431 (or 21420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2114301104532 its reverse (2354011034112), we get a palindrome (4468312138644).

The spelling of 2114301104532 in words is "two trillion, one hundred fourteen billion, three hundred one million, one hundred four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 543 724 1086 1629 1861 2172 3258 3722 4887 5583 6516 7444 9774 11166 14661 16749 19373 19548 22332 29322 33498 38746 50247 58119 58644 66996 77492 100494 116238 150741 174357 200988 232476 301482 336841 348714 523071 602964 673682 697428 1010523 1046142 1347364 1569213 2021046 2092284 3031569 3138426 3506513 4042092 6063138 6276852 7013026 9094707 10519539 12126276 14026052 18189414 21039078 27284121 31558617 36053153 36378828 42078156 54568242 63117234 72106306 94675851 108159459 109136484 126234468 144212612 189351702 216318918 284027553 324478377 378703404 432637836 568055106 648956754 973435131 1136110212 1297913508 1946870262 2920305393 3893740524 5840610786 6525620693 11681221572 13051241386 19576862079 26102482772 39153724158 58730586237 78307448316 117461172474 176191758711 234922344948 352383517422 528575276133 704767034844 1057150552266 2114301104532