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101314430223424 = 26111092822946771
BaseRepresentation
bin10111000010010100011010…
…100111111100010001000000
3111021201120020211200021200021
4113002110122213330101000
5101234413423114122144
6555251112352103224
730224504012533105
oct2702243247742100
9437646224607607
10101314430223424
112a311232665850
12b4434b9834b14
13446bba9a13412
141b03904a64aac
15baa64a4ab884
hex5c251a9fc440

101314430223424 has 112 divisors (see below), whose sum is σ = 221347423598400. Its totient is φ = 45626926233600.

The previous prime is 101314430223403. The next prime is 101314430223439. The reversal of 101314430223424 is 424322034413101.

It is a super-2 number, since 2×1013144302234242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101314430223424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166157159 + ... + 2166203929.

Almost surely, 2101314430223424 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 101314430223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110673711799200).

101314430223424 is an abundant number, since it is smaller than the sum of its proper divisors (120032993374976).

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

101314430223424 is a wasteful number, since it uses less digits than its factorization.

101314430223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75132 (or 75122 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 101314430223424 its reverse (424322034413101), we get a palindrome (525636464636525).

The spelling of 101314430223424 in words is "one hundred one trillion, three hundred fourteen billion, four hundred thirty million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 176 218 352 436 704 872 1199 1744 2398 3488 4796 6976 9592 19184 28229 38368 46771 56458 76736 93542 112916 187084 225832 310519 374168 451664 514481 621038 748336 903328 1028962 1242076 1496672 1806656 2057924 2484152 2993344 3076961 4115848 4968304 5098039 6153922 8231696 9936608 10196078 12307844 16463392 19873216 20392156 24615688 32926784 33846571 40784312 49231376 56078429 67693142 81568624 98462752 112156858 135386284 163137248 196925504 224313716 270772568 326274496 448627432 541545136 897254864 1083090272 1320298559 1794509728 2166180544 2640597118 3589019456 5281194236 10562388472 14523284149 21124776944 29046568298 42249553888 58093136596 84499107776 116186273192 143912542931 232372546384 287825085862 464745092768 575650171724 929490185536 1151300343448 1583037972241 2302600686896 3166075944482 4605201373792 6332151888964 9210402747584 12664303777928 25328607555856 50657215111712 101314430223424