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2053250105140 = 2251379257388963
BaseRepresentation
bin11101111000001111001…
…111100011111100110100
321021021210112022110200101
4131320033033203330310
5232120024011331030
64211130003323444
7301225310634013
oct35701717437464
97237715273611
102053250105140
11721862179a43
12291b25380584
1311b80b766b20
1471540acca7a
1538622d6b7ca
hex1de0f3e3f34

2053250105140 has 96 divisors (see below), whose sum is σ = 4720591572480. Its totient is φ = 745612148736.

The previous prime is 2053250105131. The next prime is 2053250105149. The reversal of 2053250105140 is 415010523502.

It is an interprime number because it is at equal distance from previous prime (2053250105131) and next prime (2053250105149).

It is a junction number, because it is equal to n+sod(n) for n = 2053250105099 and 2053250105108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053250105149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5084299 + ... + 5473261.

It is an arithmetic number, because the mean of its divisors is an integer number (49172828880).

Almost surely, 22053250105140 is an apocalyptic number.

2053250105140 is a gapful number since it is divisible by the number (20) 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 2053250105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360295786240).

2053250105140 is an abundant number, since it is smaller than the sum of its proper divisors (2667341467340).

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

2053250105140 is a wasteful number, since it uses less digits than its factorization.

2053250105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389321 (or 389319 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 2053250105140 its reverse (415010523502), we get a palindrome (2468260628642).

The spelling of 2053250105140 in words is "two trillion, fifty-three billion, two hundred fifty million, one hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 257 260 316 395 514 790 1027 1028 1285 1580 2054 2570 3341 4108 5135 5140 6682 10270 13364 16705 20303 20540 33410 40606 66820 81212 101515 203030 263939 388963 406060 527878 777926 1055756 1319695 1555852 1944815 2639390 3889630 5056519 5278780 7779260 10113038 20226076 25282595 30728077 50565190 61456154 99963491 101130380 122912308 153640385 199926982 307280770 399465001 399853964 499817455 614561540 798930002 999634910 1299525383 1597860004 1997325005 1999269820 2599050766 3994650010 5198101532 6497626915 7897115789 7989300020 12995253830 15794231578 25990507660 31588463156 39485578945 78971157890 102662505257 157942315780 205325010514 410650021028 513312526285 1026625052570 2053250105140