Search a number
-
+
10025531153343 = 3223311562339279
BaseRepresentation
bin1001000111100100000000…
…1110010001101110111111
31022111102122111121020001100
42101321000032101232333
52303224241433401333
633153355422144143
72053215002513556
oct221710016215677
938442574536040
1010025531153343
113215892a75452
12115b022122053
13579532733a54
14269349c5ad9d
15125bc1584213
hex91e40391bbf

10025531153343 has 24 divisors (see below), whose sum is σ = 15598395371520. Its totient is φ = 6186863540880.

The previous prime is 10025531153299. The next prime is 10025531153401. The reversal of 10025531153343 is 34335113552001.

10025531153343 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 5 + 311 + 5 + 334 + 3 = 666.

10025531153343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10025531153343 - 29 = 10025531152831 is a prime.

It is a super-2 number, since 2×100255311533432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10025531153298 and 10025531153307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025531151343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781163223 + ... + 781176056.

It is an arithmetic number, because the mean of its divisors is an integer number (649933140480).

Almost surely, 210025531153343 is an apocalyptic number.

10025531153343 is a deficient number, since it is larger than the sum of its proper divisors (5572864218177).

10025531153343 is a wasteful number, since it uses less digits than its factorization.

10025531153343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562339339 (or 1562339336 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 10025531153343 in words is "ten trillion, twenty-five billion, five hundred thirty-one million, one hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 9 23 31 69 93 207 279 713 2139 6417 1562339279 4687017837 14061053511 35933803417 48432517649 107801410251 145297552947 323404230753 435892658841 1113947905927 3341843717781 10025531153343