Search a number
-
+
10143254412 = 22321572576983
BaseRepresentation
bin10010111001001010…
…11100011110001100
3222011220022201020100
421130211130132030
5131233133120122
64354301051100
7506234145204
oct113445343614
928156281210
1010143254412
11433566a195
121b70b56a90
13c58596bb5
146c31b3404
153e5758aac
hex25c95c78c

10143254412 has 72 divisors (see below), whose sum is σ = 25907315616. Its totient is φ = 3345997824.

The previous prime is 10143254411. The next prime is 10143254431. The reversal of 10143254412 is 21445234101.

10143254412 is a `hidden beast` number, since 101 + 4 + 3 + 2 + 544 + 12 = 666.

10143254412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101432544122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10143254411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449073 + ... + 1456055.

It is an arithmetic number, because the mean of its divisors is an integer number (359823828).

Almost surely, 210143254412 is an apocalyptic number.

10143254412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10143254412 is an abundant number, since it is smaller than the sum of its proper divisors (15764061204).

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

10143254412 is a wasteful number, since it uses less digits than its factorization.

10143254412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10143254412 its reverse (21445234101), we get a palindrome (31588488513).

The spelling of 10143254412 in words is "ten billion, one hundred forty-three million, two hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 257 314 471 514 628 771 942 1028 1413 1542 1884 2313 2826 3084 4626 5652 6983 9252 13966 20949 27932 40349 41898 62847 80698 83796 121047 125694 161396 242094 251388 363141 484188 726282 1096331 1452564 1794631 2192662 3288993 3589262 4385324 5383893 6577986 7178524 9866979 10767786 13155972 16151679 19733958 21535572 32303358 39467916 64606716 281757067 563514134 845271201 1127028268 1690542402 2535813603 3381084804 5071627206 10143254412