Search a number
-
+
10554083331 = 3113171145307
BaseRepresentation
bin10011101010001001…
…01000100000000011
31000020112100222120020
421311010220200003
5133103321131311
64503134344523
7522353141151
oct116504504003
930215328506
1010554083331
114526561020
12206665b143
13cc272a42c
147219963d1
1541b85ac06
hex275128803

10554083331 has 32 divisors (see below), whose sum is σ = 16069902336. Its totient is φ = 6102852000.

The previous prime is 10554083329. The next prime is 10554083363. The reversal of 10554083331 is 13338045501.

It is not a de Polignac number, because 10554083331 - 21 = 10554083329 is a prime.

It is a super-2 number, since 2×105540833312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10554083292 and 10554083301.

It is not an unprimeable number, because it can be changed into a prime (10554083321) 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, 21 + ... + 145286.

It is an arithmetic number, because the mean of its divisors is an integer number (502184448).

Almost surely, 210554083331 is an apocalyptic number.

10554083331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10554083331 is a deficient number, since it is larger than the sum of its proper divisors (5515819005).

10554083331 is a wasteful number, since it uses less digits than its factorization.

10554083331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145423.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10554083331 in words is "ten billion, five hundred fifty-four million, eighty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 31 33 71 93 213 341 781 1023 2201 2343 6603 24211 72633 145307 435921 1598377 4504517 4795131 10316797 13513551 30950391 49549687 113484767 148649061 319820707 340454301 959462121 3518027777 10554083331