Search a number
-
+
10300323132 = 22321159440863
BaseRepresentation
bin10011001011111001…
…00111010100111100
3222120211212122000100
421211330213110330
5132043340320012
64422031401100
7513152205411
oct114574472474
928524778010
1010300323132
11440629a250
121bb5683190
13c81c9c378
146d9dbc108
154044328dc
hex265f2753c

10300323132 has 72 divisors (see below), whose sum is σ = 28885409280. Its totient is φ = 3068399520.

The previous prime is 10300323119. The next prime is 10300323139. The reversal of 10300323132 is 23132300301.

10300323132 is a `hidden beast` number, since 10 + 300 + 323 + 1 + 32 = 666.

It is a super-2 number, since 2×103003231322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300323139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197068 + ... + 243795.

It is an arithmetic number, because the mean of its divisors is an integer number (401186240).

Almost surely, 210300323132 is an apocalyptic number.

10300323132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10300323132 is an abundant number, since it is smaller than the sum of its proper divisors (18585086148).

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

10300323132 is a wasteful number, since it uses less digits than its factorization.

10300323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440943 (or 440938 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10300323132 its reverse (23132300301), we get a palindrome (33432623433).

The spelling of 10300323132 in words is "ten billion, three hundred million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3894 5841 7788 11682 23364 440863 881726 1322589 1763452 2645178 3967767 4849493 5290356 7935534 9698986 14548479 15871068 19397972 26010917 29096958 43645437 52021834 58193916 78032751 87290874 104043668 156065502 174581748 234098253 286120087 312131004 468196506 572240174 858360261 936393012 1144480348 1716720522 2575080783 3433441044 5150161566 10300323132