Search a number
-
+
10025065323 = 32713191913373
BaseRepresentation
bin10010101011000101…
…00101101101101011
3221212122221002021200
421111202211231223
5131012404042243
64334435535243
7503300435460
oct112542455553
927778832250
1010025065323
114284984a59
121b3945a523
13c39c55320
146b1609667
153da1aead3
hex2558a5b6b

10025065323 has 96 divisors (see below), whose sum is σ = 18864168960. Its totient is φ = 4981927680.

The previous prime is 10025065321. The next prime is 10025065343. The reversal of 10025065323 is 32356052001.

10025065323 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 0 + 653 + 2 + 3 = 666.

It is not a de Polignac number, because 10025065323 - 21 = 10025065321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10025065321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2970465 + ... + 2973837.

It is an arithmetic number, because the mean of its divisors is an integer number (196501760).

Almost surely, 210025065323 is an apocalyptic number.

10025065323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10025065323 is a deficient number, since it is larger than the sum of its proper divisors (8839103637).

10025065323 is a wasteful number, since it uses less digits than its factorization.

10025065323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10025065323 in words is "ten billion, twenty-five million, sixty-five thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 191 247 273 399 573 741 819 1197 1337 1719 1729 2223 2483 3373 3629 4011 5187 7449 10119 10887 12033 15561 17381 22347 23611 25403 30357 32661 43849 47177 52143 64087 70833 76209 131547 141531 156429 192261 212499 228627 306943 330239 394641 424593 448609 576783 644243 833131 920829 990717 1345827 1932729 2499393 2762487 2972151 4037481 4509701 5798187 5831917 7498179 8375159 12240617 13529103 17495751 25125477 36721851 40587309 52487253 58626113 75376431 85684319 110165553 159128021 175878339 257052957 477384063 527635017 771158871 1113896147 1432152189 3341688441 10025065323