Search a number
-
+
101200103232 = 2637313155117
BaseRepresentation
bin101111000111111111…
…1110000011101000000
3100200012210211220101120
41132033333300131000
53124224211300412
6114253553232240
710211555453514
oct1361777603500
9320183756346
10101200103232
1139a11902458
1217743862680
13970a33bbb7
144c805ba144
152974795b8c
hex178fff0740

101200103232 has 112 divisors (see below), whose sum is σ = 273503452992. Its totient is φ = 33016688640.

The previous prime is 101200103129. The next prime is 101200103273. The reversal of 101200103232 is 232301002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808538 + ... + 1863654.

It is an arithmetic number, because the mean of its divisors is an integer number (2441995116).

Almost surely, 2101200103232 is an apocalyptic number.

101200103232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136751726496).

101200103232 is an abundant number, since it is smaller than the sum of its proper divisors (172303349760).

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

101200103232 is a wasteful number, since it uses less digits than its factorization.

101200103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55336 (or 55326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101200103232 its reverse (232301002101), we get a palindrome (333501105333).

The spelling of 101200103232 in words is "one hundred one billion, two hundred million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 131 146 192 219 262 292 393 438 524 584 786 876 1048 1168 1572 1752 2096 2336 3144 3504 4192 4672 6288 7008 8384 9563 12576 14016 19126 25152 28689 38252 55117 57378 76504 110234 114756 153008 165351 220468 229512 306016 330702 440936 459024 612032 661404 881872 918048 1322808 1763744 1836096 2645616 3527488 4023541 5291232 7220327 8047082 10582464 12070623 14440654 16094164 21660981 24141246 28881308 32188328 43321962 48282492 57762616 64376656 86643924 96564984 115525232 128753312 173287848 193129968 231050464 257506624 346575696 386259936 462100928 527083871 693151392 772519872 1054167742 1386302784 1581251613 2108335484 3162503226 4216670968 6325006452 8433341936 12650012904 16866683872 25300025808 33733367744 50600051616 101200103232