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200432200100 = 2252111277431931
BaseRepresentation
bin1011101010101010110…
…0001010100110100100
3201011100110112201120112
42322222230022212210
511240441120400400
6232024405352152
720323616406416
oct2725254124644
9634313481515
10200432200100
117800382a570
1232a18408658
1315b92a25c92
1499b56689b6
155331398835
hex2eaab0a9a4

200432200100 has 144 divisors (see below), whose sum is σ = 479105335296. Its totient is φ = 72175824000.

The previous prime is 200432200057. The next prime is 200432200147. The reversal of 200432200100 is 1002234002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103796135 + ... + 103798065.

It is an arithmetic number, because the mean of its divisors is an integer number (3327120384).

Almost surely, 2200432200100 is an apocalyptic number.

200432200100 is a gapful number since it is divisible by the number (20) 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 200432200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239552667648).

200432200100 is an abundant number, since it is smaller than the sum of its proper divisors (278673135196).

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

200432200100 is a wasteful number, since it uses less digits than its factorization.

200432200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 200432200100 its reverse (1002234002), we get a palindrome (201434434102).

The spelling of 200432200100 in words is "two hundred billion, four hundred thirty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 743 1100 1270 1397 1486 1931 2540 2794 2972 3175 3715 3862 5588 6350 6985 7430 7724 8173 9655 12700 13970 14860 16346 18575 19310 21241 27940 32692 34925 37150 38620 40865 42482 48275 69850 74300 81730 84964 94361 96550 106205 139700 163460 188722 193100 204325 212410 245237 377444 408650 424820 471805 490474 531025 817300 943610 980948 1037971 1062050 1226185 1434733 1887220 2075942 2124100 2359025 2452370 2697607 2869466 4151884 4718050 4904740 5189855 5395214 5738932 6130925 7173665 9436100 10379710 10790428 12261850 13488035 14347330 15782063 20759420 24523700 25949275 26976070 28694660 31564126 35868325 51898550 53952140 63128252 67440175 71736650 78910315 103797100 134880350 143473300 157820630 182211091 269760700 315641260 364422182 394551575 728844364 789103150 911055455 1578206300 1822110910 2004322001 3644221820 4008644002 4555277275 8017288004 9110554550 10021610005 18221109100 20043220010 40086440020 50108050025 100216100050 200432200100