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203040200100 = 223522513737229
BaseRepresentation
bin1011110100011000100…
…0111001010110100100
3201102002012221212000010
42331012020321112210
511311311242400400
6233135252050220
720445345140103
oct2750610712644
9642065855003
10203040200100
1179121999571
1233425903970
13161ba13a34a
149b81b9003a
155435309450
hex2f462395a4

203040200100 has 144 divisors (see below), whose sum is σ = 591466518720. Its totient is φ = 53776320000.

The previous prime is 203040200059. The next prime is 203040200161. The reversal of 203040200100 is 1002040302.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 28083286 + ... + 28090514.

It is an arithmetic number, because the mean of its divisors is an integer number (4107406380).

Almost surely, 2203040200100 is an apocalyptic number.

203040200100 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 203040200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295733259360).

203040200100 is an abundant number, since it is smaller than the sum of its proper divisors (388426318620).

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

203040200100 is a wasteful number, since it uses less digits than its factorization.

203040200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 203040200100 its reverse (1002040302), we get a palindrome (204042240402).

The spelling of 203040200100 in words is "two hundred three billion, forty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 251 300 373 502 746 753 1004 1119 1255 1492 1506 1865 2238 2510 3012 3730 3765 4476 5020 5595 6275 7229 7460 7530 9325 11190 12550 14458 15060 18650 18825 21687 22380 25100 27975 28916 36145 37300 37650 43374 55950 72290 75300 86748 93623 108435 111900 144580 180725 187246 216870 280869 361450 374492 433740 468115 542175 561738 722900 936230 1084350 1123476 1404345 1814479 1872460 2168700 2340575 2696417 2808690 3628958 4681150 5392834 5443437 5617380 7021725 7257916 8089251 9072395 9362300 10785668 10886874 13482085 14043450 16178502 18144790 21773748 26964170 27217185 28086900 32357004 36289580 40446255 45361975 53928340 54434370 67410425 80892510 90723950 108868740 134820850 136085925 161785020 181447900 202231275 269641700 272171850 404462550 544343700 676800667 808925100 1353601334 2030402001 2707202668 3384003335 4060804002 6768006670 8121608004 10152010005 13536013340 16920016675 20304020010 33840033350 40608040020 50760050025 67680066700 101520100050 203040200100