Search a number
-
+
10123202200 = 2352793072087
BaseRepresentation
bin10010110110110001…
…11100111010011000
3222010111120221202211
421123120330322120
5131213014432300
64352303204504
7505601541016
oct113330747230
928114527684
1010123202200
114325313711
121b662a6734
13c54395a97
146c06738b6
153e3ae74ba
hex25b63ce98

10123202200 has 96 divisors (see below), whose sum is σ = 23923468800. Its totient is φ = 3983091840.

The previous prime is 10123202191. The next prime is 10123202213. The reversal of 10123202200 is 220232101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4849557 + ... + 4851643.

It is an arithmetic number, because the mean of its divisors is an integer number (249202800).

Almost surely, 210123202200 is an apocalyptic number.

10123202200 is a gapful number since it is divisible by the number (10) 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 10123202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961734400).

10123202200 is an abundant number, since it is smaller than the sum of its proper divisors (13800266600).

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

10123202200 is a wasteful number, since it uses less digits than its factorization.

10123202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10123202200 its reverse (220232101), we get a palindrome (10343434301).

The spelling of 10123202200 in words is "ten billion, one hundred twenty-three million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 307 316 395 614 632 790 1228 1535 1580 1975 2087 2456 3070 3160 3950 4174 6140 7675 7900 8348 10435 12280 15350 15800 16696 20870 24253 30700 41740 48506 52175 61400 83480 97012 104350 121265 164873 194024 208700 242530 329746 417400 485060 606325 640709 659492 824365 970120 1212650 1281418 1318984 1648730 2425300 2562836 3203545 3297460 4121825 4850600 5125672 6407090 6594920 8243650 12814180 16017725 16487300 25628360 32035450 32974600 50616011 64070900 101232022 128141800 202464044 253080055 404928088 506160110 1012320220 1265400275 2024640440 2530800550 5061601100 10123202200