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203212313120 = 2555399235243
BaseRepresentation
bin1011110101000001100…
…1011101001000100000
3201102112012211002200102
42331100121131020200
511312134323004440
6233204321041532
720452535106245
oct2752031351040
9642465732612
10203212313120
1179200064633
12334734862a8
13162169ac37b
149b9a9935cc
1554454a5b15
hex2f5065d220

203212313120 has 48 divisors (see below), whose sum is σ = 480180052800. Its totient is φ = 81269524224.

The previous prime is 203212313107. The next prime is 203212313131. The reversal of 203212313120 is 21313212302.

203212313120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203212313092 and 203212313101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746219 + ... + 981461.

It is an arithmetic number, because the mean of its divisors is an integer number (10003751100).

Almost surely, 2203212313120 is an apocalyptic number.

203212313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203212313120 is an abundant number, since it is smaller than the sum of its proper divisors (276967739680).

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

203212313120 is a wasteful number, since it uses less digits than its factorization.

203212313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240657 (or 240649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 203212313120 its reverse (21313212302), we get a palindrome (224525525422).

The spelling of 203212313120 in words is "two hundred three billion, two hundred twelve million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5399 10798 21596 26995 43192 53990 86384 107980 172768 215960 235243 431920 470486 863840 940972 1176215 1881944 2352430 3763888 4704860 7527776 9409720 18819440 37638880 1270076957 2540153914 5080307828 6350384785 10160615656 12700769570 20321231312 25401539140 40642462624 50803078280 101606156560 203212313120