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203212440020 = 225192691987991
BaseRepresentation
bin1011110101000001100…
…1111100000111010100
3201102112020001112202102
42331100121330013110
511312134341040040
6233204323501232
720452536145232
oct2752031740724
9642466045672
10203212440020
1179200140a07
1233473527818
1316216a25065
149b9a9c7952
1554454cd515
hex2f5067c1d4

203212440020 has 48 divisors (see below), whose sum is σ = 450876585600. Its totient is φ = 76720510080.

The previous prime is 203212439987. The next prime is 203212440029. The reversal of 203212440020 is 20044212302.

203212440020 is digitally balanced in base 2 and base 3, because in such bases 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 = 203212439974 and 203212440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203212440029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891776 + ... + 1096215.

It is an arithmetic number, because the mean of its divisors is an integer number (9393262200).

Almost surely, 2203212440020 is an apocalyptic number.

203212440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203212440020 is an abundant number, since it is smaller than the sum of its proper divisors (247664145580).

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

203212440020 is a wasteful number, since it uses less digits than its factorization.

203212440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988288 (or 1988286 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203212440020 its reverse (20044212302), we get a palindrome (223256652322).

The spelling of 203212440020 in words is "two hundred three billion, two hundred twelve million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 269 380 538 1076 1345 2690 5111 5380 10222 20444 25555 51110 102220 1987991 3975982 7951964 9939955 19879910 37771829 39759820 75543658 151087316 188859145 377718290 534769579 755436580 1069539158 2139078316 2673847895 5347695790 10160622001 10695391580 20321244002 40642488004 50803110005 101606220010 203212440020