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202313211400 = 23521011566057
BaseRepresentation
bin1011110001101011001…
…1101001111000001000
3201100012112222222222201
42330122303221320020
511303314140231100
6232535202125544
720421336631366
oct2743263517010
9640175888881
10202313211400
1178889596163
12332623508b4
131610263b811
149b133cc636
1553e15a536a
hex2f1ace9e08

202313211400 has 24 divisors (see below), whose sum is σ = 470378216970. Its totient is φ = 80925284480.

The previous prime is 202313211377. The next prime is 202313211413. The reversal of 202313211400 is 4112313202.

It is a happy number.

202313211400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 185001493924 + 17311717476 = 430118^2 + 131574^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 505782829 + ... + 505783228.

Almost surely, 2202313211400 is an apocalyptic number.

202313211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202313211400 is an abundant number, since it is smaller than the sum of its proper divisors (268065005570).

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

202313211400 is a wasteful number, since it uses less digits than its factorization.

202313211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011566073 (or 1011566064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 202313211400 its reverse (4112313202), we get a palindrome (206425524602).

The spelling of 202313211400 in words is "two hundred two billion, three hundred thirteen million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1011566057 2023132114 4046264228 5057830285 8092528456 10115660570 20231321140 25289151425 40462642280 50578302850 101156605700 202313211400