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202120023440 = 2452526500293
BaseRepresentation
bin1011110000111101001…
…0101100110110010000
3201022201002111000221002
42330033102230312100
511302420211222230
6232504101321132
720413502565236
oct2741722546620
9638632430832
10202120023440
117879a536195
12332097061a8
13160a15cb00a
149ad58a0956
1553ce644545
hex2f0f4acd90

202120023440 has 20 divisors (see below), whose sum is σ = 469929054684. Its totient is φ = 80848009344.

The previous prime is 202120023407. The next prime is 202120023473. The reversal of 202120023440 is 44320021202.

202120023440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202120023407) and next prime (202120023473).

It can be written as a sum of positive squares in 2 ways, for example, as 80628738304 + 121491285136 = 283952^2 + 348556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2021200234402 (a number of 23 digits) contains 22 as substring.

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

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 3 ways as a sum of consecutive naturals, for example, 1263250067 + ... + 1263250226.

Almost surely, 2202120023440 is an apocalyptic number.

202120023440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120023440 is an abundant number, since it is smaller than the sum of its proper divisors (267809031244).

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

202120023440 is a wasteful number, since it uses less digits than its factorization.

202120023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526500306 (or 2526500300 counting only the distinct ones).

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

Adding to 202120023440 its reverse (44320021202), we get a palindrome (246440044642).

The spelling of 202120023440 in words is "two hundred two billion, one hundred twenty million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2526500293 5053000586 10106001172 12632501465 20212002344 25265002930 40424004688 50530005860 101060011720 202120023440