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202113342720 = 28335172314957
BaseRepresentation
bin1011110000111011100…
…1001101110100000000
3201022200121220121201000
42330032321031310000
511302412003431340
6232503302212000
720413362032022
oct2741671156400
9638617817630
10202113342720
1178796792933
1233207424000
13160a00cc223
149ad4a42012
1553cdc74d30
hex2f0ee4dd00

202113342720 has 576 divisors, whose sum is σ = 792482019840. Its totient is φ = 48517742592.

The previous prime is 202113342713. The next prime is 202113342787. The reversal of 202113342720 is 27243311202.

202113342720 is a `hidden beast` number, since 2 + 0 + 211 + 3 + 3 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13505482 + ... + 13520438.

It is an arithmetic number, because the mean of its divisors is an integer number (1375836840).

Almost surely, 2202113342720 is an apocalyptic number.

202113342720 is a gapful number since it is divisible by the number (20) 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 202113342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396241009920).

202113342720 is an abundant number, since it is smaller than the sum of its proper divisors (590368677120).

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

202113342720 is a wasteful number, since it uses less digits than its factorization.

202113342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15027 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 202113342720 its reverse (27243311202), we get a palindrome (229356653922).

The spelling of 202113342720 in words is "two hundred two billion, one hundred thirteen million, three hundred forty-two thousand, seven hundred twenty".