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202061431320 = 233572212916141
BaseRepresentation
bin1011110000101111001…
…1001100001000011000
3201022120000020020122120
42330023303030020120
511302310211300240
6232454205421240
720412161553600
oct2741363141030
9638500206576
10202061431320
117876a457051
12331b1b6a820
1316092424b18
149acbbabc00
1553c941dad0
hex2f0bccc218

202061431320 has 192 divisors, whose sum is σ = 705528079200. Its totient is φ = 46160916480.

The previous prime is 202061431289. The next prime is 202061431321. The reversal of 202061431320 is 23134160202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202061431321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12510450 + ... + 12526590.

Almost surely, 2202061431320 is an apocalyptic number.

202061431320 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 202061431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352764039600).

202061431320 is an abundant number, since it is smaller than the sum of its proper divisors (503466647880).

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

202061431320 is a wasteful number, since it uses less digits than its factorization.

202061431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18298 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202061431320 its reverse (23134160202), we get a palindrome (225195591522).

The spelling of 202061431320 in words is "two hundred two billion, sixty-one million, four hundred thirty-one thousand, three hundred twenty".