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202930195104 = 253371312720323
BaseRepresentation
bin1011110011111110010…
…1010000101010100000
3201101210112222000112000
42330333211100222200
511311100112220404
6233120322204000
720442541124610
oct2747745205240
9641715860460
10202930195104
117907589414a
12333b4ab3600
13161a0402930
149b71316a40
15542a82a339
hex2f3f950aa0

202930195104 has 384 divisors, whose sum is σ = 734239457280. Its totient is φ = 53096020992.

The previous prime is 202930195067. The next prime is 202930195141. The reversal of 202930195104 is 401591039202.

202930195104 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 (202930195067) and next prime (202930195141).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 9975087 + ... + 9995409.

It is an arithmetic number, because the mean of its divisors is an integer number (1912081920).

Almost surely, 2202930195104 is an apocalyptic number.

202930195104 is a gapful number since it is divisible by the number (24) 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 202930195104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367119728640).

202930195104 is an abundant number, since it is smaller than the sum of its proper divisors (531309262176).

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

202930195104 is a wasteful number, since it uses less digits than its factorization.

202930195104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20489 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 202930195104 in words is "two hundred two billion, nine hundred thirty million, one hundred ninety-five thousand, one hundred four".