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10342257031200 = 2535229831790309
BaseRepresentation
bin1001011001111111111010…
…0011100111100000100000
31100121201011200012212211010
42112133332203213200200
52323421420244444300
633555100045020520
72115126525200433
oct226377643474040
940551150185733
1010342257031200
1133281435212a6
1211b0494b54740
135a03698188b3
1427a7d44c381a
1512e05c31da50
hex967fe8e7820

10342257031200 has 288 divisors, whose sum is σ = 35244472334400. Its totient is φ = 2630750187520.

The previous prime is 10342257031193. The next prime is 10342257031207. The reversal of 10342257031200 is 213075224301.

It is an interprime number because it is at equal distance from previous prime (10342257031193) and next prime (10342257031207).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10342257031207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4881646 + ... + 6671954.

It is an arithmetic number, because the mean of its divisors is an integer number (122376640050).

Almost surely, 210342257031200 is an apocalyptic number.

10342257031200 is a gapful number since it is divisible by the number (10) 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 10342257031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622236167200).

10342257031200 is an abundant number, since it is smaller than the sum of its proper divisors (24902215303200).

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

10342257031200 is a wasteful number, since it uses less digits than its factorization.

10342257031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790444 (or 1790431 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 10342257031200 in words is "ten trillion, three hundred forty-two billion, two hundred fifty-seven million, thirty-one thousand, two hundred".