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242350212300 = 223527261270269
BaseRepresentation
bin1110000110110100110…
…0101100010011001100
3212011112210200101011220
43201231030230103030
512432313123243200
6303200102043340
723336443546500
oct3415514542314
9764483611156
10242350212300
1193864416559
123ab76719550
1319b132777b1
14ba3086c300
15648644a4a0
hex386d32c4cc

242350212300 has 216 divisors, whose sum is σ = 829056468240. Its totient is φ = 54486028800.

The previous prime is 242350212283. The next prime is 242350212341. The reversal of 242350212300 is 3212053242.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 761566 + ... + 1031834.

It is an arithmetic number, because the mean of its divisors is an integer number (3838224390).

Almost surely, 2242350212300 is an apocalyptic number.

242350212300 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 242350212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414528234120).

242350212300 is an abundant number, since it is smaller than the sum of its proper divisors (586706255940).

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

242350212300 is a wasteful number, since it uses less digits than its factorization.

242350212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270361 (or 270347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 242350212300 its reverse (3212053242), we get a palindrome (245562265542).

The spelling of 242350212300 in words is "two hundred forty-two billion, three hundred fifty million, two hundred twelve thousand, three hundred".