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243102152000 = 2653101300869
BaseRepresentation
bin1110001001101000000…
…1000111010101000000
3212020111012120212112102
43202122001013111000
512440333122331000
6303402442445532
723364204124511
oct3423201072500
9766435525472
10243102152000
119410a910a24
123b1465038a8
1319c02ca1126
14baa2686a08
1564cc47c3d5
hex389a047540

243102152000 has 112 divisors (see below), whose sum is σ = 608005316880. Its totient is φ = 96277760000.

The previous prime is 243102151991. The next prime is 243102152039. The reversal of 243102152000 is 251201342.

It can be written as a sum of positive squares in 8 ways, for example, as 266081344 + 242836070656 = 16312^2 + 492784^2 .

It is a super-2 number, since 2×2431021520002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657566 + ... + 958434.

Almost surely, 2243102152000 is an apocalyptic number.

243102152000 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 243102152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304002658440).

243102152000 is an abundant number, since it is smaller than the sum of its proper divisors (364903164880).

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

243102152000 is a wasteful number, since it uses less digits than its factorization.

243102152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300997 (or 300977 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 243102152000 its reverse (251201342), we get a palindrome (243353353342).

The spelling of 243102152000 in words is "two hundred forty-three billion, one hundred two million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 800 808 1000 1010 1600 1616 2000 2020 2525 3232 4000 4040 5050 6464 8000 8080 10100 12625 16160 20200 25250 32320 40400 50500 80800 101000 161600 202000 300869 404000 601738 808000 1203476 1504345 2406952 3008690 4813904 6017380 7521725 9627808 12034760 15043450 19255616 24069520 30086900 30387769 37608625 48139040 60173800 60775538 75217250 96278080 120347600 121551076 150434500 151938845 240695200 243102152 300869000 303877690 481390400 486204304 601738000 607755380 759694225 972408608 1203476000 1215510760 1519388450 1944817216 2406952000 2431021520 3038776900 3798471125 4862043040 6077553800 7596942250 9724086080 12155107600 15193884500 24310215200 30387769000 48620430400 60775538000 121551076000 243102152000