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242520354120 = 233511183727541
BaseRepresentation
bin1110000111011101010…
…1101110110101001000
3212011222122211110212210
43201313111232311020
512433140202312440
6303225020505120
723343610666002
oct3416725566510
9764878743783
10242520354120
1193941465630
123b0036ab1a0
1319b3c5a9525
14ba492bb372
156496357a80
hex387756ed48

242520354120 has 64 divisors (see below), whose sum is σ = 793702981440. Its totient is φ = 58792812800.

The previous prime is 242520354119. The next prime is 242520354127. The reversal of 242520354120 is 21453025242.

It is a super-2 number, since 2×2425203541202 (a number of 24 digits) contains 22 as substring.

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 (242520354127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91862451 + ... + 91865090.

It is an arithmetic number, because the mean of its divisors is an integer number (12401609085).

Almost surely, 2242520354120 is an apocalyptic number.

242520354120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242520354120 is an abundant number, since it is smaller than the sum of its proper divisors (551182627320).

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

242520354120 is a wasteful number, since it uses less digits than its factorization.

242520354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183727566 (or 183727562 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 242520354120 its reverse (21453025242), we get a palindrome (263973379362).

The spelling of 242520354120 in words is "two hundred forty-two billion, five hundred twenty million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 183727541 367455082 551182623 734910164 918637705 1102365246 1469820328 1837275410 2021002951 2204730492 2755913115 3674550820 4042005902 4409460984 5511826230 6063008853 7349101640 8084011804 10105014755 11023652460 12126017706 16168023608 20210029510 22047304920 24252035412 30315044265 40420059020 48504070824 60630088530 80840118040 121260177060 242520354120