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242103011424 = 25323109648103
BaseRepresentation
bin1110000101111001110…
…1101100100001100000
3212010220120112021022220
43201132131230201200
512431311332331144
6303115351431040
723330352433311
oct3413635544140
9763816467286
10242103011424
119374792490a
123ab07985480
1319aa3ca51a1
14ba09ac0608
15646e8ba919
hex385e76c860

242103011424 has 48 divisors (see below), whose sum is σ = 663151732992. Its totient is φ = 77192263808.

The previous prime is 242103011417. The next prime is 242103011431. The reversal of 242103011424 is 424110301242.

It is an interprime number because it is at equal distance from previous prime (242103011417) and next prime (242103011431).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2421030114242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242103011394 and 242103011403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54821844 + ... + 54826259.

It is an arithmetic number, because the mean of its divisors is an integer number (13815661104).

Almost surely, 2242103011424 is an apocalyptic number.

242103011424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242103011424 is an abundant number, since it is smaller than the sum of its proper divisors (421048721568).

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

242103011424 is a wasteful number, since it uses less digits than its factorization.

242103011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109648139 (or 109648131 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242103011424 its reverse (424110301242), we get a palindrome (666213312666).

The spelling of 242103011424 in words is "two hundred forty-two billion, one hundred three million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 109648103 219296206 328944309 438592412 657888618 877184824 1315777236 1754369648 2521906369 2631554472 3508739296 5043812738 5263108944 7565719107 10087625476 10526217888 15131438214 20175250952 30262876428 40350501904 60525752856 80701003808 121051505712 242103011424