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242124302020 = 22531797739089
BaseRepresentation
bin1110000101111110111…
…0111010011011000100
3212010222001120221112111
43201133232322123010
512431332310131040
6303121432030404
723331031416106
oct3413756723304
9763861527474
10242124302020
1193758946847
123ab12b32404
1319aa851ab83
14ba0c863576
1564716c3dea
hex385fbba6c4

242124302020 has 48 divisors (see below), whose sum is σ = 510600147120. Its totient is φ = 96442916864.

The previous prime is 242124301999. The next prime is 242124302083. The reversal of 242124302020 is 20203421242.

It can be written as a sum of positive squares in 8 ways, for example, as 7023445636 + 235100856384 = 83806^2 + 484872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242124301982 and 242124302000.

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, 6174636 + ... + 6213724.

It is an arithmetic number, because the mean of its divisors is an integer number (10637503065).

Almost surely, 2242124302020 is an apocalyptic number.

242124302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242124302020 is an abundant number, since it is smaller than the sum of its proper divisors (268475845100).

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

242124302020 is a wasteful number, since it uses less digits than its factorization.

242124302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40392 (or 40390 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242124302020 its reverse (20203421242), we get a palindrome (262327723262).

The spelling of 242124302020 in words is "two hundred forty-two billion, one hundred twenty-four million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 317 634 977 1268 1585 1954 3170 3908 4885 6340 9770 19540 39089 78178 156356 195445 309709 390890 619418 781780 1238836 1548545 3097090 6194180 12391213 24782426 38189953 49564852 61956065 76379906 123912130 152759812 190949765 247824260 381899530 763799060 12106215101 24212430202 48424860404 60531075505 121062151010 242124302020