Search a number
-
+
424230020130 = 235713793715737
BaseRepresentation
bin1100010110001100001…
…01000110010000100010
31111120000022121220222210
412023012011012100202
523422310341121010
6522515533342550
742435546450060
oct6130605062042
91446008556883
10424230020130
11153a07872124
126a275937a56
133100a4a2b67
1416766197030
15b07dbc3b20
hex62c6146422

424230020130 has 128 divisors (see below), whose sum is σ = 1173421251072. Its totient is φ = 96150233088.

The previous prime is 424230020119. The next prime is 424230020141. The reversal of 424230020130 is 31020032424.

It is an interprime number because it is at equal distance from previous prime (424230020119) and next prime (424230020141).

It is a super-2 number, since 2×4242300201302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 424230020097 and 424230020106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26949622 + ... + 26965358.

It is an arithmetic number, because the mean of its divisors is an integer number (9167353524).

Almost surely, 2424230020130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424230020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586710625536).

424230020130 is an abundant number, since it is smaller than the sum of its proper divisors (749191230942).

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

424230020130 is a wasteful number, since it uses less digits than its factorization.

424230020130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16828.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 424230020130 its reverse (31020032424), we get a palindrome (455250052554).

The spelling of 424230020130 in words is "four hundred twenty-four billion, two hundred thirty million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 937 959 1370 1874 1918 2055 2811 2877 4110 4685 4795 5622 5754 6559 9370 9590 13118 14055 14385 15737 19677 28110 28770 31474 32795 39354 47211 65590 78685 94422 98385 110159 128369 157370 196770 220318 236055 256738 330477 385107 472110 550795 641845 660954 770214 898583 1101590 1283690 1652385 1797166 1925535 2155969 2695749 3304770 3851070 4311938 4492915 5391498 6467907 8985830 10779845 12935814 13478745 14745569 15091783 21559690 26957490 29491138 30183566 32339535 44236707 45275349 64679070 73727845 75458915 88473414 90550698 103218983 147455690 150917830 206437966 221183535 226376745 309656949 442367070 452753490 516094915 619313898 1032189830 1548284745 2020142953 3096569490 4040285906 6060428859 10100714765 12120857718 14141000671 20201429530 28282001342 30302144295 42423002013 60604288590 70705003355 84846004026 141410006710 212115010065 424230020130