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1303430430420 = 2232517425957657
BaseRepresentation
bin10010111101111010100…
…000011111111011010100
311121121101022022101002200
4102331322200133323110
5132323411142233140
62434442045404500
7163112135566266
oct22757240377324
94547338271080
101303430430420
11462866552358
12190744269730
1395bb3a16121
144712cdd7b36
1523d8a18e030
hex12f7a81fed4

1303430430420 has 72 divisors (see below), whose sum is σ = 4186311862824. Its totient is φ = 327135479808.

The previous prime is 1303430430389. The next prime is 1303430430439. The reversal of 1303430430420 is 240340343031.

1303430430420 is a `hidden beast` number, since 1 + 3 + 0 + 34 + 304 + 304 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 375587573904 + 927842856516 = 612852^2 + 963246^2 .

It is a super-2 number, since 2×13034304304202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212975769 + ... + 212981888.

It is an arithmetic number, because the mean of its divisors is an integer number (58143220317).

Almost surely, 21303430430420 is an apocalyptic number.

1303430430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303430430420 is an abundant number, since it is smaller than the sum of its proper divisors (2882881432404).

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

1303430430420 is a wasteful number, since it uses less digits than its factorization.

1303430430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425957689 (or 425957684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1303430430420 its reverse (240340343031), we get a palindrome (1543770773451).

The spelling of 1303430430420 in words is "one trillion, three hundred three billion, four hundred thirty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 425957657 851915314 1277872971 1703830628 2129788285 2555745942 3833618913 4259576570 5111491884 6389364855 7241280169 7667237826 8519153140 12778729710 14482560338 15334475652 19168094565 21723840507 25557459420 28965120676 36206400845 38336189130 43447681014 65171521521 72412801690 76672378260 86895362028 108619202535 130343043042 144825603380 217238405070 260686086084 325857607605 434476810140 651715215210 1303430430420