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1331030330100 = 2232521977838031
BaseRepresentation
bin10011010111100111100…
…101110000101011110100
311201020121210101112210100
4103113213211300223310
5133301422231030400
62455244503154100
7165110113063152
oct23274745605364
94636553345710
101331030330100
11473539a154a9
12195b67445930
1398691a88a03
14485ca7983d2
1524953222100
hex135e7970af4

1331030330100 has 108 divisors (see below), whose sum is σ = 4391621765440. Its totient is φ = 336260289600.

The previous prime is 1331030330051. The next prime is 1331030330111. The reversal of 1331030330100 is 10330301331.

1331030330100 is a `hidden beast` number, since 1 + 331 + 0 + 3 + 0 + 330 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×13310303301002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38901916 + ... + 38936115.

Almost surely, 21331030330100 is an apocalyptic number.

1331030330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331030330100 is an abundant number, since it is smaller than the sum of its proper divisors (3060591435340).

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

1331030330100 is a wasteful number, since it uses less digits than its factorization.

1331030330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77838070 (or 77838060 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1331030330100 its reverse (10330301331), we get a palindrome (1341360631431).

The spelling of 1331030330100 in words is "one trillion, three hundred thirty-one billion, thirty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 77838031 155676062 233514093 311352124 389190155 467028186 700542279 778380310 934056372 1167570465 1401084558 1478922589 1556760620 1945950775 2335140930 2802169116 2957845178 3502711395 3891901550 4436767767 4670281860 5837852325 5915690356 7005422790 7394612945 7783803100 8873535534 11675704650 13310303301 14010845580 14789225890 17513556975 17747071068 22183838835 23351409300 26620606602 29578451780 35027113950 36973064725 44367677670 53241213204 66551516505 70054227900 73946129450 88735355340 110919194175 133103033010 147892258900 221838388350 266206066020 332757582525 443676776700 665515165050 1331030330100