Search a number
-
+
30100031330100 = 22352911110135497
BaseRepresentation
bin1101101100000001101011…
…01011001101011100110100
310221120112102221021211112220
412312000311223031130310
512421124331010030400
6144003432525442340
76224440556563134
oct666006553153464
9127515387254486
1030100031330100
119655395a859a6
1234617077103b0
1313a456159b1c4
14760bc6644ac4
15372e86b517a0
hex1b6035acd734

30100031330100 has 72 divisors (see below), whose sum is σ = 87185022384768. Its totient is φ = 8017864108800.

The previous prime is 30100031330093. The next prime is 30100031330129. The reversal of 30100031330100 is 103313000103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30100031330100.

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 23 ways as a sum of consecutive naturals, for example, 54794449 + ... + 55341048.

Almost surely, 230100031330100 is an apocalyptic number.

30100031330100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30100031330100 is an abundant number, since it is smaller than the sum of its proper divisors (57084991054668).

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

30100031330100 is a wasteful number, since it uses less digits than its factorization.

30100031330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110136425 (or 110136418 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 30100031330100 its reverse (103313000103), we get a palindrome (30203344330203).

The spelling of 30100031330100 in words is "thirty trillion, one hundred billion, thirty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 911 1822 2733 3644 4555 5466 9110 10932 13665 18220 22775 27330 45550 54660 68325 91100 136650 273300 110135497 220270994 330406491 440541988 550677485 660812982 1101354970 1321625964 1652032455 2202709940 2753387425 3304064910 5506774850 6608129820 8260162275 11013549700 16520324550 33040649100 100333437767 200666875534 301000313301 401333751068 501667188835 602000626602 1003334377670 1204001253204 1505001566505 2006668755340 2508335944175 3010003133010 5016671888350 6020006266020 7525007832525 10033343776700 15050015665050 30100031330100