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30131120330100 = 22325233479022589
BaseRepresentation
bin1101101100111011100101…
…01110010101010101110100
310221200111200120201200002100
412312131302232111111310
512422132013301030400
6144030013502542100
76226621151662116
oct666356256252564
9127614616650070
1030131120330100
119667599a00829
123467743297930
1313a74774621aa
147624d55673b6
15373ba618c100
hex1b6772b95574

30131120330100 has 54 divisors (see below), whose sum is σ = 94444322726390. Its totient is φ = 8034965421120.

The previous prime is 30131120330083. The next prime is 30131120330137. The reversal of 30131120330100 is 103302113103.

It is a happy number.

30131120330100 is a `hidden beast` number, since 3 + 0 + 1 + 311 + 20 + 330 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5643915876 + 30125476414224 = 75126^2 + 5488668^2 .

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16739510395 + ... + 16739512194.

Almost surely, 230131120330100 is an apocalyptic number.

30131120330100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30131120330100 is an abundant number, since it is smaller than the sum of its proper divisors (64313202396290).

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

30131120330100 is a wasteful number, since it uses less digits than its factorization.

30131120330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33479022609 (or 33479022599 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30131120330100 its reverse (103302113103), we get a palindrome (30234422443203).

The spelling of 30131120330100 in words is "thirty trillion, one hundred thirty-one billion, one hundred twenty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 33479022589 66958045178 100437067767 133916090356 167395112945 200874135534 301311203301 334790225890 401748271068 502185338835 602622406602 669580451780 836975564725 1004370677670 1205244813204 1506556016505 1673951129450 2008741355340 2510926694175 3013112033010 3347902258900 5021853388350 6026224066020 7532780082525 10043706776700 15065560165050 30131120330100