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30099821049 = 343725212
BaseRepresentation
bin11100000010000101…
…101101000111111001
32212200201010100010000
4130002011231013321
5443121023233144
621454435343213
72113621154214
oct340205550771
985621110100
1030099821049
1111846623071
125a00451b09
132ab8c752cc
1416577d077b
15bb2795769
hex70216d1f9

30099821049 has 45 divisors (see below), whose sum is σ = 46300884861. Its totient is φ = 19486733760.

The previous prime is 30099821021. The next prime is 30099821069. The reversal of 30099821049 is 94012899003.

The square root of 30099821049 is 173493.

It is a perfect power (a square), and thus also a powerful number.

30099821049 is a `hidden beast` number, since 300 + 9 + 98 + 210 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1629333225 + 28470487824 = 40365^2 + 168732^2 .

It is not a de Polignac number, because 30099821049 - 219 = 30099296761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30099820995 and 30099821013.

It is not an unprimeable number, because it can be changed into a prime (30099821069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57772909 + ... + 57773429.

Almost surely, 230099821049 is an apocalyptic number.

30099821049 is the 173493-rd square number.

30099821049 is the 86747-th centered octagonal number.

It is an amenable number.

30099821049 is a deficient number, since it is larger than the sum of its proper divisors (16201063812).

30099821049 is an frugal number, since it uses more digits than its factorization.

30099821049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 30099821049 in words is "thirty billion, ninety-nine million, eight hundred twenty-one thousand, forty-nine".

Divisors: 1 3 9 27 37 81 111 333 521 999 1369 1563 2997 4107 4689 12321 14067 19277 36963 42201 57831 110889 173493 271441 520479 713249 814323 1561437 2139747 2442969 6419241 7328907 10043317 19257723 21986721 30129951 57773169 90389853 271169559 371602729 813508677 1114808187 3344424561 10033273683 30099821049