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10102434411330 = 2325112249271237
BaseRepresentation
bin1001001100000010100000…
…0000111011001101000010
31022202210011000122111121200
42103000220000323031002
52311004241202130310
633252554434002030
72061606512440032
oct223005000731502
938683130574550
1010102434411330
113245466945408
121171b04a16316
1358386a111731
1426cd636098c2
15127bc2c4e9c0
hex9302803b342

10102434411330 has 24 divisors (see below), whose sum is σ = 26266329469692. Its totient is φ = 2693982509664.

The previous prime is 10102434411313. The next prime is 10102434411343. The reversal of 10102434411330 is 3311443420101.

10102434411330 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 243 + 4 + 411 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10078332780321 + 24101631009 = 3174639^2 + 155247^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102434411294 and 10102434411303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56124635529 + ... + 56124635708.

Almost surely, 210102434411330 is an apocalyptic number.

10102434411330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102434411330 is an abundant number, since it is smaller than the sum of its proper divisors (16163895058362).

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

10102434411330 is a wasteful number, since it uses less digits than its factorization.

10102434411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112249271250 (or 112249271247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10102434411330 its reverse (3311443420101), we get a palindrome (13413877831431).

The spelling of 10102434411330 in words is "ten trillion, one hundred two billion, four hundred thirty-four million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 112249271237 224498542474 336747813711 561246356185 673495627422 1010243441133 1122492712370 1683739068555 2020486882266 3367478137110 5051217205665 10102434411330