Search a number
-
+
10182120888505 = 519294385950457
BaseRepresentation
bin1001010000101011010110…
…1100101101100010111001
31100001101211111210222011011
42110022311230231202321
52313310440421413010
633353333551433521
72100430306350646
oct224126554554271
940041744728134
1010182120888505
113276238881115
1211854438258a1
1358b2292c2587
14272b62890dcd
15129cd893ca8a
hex942b5b2d8b9

10182120888505 has 32 divisors (see below), whose sum is σ = 13614552547200. Its totient is φ = 7277597010432.

The previous prime is 10182120888491. The next prime is 10182120888517. The reversal of 10182120888505 is 50588802128101.

10182120888505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10182120888505 - 213 = 10182120880313 is a prime.

It is a super-2 number, since 2×101821208885052 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42856764 + ... + 43093693.

It is an arithmetic number, because the mean of its divisors is an integer number (425454767100).

Almost surely, 210182120888505 is an apocalyptic number.

It is an amenable number.

10182120888505 is a deficient number, since it is larger than the sum of its proper divisors (3432431658695).

10182120888505 is a wasteful number, since it uses less digits than its factorization.

10182120888505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85950553.

The product of its (nonzero) digits is 409600, while the sum is 49.

The spelling of 10182120888505 in words is "ten trillion, one hundred eighty-two billion, one hundred twenty million, eight hundred eighty-eight thousand, five hundred five".

Divisors: 1 5 19 29 43 95 145 215 551 817 1247 2755 4085 6235 23693 118465 85950457 429752285 1633058683 2492563253 3695869651 8165293415 12462816265 18479348255 47358701807 70221523369 107180219879 236793509035 351107616845 535901099395 2036424177701 10182120888505