Search a number
-
+
10115122105032 = 233728601294307
BaseRepresentation
bin1001001100110001110001…
…0000101000101011001000
31022210222220020210010101020
42103030130100220223020
52311211232224330112
633302453431152440
72062536104161500
oct223143420505310
938728806703336
1010115122105032
11324a88780048a
121174465b15720
13584b0c8970b9
1426d8086baa00
151281b6a6148c
hex9331c428ac8

10115122105032 has 48 divisors (see below), whose sum is σ = 29416426533360. Its totient is φ = 2890034886816.

The previous prime is 10115122105021. The next prime is 10115122105061. The reversal of 10115122105032 is 23050122151101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10115122104993 and 10115122105011.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4300645978 + ... + 4300648329.

It is an arithmetic number, because the mean of its divisors is an integer number (612842219445).

Almost surely, 210115122105032 is an apocalyptic number.

10115122105032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10115122105032 is an abundant number, since it is smaller than the sum of its proper divisors (19301304428328).

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

10115122105032 is a wasteful number, since it uses less digits than its factorization.

10115122105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601294330 (or 8601294319 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 10115122105032 its reverse (23050122151101), we get a palindrome (33165244256133).

The spelling of 10115122105032 in words is "ten trillion, one hundred fifteen billion, one hundred twenty-two million, one hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 8601294307 17202588614 25803882921 34405177228 51607765842 60209060149 68810354456 103215531684 120418120298 180627180447 206431063368 240836240596 361254360894 421463421043 481672481192 722508721788 842926842086 1264390263129 1445017443576 1685853684172 2528780526258 3371707368344 5057561052516 10115122105032