Search a number
-
+
101233021014234 = 23218262730795319
BaseRepresentation
bin10111000001001000100110…
…010000011101000011011010
3111021102210010021212222002100
4113001020212100131003122
5101232100211334423414
6555145450254144230
730215562426631644
oct2701104620350332
9437383107788070
10101233021014234
112a28a75724aa7a
12b42b779ab2076
134464304957215
141add9c0a9b894
15ba8483429609
hex5c122641d0da

101233021014234 has 24 divisors (see below), whose sum is σ = 219339420337440. Its totient is φ = 33744154470408.

The previous prime is 101233021014221. The next prime is 101233021014247. The reversal of 101233021014234 is 432410120332101.

101233021014234 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 3 + 0 + 210 + 1 + 423 + 4 = 666.

101233021014234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101233021014221) and next prime (101233021014247).

It is a junction number, because it is equal to n+sod(n) for n = 101233021014198 and 101233021014207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12110374 + ... + 18684945.

It is an arithmetic number, because the mean of its divisors is an integer number (9139142514060).

Almost surely, 2101233021014234 is an apocalyptic number.

101233021014234 is an abundant number, since it is smaller than the sum of its proper divisors (118106399323206).

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

101233021014234 is a wasteful number, since it uses less digits than its factorization.

101233021014234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30977954 (or 30977951 counting only the distinct ones).

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

Adding to 101233021014234 its reverse (432410120332101), we get a palindrome (533643141346335).

The spelling of 101233021014234 in words is "one hundred one trillion, two hundred thirty-three billion, twenty-one million, fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 182627 365254 547881 1095762 1643643 3287286 30795319 61590638 92385957 184771914 277157871 554315742 5624056723013 11248113446026 16872170169039 33744340338078 50616510507117 101233021014234