Search a number
-
+
101233120203331 = 1632275035439277
BaseRepresentation
bin10111000001001000101100…
…001010110101001001000011
3111021102210101012112021221121
4113001020230022311021003
5101232100412233001311
6555145504200133111
730215565043005664
oct2701105412651103
9437383335467847
10101233120203331
112a28a7a8238236
12b42b7a7167197
13446431c3758ac
141add9cdd1b36b
15ba848bebdb71
hex5c122c2b5243

101233120203331 has 16 divisors (see below), whose sum is σ = 102506283419904. Its totient is φ = 99969672001824.

The previous prime is 101233120203277. The next prime is 101233120203373. The reversal of 101233120203331 is 133302021332101.

It is a cyclic number.

It is not a de Polignac number, because 101233120203331 - 213 = 101233120195139 is a prime.

It is a super-2 number, since 2×1012331202033312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101233120203296 and 101233120203305.

It is not an unprimeable number, because it can be changed into a prime (101233120203031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15891865 + ... + 21331141.

It is an arithmetic number, because the mean of its divisors is an integer number (6406642713744).

Almost surely, 2101233120203331 is an apocalyptic number.

101233120203331 is a deficient number, since it is larger than the sum of its proper divisors (1273163216573).

101233120203331 is a wasteful number, since it uses less digits than its factorization.

101233120203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440170.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101233120203331 its reverse (133302021332101), we get a palindrome (234535141535432).

The spelling of 101233120203331 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred twenty million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 163 227 503 37001 81989 114181 5439277 18611503 886602151 1234715879 2735956331 201258688277 445960881953 621062087137 101233120203331