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102001101023223 = 3241927048820213
BaseRepresentation
bin10111001100010011111011…
…011001001010011111110111
3111101011012200002221011011200
4113030103323121022133313
5101332141223330220343
61000534354154303543
730325223241164463
oct2714237331123767
9441135602834150
10102001101023223
112a556473401006
12b5345b6427bb3
1344bb87c82893c
141b28c459c94a3
15bbd4392864d3
hex5cc4fb64a7f7

102001101023223 has 12 divisors (see below), whose sum is σ = 147686558368440. Its totient is φ = 67838441091696.

The previous prime is 102001101023149. The next prime is 102001101023231. The reversal of 102001101023223 is 322320101100201.

It is not a de Polignac number, because 102001101023223 - 238 = 101726223116279 is a prime.

It is a super-3 number, since 3×1020011010232233 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001101023196 and 102001101023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001101023023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13524406336 + ... + 13524413877.

It is an arithmetic number, because the mean of its divisors is an integer number (12307213197370).

Almost surely, 2102001101023223 is an apocalyptic number.

102001101023223 is a deficient number, since it is larger than the sum of its proper divisors (45685457345217).

102001101023223 is a wasteful number, since it uses less digits than its factorization.

102001101023223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27048820638 (or 27048820635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102001101023223 its reverse (322320101100201), we get a palindrome (424321202123424).

The spelling of 102001101023223 in words is "one hundred two trillion, one billion, one hundred one million, twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 419 1257 3771 27048820213 81146460639 243439381917 11333455669247 34000367007741 102001101023223