Search a number
-
+
102001101223014 = 23275871379101447
BaseRepresentation
bin10111001100010011111011…
…011001111011010001100110
3111101011012200010022022020100
4113030103323121323101212
5101332141223403114024
61000534354202444530
730325223242656120
oct2714237331732146
9441135603268210
10102001101223014
112a556473528124
12b5345b6503746
1344bb87c898866
141b28c45a3c210
15bbd4392c57c9
hex5cc4fb67b466

102001101223014 has 48 divisors (see below), whose sum is σ = 253004435244288. Its totient is φ = 29093524104816.

The previous prime is 102001101222971. The next prime is 102001101223019. The reversal of 102001101223014 is 410322101100201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001101223019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689476762 + ... + 689624685.

It is an arithmetic number, because the mean of its divisors is an integer number (5270925734256).

Almost surely, 2102001101223014 is an apocalyptic number.

102001101223014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102001101223014 is an abundant number, since it is smaller than the sum of its proper divisors (151003334021274).

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

102001101223014 is a wasteful number, since it uses less digits than its factorization.

102001101223014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379102049 (or 1379102046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102001101223014 its reverse (410322101100201), we get a palindrome (512323202323215).

The spelling of 102001101223014 in words is "one hundred two trillion, one billion, one hundred one million, two hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 587 1174 1761 3522 4109 5283 8218 10566 12327 24654 36981 73962 1379101447 2758202894 4137304341 8274608682 9653710129 12411913023 19307420258 24823826046 28961130387 57922260774 86883391161 173766782322 809532549389 1619065098778 2428597648167 4857195296334 5666727845723 7285792944501 11333455691446 14571585889002 17000183537169 34000367074338 51000550611507 102001101223014