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103213232132023 = 13313759117321227
BaseRepresentation
bin10111011101111100110100…
…000010011000111110110111
3111112110002101121110102222001
4113131330310002120332313
5102012021144411211043
61003303300530520131
730511624052463616
oct2735746402307667
9445402347412861
10103213232132023
112a983538858752
12b6ab4ba736047
134578c73491520
141b6b7932dd87d
15bdec2de8e74d
hex5ddf34098fb7

103213232132023 has 32 divisors (see below), whose sum is σ = 119836595128320. Its totient is φ = 88188019159680.

The previous prime is 103213232131981. The next prime is 103213232132033. The reversal of 103213232132023 is 320231232312301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103213232132023 - 217 = 103213232000951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103213232131982 and 103213232132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213232132033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57780865 + ... + 59540362.

It is an arithmetic number, because the mean of its divisors is an integer number (3744893597760).

Almost surely, 2103213232132023 is an apocalyptic number.

103213232132023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103213232132023 is a deficient number, since it is larger than the sum of its proper divisors (16623362996297).

103213232132023 is a wasteful number, since it uses less digits than its factorization.

103213232132023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117321367.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 103213232132023 its reverse (320231232312301), we get a palindrome (423444464444324).

The spelling of 103213232132023 in words is "one hundred three trillion, two hundred thirteen billion, two hundred thirty-two million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 13 31 37 59 403 481 767 1147 1829 2183 14911 23777 28379 67673 879749 117321227 1525175951 3636958037 4340885399 6921952393 47280454481 56431510187 89985381109 134567447369 214580524183 256112238541 1749376815797 2789546814379 3329459101033 7939479394771 103213232132023