Search a number
-
+
102301112200431 = 3232566435776993
BaseRepresentation
bin10111010000101011010101…
…011100111110110011101111
3111102012220001101220001011110
4113100223111130332303233
5101402100134210403211
61001324252051123103
730356003633131554
oct2720532534766357
9442186041801143
10102301112200431
112a661726941971
12b5827835a3493
134510c51a6bb81
141b395863daa2b
15bc6147901ea6
hex5d0ad573ecef

102301112200431 has 16 divisors (see below), whose sum is σ = 142332561421056. Its totient is φ = 65235226358016.

The previous prime is 102301112200411. The next prime is 102301112200457. The reversal of 102301112200431 is 134002211103201.

It is not a de Polignac number, because 102301112200431 - 26 = 102301112200367 is a prime.

It is a super-2 number, since 2×1023011122004312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102301112200398 and 102301112200407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301112200411) 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 15 ways as a sum of consecutive naturals, for example, 14819871 + ... + 20596863.

It is an arithmetic number, because the mean of its divisors is an integer number (8895785088816).

Almost surely, 2102301112200431 is an apocalyptic number.

102301112200431 is a deficient number, since it is larger than the sum of its proper divisors (40031449220625).

102301112200431 is a wasteful number, since it uses less digits than its factorization.

102301112200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033662.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102301112200431 its reverse (134002211103201), we get a palindrome (236303323303632).

The spelling of 102301112200431 in words is "one hundred two trillion, three hundred one billion, one hundred twelve million, two hundred thousand, four hundred thirty-one".

Divisors: 1 3 23 69 256643 769929 5776993 5902789 17330979 17708367 132870839 398612517 1482624814499 4447874443497 34100370733477 102301112200431