Search a number
-
+
102433431014420 = 225111011146049501
BaseRepresentation
bin10111010010100110100100…
…010001001100110000010100
3111102200112120221002020120212
4113102212210101030300110
5101411232131314430140
61001505134002344552
730401366624366552
oct2722464421146024
9442615527066525
10102433431014420
112a7028574122a0
12b5a435095b158
13452057b17518c
141b41b39830bd2
15bc97de101765
hex5d29a444cc14

102433431014420 has 48 divisors (see below), whose sum is σ = 234688892368896. Its totient is φ = 37244835600000.

The previous prime is 102433431014419. The next prime is 102433431014423. The reversal of 102433431014420 is 24410134334201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102433431014423) 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, 20800331 + ... + 25249170.

It is an arithmetic number, because the mean of its divisors is an integer number (4889351924352).

Almost surely, 2102433431014420 is an apocalyptic number.

102433431014420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102433431014420 is an abundant number, since it is smaller than the sum of its proper divisors (132255461354476).

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

102433431014420 is a wasteful number, since it uses less digits than its factorization.

102433431014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46059632 (or 46059630 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 102433431014420 its reverse (24410134334201), we get a palindrome (126843565348621).

The spelling of 102433431014420 in words is "one hundred two trillion, four hundred thirty-three billion, four hundred thirty-one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 10111 20222 40444 50555 101110 111221 202220 222442 444884 556105 1112210 2224420 46049501 92099002 184198004 230247505 460495010 506544511 920990020 1013089022 2026178044 2532722555 5065445110 10130890220 465606504611 931213009222 1862426018444 2328032523055 4656065046110 5121671550721 9312130092220 10243343101442 20486686202884 25608357753605 51216715507210 102433431014420