Search a number
-
+
101214414413232 = 2436833087311323
BaseRepresentation
bin10111000000110111010001…
…001101111001110110110000
3111021101000002120021200220220
4113000313101031321312300
5101231244110042210412
6555133132102133040
730214333354265541
oct2700672115716660
9437330076250826
10101214414413232
112a28287931127a
12b428046721180
13446262ab59643
141adcb3788a4c8
15ba7c44b9c68c
hex5c0dd1379db0

101214414413232 has 40 divisors (see below), whose sum is σ = 261853397256384. Its totient is φ = 33688741145664.

The previous prime is 101214414413213. The next prime is 101214414413279. The reversal of 101214414413232 is 232314414412101.

It is a junction number, because it is equal to n+sod(n) for n = 101214414413193 and 101214414413202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543622878 + ... + 1543688445.

Almost surely, 2101214414413232 is an apocalyptic number.

101214414413232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101214414413232 is an abundant number, since it is smaller than the sum of its proper divisors (160638982843152).

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

101214414413232 is a wasteful number, since it uses less digits than its factorization.

101214414413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087312017 (or 3087312011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 101214414413232 its reverse (232314414412101), we get a palindrome (333528828825333).

The spelling of 101214414413232 in words is "one hundred one trillion, two hundred fourteen billion, four hundred fourteen million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 683 1366 2049 2732 4098 5464 8196 10928 16392 32784 3087311323 6174622646 9261933969 12349245292 18523867938 24698490584 37047735876 49396981168 74095471752 148190943504 2108633633609 4217267267218 6325900900827 8434534534436 12651801801654 16869069068872 25303603603308 33738138137744 50607207206616 101214414413232