Search a number
-
+
102104004030432 = 2534801221533717
BaseRepresentation
bin10111001101110011110000…
…111000111110111111100000
3111101112001021121002112122220
4113031303300320332333200
5101340333000012433212
61001053533143031040
730335525255260035
oct2715636070767740
9441461247075586
10102104004030432
112a59607947a418
12b55053443b480
1344c849b8bcb11
141b2dc0840538c
15bc0e5d2a638c
hex5cdcf0e3efe0

102104004030432 has 48 divisors (see below), whose sum is σ = 268078838286672. Its totient is φ = 34027578777600.

The previous prime is 102104004030419. The next prime is 102104004030437. The reversal of 102104004030432 is 234030400401201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104004030437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110305963 + ... + 111227754.

It is an arithmetic number, because the mean of its divisors is an integer number (5584975797639).

Almost surely, 2102104004030432 is an apocalyptic number.

102104004030432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102104004030432 is an abundant number, since it is smaller than the sum of its proper divisors (165974834256240).

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

102104004030432 is a wasteful number, since it uses less digits than its factorization.

102104004030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221538531 (or 221538523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102104004030432 its reverse (234030400401201), we get a palindrome (336134404431633).

The spelling of 102104004030432 in words is "one hundred two trillion, one hundred four billion, four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4801 9602 14403 19204 28806 38408 57612 76816 115224 153632 230448 460896 221533717 443067434 664601151 886134868 1329202302 1772269736 2658404604 3544539472 5316809208 7089078944 10633618416 21267236832 1063583375317 2127166750634 3190750125951 4254333501268 6381500251902 8508667002536 12763000503804 17017334005072 25526001007608 34034668010144 51052002015216 102104004030432