Search a number
-
+
102401234320 = 24571116623577
BaseRepresentation
bin101111101011110010…
…1101101010110010000
3100210022111222200111011
41133113211231112100
53134204203444240
6115013101500304
710253412062440
oct1372745552620
9323274880434
10102401234320
113a478910a80
1217a19b71694
13986c13b158
144d55d22120
1529e4e566ea
hex17d796d590

102401234320 has 80 divisors (see below), whose sum is σ = 296830608768. Its totient is φ = 31917265920.

The previous prime is 102401234303. The next prime is 102401234329. The reversal of 102401234320 is 23432104201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102401234291 and 102401234300.

It is not an unprimeable number, because it can be changed into a prime (102401234329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8305629 + ... + 8317948.

Almost surely, 2102401234320 is an apocalyptic number.

102401234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102401234320 is an abundant number, since it is smaller than the sum of its proper divisors (194429374448).

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

102401234320 is a wasteful number, since it uses less digits than its factorization.

102401234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16623608 (or 16623602 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102401234320 its reverse (23432104201), we get a palindrome (125833338521).

The spelling of 102401234320 in words is "one hundred two billion, four hundred one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 16623577 33247154 66494308 83117885 116365039 132988616 166235770 182859347 232730078 265977232 332471540 365718694 465460156 581825195 664943080 731437388 914296735 930920312 1163650390 1280015429 1329886160 1462874776 1828593470 1861840624 2327300780 2560030858 2925749552 3657186940 4654601560 5120061716 6400077145 7314373880 9309203120 10240123432 12800154290 14628747760 20480246864 25600308580 51200617160 102401234320