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102123102300 = 223521632088407
BaseRepresentation
bin101111100011100000…
…0101110000001011100
3100202121010122010002020
41133013000232001130
53133122003233200
6114525324300140
710243464022062
oct1370700560134
9322533563066
10102123102300
113a3459132aa
12179609a1650
139826628aab
144d2b002032
1529ca816ea0
hex17c702e05c

102123102300 has 72 divisors (see below), whose sum is σ = 297289055616. Its totient is φ = 27065741760.

The previous prime is 102123102283. The next prime is 102123102307. The reversal of 102123102300 is 3201321201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102123102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123102307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995304 + ... + 1093103.

Almost surely, 2102123102300 is an apocalyptic number.

102123102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123102300 is an abundant number, since it is smaller than the sum of its proper divisors (195165953316).

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

102123102300 is a wasteful number, since it uses less digits than its factorization.

102123102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088587 (or 2088580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102123102300 its reverse (3201321201), we get a palindrome (105324423501).

The spelling of 102123102300 in words is "one hundred two billion, one hundred twenty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 978 1630 1956 2445 3260 4075 4890 8150 9780 12225 16300 24450 48900 2088407 4176814 6265221 8353628 10442035 12530442 20884070 25060884 31326105 41768140 52210175 62652210 104420350 125304420 156630525 208840700 313261050 340410341 626522100 680820682 1021231023 1361641364 1702051705 2042462046 3404103410 4084924092 5106155115 6808206820 8510258525 10212310230 17020517050 20424620460 25530775575 34041034100 51061551150 102123102300