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102100232304 = 24327550118413
BaseRepresentation
bin101111100010110100…
…1011110100001110000
3100202112112121012100100
41133011221132201300
53133100124413204
6114523150152400
710243065440520
oct1370551364160
9322475535310
10102100232304
113a333a12784
12179551b2700
13982197c255
144d27d6b680
1529c87eaa39
hex17c5a5e870

102100232304 has 120 divisors (see below), whose sum is σ = 326635781472. Its totient is φ = 29164608000.

The previous prime is 102100232291. The next prime is 102100232309. The reversal of 102100232304 is 403232001201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100232309) 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 23 ways as a sum of consecutive naturals, for example, 5535802 + ... + 5554214.

Almost surely, 2102100232304 is an apocalyptic number.

102100232304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102100232304 is an abundant number, since it is smaller than the sum of its proper divisors (224535549168).

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

102100232304 is a wasteful number, since it uses less digits than its factorization.

102100232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23935 (or 23926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102100232304 its reverse (403232001201), we get a palindrome (505332233505).

The spelling of 102100232304 in words is "one hundred two billion, one hundred million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 5501 11002 16503 18413 22004 33006 36826 38507 44008 49509 55239 66012 73652 77014 88016 99018 110478 115521 128891 132024 147304 154028 165717 198036 220956 231042 257782 264048 294608 308056 331434 346563 386673 396072 441912 462084 515564 616112 662868 693126 773346 792144 883824 924168 1031128 1160019 1325736 1386252 1546692 1848336 2062256 2320038 2651472 2772504 3093384 4640076 5545008 6186768 9280152 18560304 101289913 202579826 303869739 405159652 607739478 709029391 810319304 911609217 1215478956 1418058782 1620638608 1823218434 2127088173 2430957912 2836117564 3646436868 4254176346 4861915824 5672235128 6381264519 7292873736 8508352692 11344470256 12762529038 14585747472 17016705384 25525058076 34033410768 51050116152 102100232304