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102003332300320 = 25511113512888839
BaseRepresentation
bin10111001100010110000000…
…011000110011111000100000
3111101011102102121110202221011
4113030112000120303320200
5101332210311032102240
61000535403422310304
730325332443551513
oct2714260030637040
9441142377422834
10102003332300320
112a557408953570
12b534b19728394
1344bbb46b8b649
141b28db8088d7a
15bbd51a0d06ea
hex5cc580633e20

102003332300320 has 96 divisors (see below), whose sum is σ = 265216870719360. Its totient is φ = 36763871907840.

The previous prime is 102003332300279. The next prime is 102003332300377. The reversal of 102003332300320 is 23003233300201.

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 = 102003332300291 and 102003332300300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 256245540 + ... + 256643299.

It is an arithmetic number, because the mean of its divisors is an integer number (2762675736660).

Almost surely, 2102003332300320 is an apocalyptic number.

102003332300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003332300320 is an abundant number, since it is smaller than the sum of its proper divisors (163213538419040).

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

102003332300320 is a wasteful number, since it uses less digits than its factorization.

102003332300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512888978 (or 512888970 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 102003332300320 its reverse (23003233300201), we get a palindrome (125006565600521).

The spelling of 102003332300320 in words is "one hundred two trillion, three billion, three hundred thirty-two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 113 160 176 220 226 352 440 452 565 880 904 1130 1243 1760 1808 2260 2486 3616 4520 4972 6215 9040 9944 12430 18080 19888 24860 39776 49720 99440 198880 512888839 1025777678 2051555356 2564444195 4103110712 5128888390 5641777229 8206221424 10257776780 11283554458 16412442848 20515553560 22567108916 28208886145 41031107120 45134217832 56417772290 57956438807 82062214240 90268435664 112835544580 115912877614 180536871328 225671089160 231825755228 289782194035 451342178320 463651510456 579564388070 637520826877 902684356640 927303020912 1159128776140 1275041653754 1854606041824 2318257552280 2550083307508 3187604134385 4636515104560 5100166615016 6375208268770 9273030209120 10200333230032 12750416537540 20400666460064 25500833075080 51001666150160 102003332300320