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10302300132320 = 255759155906479
BaseRepresentation
bin1001010111101011000011…
…1100001001001111100000
31100110220001000021002221102
42111322300330021033200
52322243102313213240
633524451130013532
72112213413152040
oct225726074111740
940426030232842
1010302300132320
1133121a9931819
1211a47a35772a8
1359966c677571
142788c3935720
1512cebe4ec815
hex95eb0f093e0

10302300132320 has 96 divisors (see below), whose sum is σ = 28287671731200. Its totient is φ = 3472349078016.

The previous prime is 10302300132301. The next prime is 10302300132419. The reversal of 10302300132320 is 2323100320301.

It is a super-2 number, since 2×103023001323202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10302300132292 and 10302300132301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77887160 + ... + 78019319.

It is an arithmetic number, because the mean of its divisors is an integer number (294663247200).

Almost surely, 210302300132320 is an apocalyptic number.

10302300132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302300132320 is an abundant number, since it is smaller than the sum of its proper divisors (17985371598880).

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

10302300132320 is a wasteful number, since it uses less digits than its factorization.

10302300132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155906560 (or 155906552 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10302300132320 its reverse (2323100320301), we get a palindrome (12625400452621).

The spelling of 10302300132320 in words is "ten trillion, three hundred two billion, three hundred million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 4130 4720 6608 8260 9440 13216 16520 33040 66080 155906479 311812958 623625916 779532395 1091345353 1247251832 1559064790 2182690706 2494503664 3118129580 4365381412 4989007328 5456726765 6236259160 8730762824 9198482261 10913453530 12472518320 17461525648 18396964522 21826907060 24945036640 34923051296 36793929044 43653814120 45992411305 64389375827 73587858088 87307628240 91984822610 128778751654 147175716176 174615256480 183969645220 257557503308 294351432352 321946879135 367939290440 515115006616 643893758270 735878580880 1030230013232 1287787516540 1471757161760 2060460026464 2575575033080 5151150066160 10302300132320