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10002300302320 = 245232239988909
BaseRepresentation
bin1001000110001101011110…
…0011100111001111110000
31022102012200111122201101121
42101203113203213033300
52302334202334133240
633134554320312024
72051433216525124
oct221432743471760
938365614581347
1010002300302320
113206a51841217
12115661a172614
1357729c8a8161
14268184839584
151252b1d7404a
hex918d78e73f0

10002300302320 has 120 divisors (see below), whose sum is σ = 24412153147200. Its totient is φ = 3810950803968.

The previous prime is 10002300302317. The next prime is 10002300302417. The reversal of 10002300302320 is 2320300320001.

It is a super-2 number, since 2×100023003023202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10002300302294 and 10002300302303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9620026 + ... + 10608934.

It is an arithmetic number, because the mean of its divisors is an integer number (203434609560).

Almost surely, 210002300302320 is an apocalyptic number.

10002300302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002300302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206076573600).

10002300302320 is an abundant number, since it is smaller than the sum of its proper divisors (14409852844880).

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

10002300302320 is a wasteful number, since it uses less digits than its factorization.

10002300302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989207 (or 989178 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10002300302320 its reverse (2320300320001), we get a palindrome (12322600622321).

The spelling of 10002300302320 in words is "ten trillion, two billion, three hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 239 368 460 478 529 920 956 1058 1195 1840 1912 2116 2390 2645 3824 4232 4780 5290 5497 8464 9560 10580 10994 19120 21160 21988 27485 42320 43976 54970 87952 109940 126431 219880 252862 439760 505724 632155 988909 1011448 1264310 1977818 2022896 2528620 3955636 4944545 5057240 7911272 9889090 10114480 15822544 19778180 22744907 39556360 45489814 79112720 90979628 113724535 181959256 227449070 236349251 363918512 454898140 472698502 523132861 909796280 945397004 1046265722 1181746255 1819592560 1890794008 2092531444 2363492510 2615664305 3781588016 4185062888 4726985020 5231328610 5436032773 8370125776 9453970040 10462657220 10872065546 18907940080 20925314440 21744131092 27180163865 41850628880 43488262184 54360327730 86976524368 108720655460 125028753779 217441310920 250057507558 434882621840 500115015116 625143768895 1000230030232 1250287537790 2000460060464 2500575075580 5001150151160 10002300302320