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10302020000 = 25544671103
BaseRepresentation
bin10011001100000110…
…00101100110100000
3222120222001211200022
421212003011212200
5132044304120000
64422132013012
7513202503506
oct114603054640
928528054608
1010302020000
114407249118
121bb6161168
13c8244482c
146da300676
1540466a585
hex2660c59a0

10302020000 has 120 divisors (see below), whose sum is σ = 25421812416. Its totient is φ = 4108256000.

The previous prime is 10302019991. The next prime is 10302020063. The reversal of 10302020000 is 2020301.

It is a super-2 number, since 2×103020200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10302020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9339449 + ... + 9340551.

Almost surely, 210302020000 is an apocalyptic number.

10302020000 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 10302020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710906208).

10302020000 is an abundant number, since it is smaller than the sum of its proper divisors (15119792416).

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

10302020000 is an equidigital number, since it uses as much as digits as its factorization.

10302020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10302020000 its reverse (2020301), we get a palindrome (10304040301).

The spelling of 10302020000 in words is "ten billion, three hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 467 500 625 800 934 1000 1103 1250 1868 2000 2206 2335 2500 3736 4000 4412 4670 5000 5515 7472 8824 9340 10000 11030 11675 14944 17648 18680 20000 22060 23350 27575 35296 37360 44120 46700 55150 58375 74720 88240 93400 110300 116750 137875 176480 186800 220600 233500 275750 291875 373600 441200 467000 515101 551500 583750 689375 882400 934000 1030202 1103000 1167500 1378750 1868000 2060404 2206000 2335000 2575505 2757500 4120808 4412000 4670000 5151010 5515000 8241616 9340000 10302020 11030000 12877525 16483232 20604040 22060000 25755050 41208080 51510100 64387625 82416160 103020200 128775250 206040400 257550500 321938125 412080800 515101000 643876250 1030202000 1287752500 2060404000 2575505000 5151010000 10302020000