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10300102223020 = 2251759641801037
BaseRepresentation
bin1001010111100010110111…
…1011110010010010101100
31100110200100211111202012021
42111320231323302102230
52322224102132114040
633523445053115524
72112105064221151
oct225705573622254
940420324452167
1010300102223020
1133112811aaa55
1211a428b488ba4
135993ac1c870c
14278755a80228
1512cde159524a
hex95e2def24ac

10300102223020 has 96 divisors (see below), whose sum is σ = 23327123722560. Its totient is φ = 3806010408960.

The previous prime is 10300102222987. The next prime is 10300102223041. The reversal of 10300102223020 is 2032220100301.

It is a junction number, because it is equal to n+sod(n) for n = 10300102222985 and 10300102223003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12457942 + ... + 13258978.

It is an arithmetic number, because the mean of its divisors is an integer number (242990872110).

Almost surely, 210300102223020 is an apocalyptic number.

10300102223020 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 10300102223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663561861280).

10300102223020 is an abundant number, since it is smaller than the sum of its proper divisors (13027021499540).

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

10300102223020 is a wasteful number, since it uses less digits than its factorization.

10300102223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801763 (or 801761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10300102223020 its reverse (2032220100301), we get a palindrome (12332322323321).

The spelling of 10300102223020 in words is "ten trillion, three hundred billion, one hundred two million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 641 1003 1180 1282 2006 2564 3205 4012 5015 6410 10030 10897 12820 20060 21794 37819 43588 54485 75638 108970 151276 189095 217940 378190 642923 756380 801037 1285846 1602074 2571692 3204148 3214615 4005185 6429230 8010370 12858460 13617629 16020740 27235258 47261183 54470516 68088145 94522366 136176290 189044732 236305915 272352580 472611830 513464717 803440111 945223660 1026929434 1606880222 2053858868 2567323585 3213760444 4017200555 5134647170 8034401110 8728900189 10269294340 16068802220 17457800378 30294418303 34915600756 43644500945 60588836606 87289001890 121177673212 151472091515 174578003780 302944183030 515005111151 605888366060 1030010222302 2060020444604 2575025555755 5150051111510 10300102223020