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300110210101020 = 223511716404400557
BaseRepresentation
bin100010000111100101101101…
…0011101110110111100011100
31110100121020220112200210122110
41010033023122131312330130
5303314001202241213040
62542140421025114020
7120133150530044664
oct10417133235667434
91410536815623573
10300110210101020
1187696030821640
12297ab452188910
13cb5c36b2b4847
1454175a98ab1a4
1524a684e108980
hex110f2da776f1c

300110210101020 has 96 divisors (see below), whose sum is σ = 929611549794816. Its totient is φ = 71729286227200.

The previous prime is 300110210101003. The next prime is 300110210101061. The reversal of 300110210101020 is 20101012011003.

It is a super-2 number, since 2×3001102101010202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300110210100987 and 300110210101005.

It is a congruent number.

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, 3202153419 + ... + 3202247138.

It is an arithmetic number, because the mean of its divisors is an integer number (9683453643696).

Almost surely, 2300110210101020 is an apocalyptic number.

300110210101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300110210101020 is an abundant number, since it is smaller than the sum of its proper divisors (629501339693796).

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

300110210101020 is a wasteful number, since it uses less digits than its factorization.

300110210101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404400651 (or 6404400649 counting only the distinct ones).

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

Adding to 300110210101020 its reverse (20101012011003), we get a palindrome (320211222112023).

The spelling of 300110210101020 in words is "three hundred trillion, one hundred ten billion, two hundred ten million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 46860 6404400557 12808801114 19213201671 25617602228 32022002785 38426403342 64044005570 70448406127 76852806684 96066008355 128088011140 140896812254 192132016710 211345218381 281793624508 352242030635 384264033420 422690436762 454712439547 704484061270 845380873524 909424879094 1056726091905 1364137318641 1408968122540 1818849758188 2113452183810 2273562197735 2728274637282 4226904367620 4547124395470 5001836835017 5456549274564 6820686593205 9094248790940 10003673670034 13641373186410 15005510505051 20007347340068 25009184175085 27282746372820 30011021010102 50018368350170 60022042020204 75027552525255 100036736700340 150055105050510 300110210101020