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300113123100 = 223527831717183
BaseRepresentation
bin1000101111000000010…
…00101101011100011100
31001200122101210021110120
410113200020231130130
514404112424414400
6345511533434540
730453040312320
oct4274010553434
91050571707416
10300113123100
1110630604136a
124a1b733ba50
13223ba3b865b
141075018b980
157c175a6ca0
hex45e022d71c

300113123100 has 144 divisors (see below), whose sum is σ = 992551139328. Its totient is φ = 68585045760.

The previous prime is 300113123099. The next prime is 300113123113. The reversal of 300113123100 is 1321311003.

It is a super-2 number, since 2×3001131231002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300113123100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17457109 + ... + 17474291.

Almost surely, 2300113123100 is an apocalyptic number.

300113123100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300113123100 is an abundant number, since it is smaller than the sum of its proper divisors (692438016228).

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

300113123100 is a wasteful number, since it uses less digits than its factorization.

300113123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25524 (or 25517 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 300113123100 its reverse (1321311003), we get a palindrome (301434434103).

The spelling of 300113123100 in words is "three hundred billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 8317 16634 17183 24951 33268 34366 41585 49902 51549 58219 68732 83170 85915 99804 103098 116438 120281 124755 166340 171830 174657 206196 207925 232876 240562 249510 257745 291095 343660 349314 360843 415850 429575 481124 499020 515490 582190 601405 623775 698628 721686 831700 859150 873285 1030980 1164380 1202810 1247550 1288725 1443372 1455475 1718300 1746570 1804215 2405620 2495100 2577450 2910950 3007025 3493140 3608430 4366425 5154900 5821900 6014050 7216860 8732850 9021075 12028100 17465700 18042150 36084300 142911011 285822022 428733033 571644044 714555055 857466066 1000377077 1429110110 1714932132 2000754154 2143665165 2858220220 3001131231 3572775275 4001508308 4287330330 5001885385 6002262462 7145550550 8574660660 10003770770 10718325825 12004524924 14291101100 15005656155 20007541540 21436651650 25009426925 30011312310 42873303300 50018853850 60022624620 75028280775 100037707700 150056561550 300113123100