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110300001000 = 2335375252381
BaseRepresentation
bin110011010111001100…
…1000111001011101000
3101112200222220121101020
41212232121013023220
53301343300013000
6122400543452440
710653223352640
oct1465631071350
9345628817336
10110300001000
1142861525322
12194632b7120
13a52a6c82a7
1454a4d97520
152d08606ba0
hex19ae6472e8

110300001000 has 128 divisors (see below), whose sum is σ = 393298364160. Its totient is φ = 25211424000.

The previous prime is 110300000953. The next prime is 110300001067. The reversal of 110300001000 is 100003011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 110300001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605191 + ... + 2647190.

It is an arithmetic number, because the mean of its divisors is an integer number (3072643470).

Almost surely, 2110300001000 is an apocalyptic number.

110300001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110300001000 is an abundant number, since it is smaller than the sum of its proper divisors (282998363160).

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

110300001000 is a wasteful number, since it uses less digits than its factorization.

110300001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252412 (or 5252398 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 110300001000 its reverse (100003011), we get a palindrome (110400004011).

The spelling of 110300001000 in words is "one hundred ten billion, three hundred million, one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 5252381 10504762 15757143 21009524 26261905 31514286 36766667 42019048 52523810 63028572 73533334 78785715 105047620 110300001 126057144 131309525 147066668 157571430 183833335 210095240 220600002 262619050 294133336 315142860 367666670 393928575 441200004 525238100 551500005 630285720 656547625 735333340 787857150 882400008 919166675 1050476200 1103000010 1313095250 1470666680 1575714300 1838333350 1969642875 2206000020 2626190500 2757500025 3151428600 3676666700 3939285750 4412000040 4595833375 5252381000 5515000050 7353333400 7878571500 9191666750 11030000100 13787500125 15757143000 18383333500 22060000200 27575000250 36766667000 55150000500 110300001000