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4012103400 = 233527019539
BaseRepresentation
bin1110111100100011…
…1101011011101000
3101100121110222012020
43233020331123220
531204044302100
61502041144440
7201265213314
oct35710753350
911317428166
104012103400
111779800738
1293b78b120
134bc29b7a6
142a0bc4b44
151873665a0
hexef23d6e8

4012103400 has 96 divisors (see below), whose sum is σ = 12456568800. Its totient is φ = 1068256000.

The previous prime is 4012103393. The next prime is 4012103423. The reversal of 4012103400 is 43012104.

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 4012103400.

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 23 ways as a sum of consecutive naturals, for example, 415831 + ... + 425369.

It is an arithmetic number, because the mean of its divisors is an integer number (129755925).

Almost surely, 24012103400 is an apocalyptic number.

4012103400 is a gapful number since it is divisible by the number (40) 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 4012103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228284400).

4012103400 is an abundant number, since it is smaller than the sum of its proper divisors (8444465400).

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

4012103400 is a wasteful number, since it uses less digits than its factorization.

4012103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4012103400 is about 63341.1667085475. The cubic root of 4012103400 is about 1589.0005189600. Note that the first 3 decimals are identical.

Adding to 4012103400 its reverse (43012104), we get a palindrome (4055115504).

The spelling of 4012103400 in words is "four billion, twelve million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 701 1402 2103 2804 3505 4206 5608 7010 8412 9539 10515 14020 16824 17525 19078 21030 28040 28617 35050 38156 42060 47695 52575 57234 70100 76312 84120 95390 105150 114468 140200 143085 190780 210300 228936 238475 286170 381560 420600 476950 572340 715425 953900 1144680 1430850 1907800 2861700 5723400 6686839 13373678 20060517 26747356 33434195 40121034 53494712 66868390 80242068 100302585 133736780 160484136 167170975 200605170 267473560 334341950 401210340 501512925 668683900 802420680 1003025850 1337367800 2006051700 4012103400