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2311213300 = 22521171101293
BaseRepresentation
bin1000100111000010…
…0101000011110100
312222001221210121121
42021300211003310
514213132311200
61021201153324
7111162663124
oct21160450364
95861853547
102311213300
11a8668a840
1254602b844
132aaaa0046
1417cd4ac84
15d7d88e1a
hex89c250f4

2311213300 has 144 divisors (see below), whose sum is σ = 5622390144. Its totient is φ = 817600000.

The previous prime is 2311213283. The next prime is 2311213327. The reversal of 2311213300 is 33121132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7887954 + ... + 7888246.

It is an arithmetic number, because the mean of its divisors is an integer number (39044376).

Almost surely, 22311213300 is an apocalyptic number.

2311213300 is a gapful number since it is divisible by the number (20) 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 2311213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811195072).

2311213300 is an abundant number, since it is smaller than the sum of its proper divisors (3311176844).

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

2311213300 is a wasteful number, since it uses less digits than its factorization.

2311213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2311213300 is about 48075.0798231267. The cubic root of 2311213300 is about 1322.1478080612.

Adding to 2311213300 its reverse (33121132), we get a palindrome (2344334432).

The spelling of 2311213300 in words is "two billion, three hundred eleven million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 101 110 142 202 220 275 284 293 355 404 505 550 586 710 781 1010 1100 1111 1172 1420 1465 1562 1775 2020 2222 2525 2930 3124 3223 3550 3905 4444 5050 5555 5860 6446 7100 7171 7325 7810 10100 11110 12892 14342 14650 15620 16115 19525 20803 22220 27775 28684 29300 29593 32230 35855 39050 41606 55550 59186 64460 71710 78100 78881 80575 83212 104015 111100 118372 143420 147965 157762 161150 179275 208030 228833 295930 315524 322300 325523 358550 394405 416060 457666 520075 591860 651046 717100 739825 788810 915332 1040150 1144165 1302092 1479650 1577620 1627615 1972025 2080300 2101103 2288330 2959300 3255230 3944050 4202206 4576660 5720825 6510460 7888100 8138075 8404412 10505515 11441650 16276150 21011030 22883300 23112133 32552300 42022060 46224266 52527575 92448532 105055150 115560665 210110300 231121330 462242660 577803325 1155606650 2311213300