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2312003100 = 22352115313219
BaseRepresentation
bin1000100111001110…
…0101111000011100
312222010102221000110
42021303211320130
514213333044400
61021230130020
7111202462551
oct21163457034
95863387013
102312003100
11a8707a170
12546350910
132aacb8694
1417d0b4a28
15d7e92e50
hex89ce5e1c

2312003100 has 144 divisors (see below), whose sum is σ = 7435774080. Its totient is φ = 549868800.

The previous prime is 2312003093. The next prime is 2312003119. The reversal of 2312003100 is 13002132.

It is a happy number.

2312003100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23120031002 = 10690716668819220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168291 + ... + 181509.

It is an arithmetic number, because the mean of its divisors is an integer number (51637320).

Almost surely, 22312003100 is an apocalyptic number.

2312003100 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 2312003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717887040).

2312003100 is an abundant number, since it is smaller than the sum of its proper divisors (5123770980).

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

2312003100 is a wasteful number, since it uses less digits than its factorization.

2312003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13300 (or 13293 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2312003100 is about 48083.2933564247. The cubic root of 2312003100 is about 1322.2983946837.

Adding to 2312003100 its reverse (13002132), we get a palindrome (2325005232).

The spelling of 2312003100 in words is "two billion, three hundred twelve million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7950 8745 11660 13219 14575 15900 17490 26438 29150 34980 39657 43725 52876 58300 66095 79314 87450 132190 145409 158628 174900 198285 264380 290818 330475 396570 436227 581636 660950 700607 727045 793140 872454 991425 1321900 1401214 1454090 1744908 1982850 2101821 2181135 2802428 2908180 3503035 3635225 3965700 4203642 4362270 7006070 7270450 7706677 8407284 8724540 10509105 10905675 14012140 14540900 15413354 17515175 21018210 21811350 23120031 30826708 35030350 38533385 42036420 43622700 46240062 52545525 70060700 77066770 92480124 105091050 115600155 154133540 192666925 210182100 231200310 385333850 462400620 578000775 770667700 1156001550 2312003100