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312122103100 = 225217935948571
BaseRepresentation
bin1001000101010111110…
…11010101010100111100
31002211122022210200001121
410202223323111110330
520103211224244400
6355215323520324
731356451046653
oct4425373252474
91084568720047
10312122103100
11110408876825
12505a90890a4
1323582375692
141116d06619a
1581bb9ed21a
hex48abed553c

312122103100 has 72 divisors (see below), whose sum is σ = 683000035200. Its totient is φ = 123802987200.

The previous prime is 312122103067. The next prime is 312122103127. The reversal of 312122103100 is 1301221213.

It is a super-2 number, since 2×3121221031002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6401815 + ... + 6450385.

It is an arithmetic number, because the mean of its divisors is an integer number (9486111600).

Almost surely, 2312122103100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312122103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341500017600).

312122103100 is an abundant number, since it is smaller than the sum of its proper divisors (370877932100).

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

312122103100 is a wasteful number, since it uses less digits than its factorization.

312122103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49123 (or 49116 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312122103100 its reverse (1301221213), we get a palindrome (313423324313).

It can be divided in two parts, 31212 and 2103100, that added together give a palindrome (2134312).

The spelling of 312122103100 in words is "three hundred twelve billion, one hundred twenty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 359 716 718 895 1436 1790 1795 3580 3590 4475 7180 8950 8975 17900 17950 35900 48571 64261 97142 128522 194284 242855 257044 321305 485710 642610 971420 1214275 1285220 1606525 2428550 3213050 4857100 6426100 8694209 17388418 17436989 34776836 34873978 43471045 69747956 86942090 87184945 173884180 174369890 217355225 348739780 434710450 435924725 869420900 871849450 1743698900 3121221031 6242442062 12484884124 15606105155 31212210310 62424420620 78030525775 156061051550 312122103100