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1312244023100 = 2252192961390421
BaseRepresentation
bin10011000110000111110…
…101101011111100111100
311122110010112122021100012
4103012013311223330330
5132444433432214400
62442500411322352
7163543426104623
oct23060765537474
94573115567305
101312244023100
114665795a4a4a
121923a3a503b8
139698998b01a
14477277686ba
1524203ce8d35
hex13187d6bf3c

1312244023100 has 144 divisors (see below), whose sum is σ = 3151642552800. Its totient is φ = 472252032000.

The previous prime is 1312244023093. The next prime is 1312244023117. The reversal of 1312244023100 is 13204422131.

It is a super-2 number, since 2×13122440231002 (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 3165890 + ... + 3556310.

Almost surely, 21312244023100 is an apocalyptic number.

1312244023100 is a gapful number since it is divisible by the number (10) 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 1312244023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575821276400).

1312244023100 is an abundant number, since it is smaller than the sum of its proper divisors (1839398529700).

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

1312244023100 is a wasteful number, since it uses less digits than its factorization.

1312244023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390544 (or 390537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1312244023100 its reverse (13204422131), we get a palindrome (1325448445231).

The spelling of 1312244023100 in words is "one trillion, three hundred twelve billion, two hundred forty-four million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 61 76 95 100 116 122 145 190 244 290 305 380 475 551 580 610 725 950 1102 1159 1220 1450 1525 1769 1900 2204 2318 2755 2900 3050 3538 4636 5510 5795 6100 7076 8845 11020 11590 13775 17690 23180 27550 28975 33611 35380 44225 55100 57950 67222 88450 115900 134444 168055 176900 336110 390421 672220 780842 840275 1561684 1680550 1952105 3361100 3904210 7417999 7808420 9760525 11322209 14835998 19521050 22644418 23815681 29671996 37089995 39042100 45288836 47631362 56611045 74179990 95262724 113222090 119078405 148359980 185449975 215121971 226444180 238156810 283055225 370899950 430243942 452497939 476313620 566110450 595392025 690654749 741799900 860487884 904995878 1075609855 1132220900 1190784050 1381309498 1809991756 2151219710 2262489695 2381568100 2762618996 3453273745 4302439420 4524979390 5378049275 6906547490 9049958780 10756098550 11312448475 13122440231 13813094980 17266368725 21512197100 22624896950 26244880462 34532737450 45249793900 52489760924 65612201155 69065474900 131224402310 262448804620 328061005775 656122011550 1312244023100