Search a number
-
+
10131121210200 = 2335219888694843
BaseRepresentation
bin1001001101101101010111…
…1000011000001101011000
31022212112012020220212200220
42103123111320120031120
52311442014012211300
633314101155400040
72063643425264124
oct223332570301530
938775166825626
1010131121210200
113256647894a51
12117758bbb3020
1358648c3c8c33
142704c5498584
1512880142bda0
hex936d5e18358

10131121210200 has 96 divisors (see below), whose sum is σ = 33059448196800. Its totient is φ = 2559441144960.

The previous prime is 10131121210187. The next prime is 10131121210213. The reversal of 10131121210200 is 201212113101.

It is an interprime number because it is at equal distance from previous prime (10131121210187) and next prime (10131121210213).

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 10131121210200.

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, 444336022 + ... + 444358821.

It is an arithmetic number, because the mean of its divisors is an integer number (344369252050).

Almost surely, 210131121210200 is an apocalyptic number.

10131121210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131121210200 is an abundant number, since it is smaller than the sum of its proper divisors (22928326986600).

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

10131121210200 is a wasteful number, since it uses less digits than its factorization.

10131121210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888694881 (or 888694872 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10131121210200 its reverse (201212113101), we get a palindrome (10332333323301).

The spelling of 10131121210200 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 888694843 1777389686 2666084529 3554779372 4443474215 5332169058 7109558744 8886948430 10664338116 13330422645 16885202017 17773896860 21328676232 22217371075 26660845290 33770404034 35547793720 44434742150 50655606051 53321690580 66652113225 67540808068 84426010085 88869484300 101311212102 106643381160 133304226450 135081616136 168852020170 177738968600 202622424204 253278030255 266608452900 337704040340 405244848408 422130050425 506556060510 533216905800 675408080680 844260100850 1013112121020 1266390151275 1688520201700 2026224242040 2532780302550 3377040403400 5065560605100 10131121210200