Search a number
-
+
121203000100 = 2252713108712253
BaseRepresentation
bin111000011100001000…
…0110000001100100100
3102120211211211100101201
41300320100300030210
53441210432000400
6131402504532244
711520344334220
oct1607020601444
9376754740351
10121203000100
1147446a2a986
121b5a6781084
13b5774bc250
145c1b017780
1532458d506a
hex1c38430324

121203000100 has 144 divisors (see below), whose sum is σ = 324029483008. Its totient is φ = 38320335360.

The previous prime is 121203000077. The next prime is 121203000119. The reversal of 121203000100 is 1000302121.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 9885574 + ... + 9897826.

Almost surely, 2121203000100 is an apocalyptic number.

121203000100 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 121203000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162014741504).

121203000100 is an abundant number, since it is smaller than the sum of its proper divisors (202826482908).

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

121203000100 is a wasteful number, since it uses less digits than its factorization.

121203000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 121203000100 its reverse (1000302121), we get a palindrome (122203302221).

The spelling of 121203000100 in words is "one hundred twenty-one billion, two hundred three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1087 1300 1820 2174 2275 4348 4550 5435 7609 9100 10870 12253 14131 15218 21740 24506 27175 28262 30436 38045 49012 54350 56524 61265 70655 76090 85771 98917 108700 122530 141310 152180 159289 171542 190225 197834 245060 282620 306325 318578 343084 353275 380450 395668 428855 494585 612650 637156 706550 760900 796445 857710 989170 1115023 1225300 1413100 1592890 1715420 1978340 2144275 2230046 2472925 3185780 3982225 4288550 4460092 4945850 5575115 7964450 8577100 9891700 11150230 13319011 15928900 22300460 26638022 27875575 53276044 55751150 66595055 93233077 111502300 133190110 173147143 186466154 266380220 332975275 346294286 372932308 466165385 665950550 692588572 865735715 932330770 1212030001 1331901100 1731471430 1864661540 2330826925 2424060002 3462942860 4328678575 4661653850 4848120004 6060150005 8657357150 9323307700 12120300010 17314714300 24240600020 30300750025 60601500050 121203000100