Search a number
-
+
20121011000200 = 23521124137949851
BaseRepresentation
bin1001001001100110010011…
…01101101001001110001000
32122020112211212000020201001
410210303021231221032020
510114130312304001300
6110443244223504344
74144460260401505
oct444631155511610
978215755006631
1020121011000200
116458300179610
12230b705a580b4
13b2c531a8a176
144d7c0d9764ac
1524d5d899216a
hex124cc9b69388

20121011000200 has 96 divisors (see below), whose sum is σ = 51245962146720. Its totient is φ = 7286371200000.

The previous prime is 20121011000161. The next prime is 20121011000303. The reversal of 20121011000200 is 200011012102.

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

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, 18444726 + ... + 19505125.

It is an arithmetic number, because the mean of its divisors is an integer number (533812105695).

Almost surely, 220121011000200 is an apocalyptic number.

20121011000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121011000200 is an abundant number, since it is smaller than the sum of its proper divisors (31124951146520).

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

20121011000200 is a wasteful number, since it uses less digits than its factorization.

20121011000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37950119 (or 37950110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20121011000200 its reverse (200011012102), we get a palindrome (20321022012302).

The spelling of 20121011000200 in words is "twenty trillion, one hundred twenty-one billion, eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 241 275 440 482 550 964 1100 1205 1928 2200 2410 2651 4820 5302 6025 9640 10604 12050 13255 21208 24100 26510 48200 53020 66275 106040 132550 265100 530200 37949851 75899702 151799404 189749255 303598808 379498510 417448361 758997020 834896722 948746275 1517994040 1669793444 1897492550 2087241805 3339586888 3794985100 4174483610 7589970200 8348967220 9145914091 10436209025 16697934440 18291828182 20872418050 36583656364 41744836100 45729570455 73167312728 83489672200 91459140910 100605055001 182918281820 201210110002 228647852275 365836563640 402420220004 457295704550 503025275005 804840440008 914591409100 1006050550010 1829182818200 2012101100020 2515126375025 4024202200040 5030252750050 10060505500100 20121011000200