Search a number
-
+
20101212011000 = 235343914577821
BaseRepresentation
bin1001001001000001011011…
…00110011111100111111000
32122011122202000201101102202
410210200231212133213320
510113314240233323000
6110430211434445332
74143156525642101
oct444405546374770
978148660641382
1020101212011000
11644a970162a1a
1223078bb293848
13b2a6c7c31943
144d6c922573a8
1524cd2a6cedd5
hex12482d99f9f8

20101212011000 has 64 divisors (see below), whose sum is σ = 47047558484160. Its totient is φ = 8038651920000.

The previous prime is 20101212010973. The next prime is 20101212011029. The reversal of 20101212011000 is 11021210102.

It is a super-2 number, since 2×201012120110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2102090 + ... + 6679910.

It is an arithmetic number, because the mean of its divisors is an integer number (735118101315).

Almost surely, 220101212011000 is an apocalyptic number.

20101212011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101212011000 is an abundant number, since it is smaller than the sum of its proper divisors (26946346473160).

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

20101212011000 is a wasteful number, since it uses less digits than its factorization.

20101212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582233 (or 4582219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20101212011000 its reverse (11021210102), we get a palindrome (20112233221102).

The spelling of 20101212011000 in words is "twenty trillion, one hundred one billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4391 8782 17564 21955 35128 43910 87820 109775 175640 219550 439100 548875 878200 1097750 2195500 4391000 4577821 9155642 18311284 22889105 36622568 45778210 91556420 114445525 183112840 228891050 457782100 572227625 915564200 1144455250 2288910500 4577821000 20101212011 40202424022 80404848044 100506060055 160809696088 201012120110 402024240220 502530300275 804048480440 1005060600550 2010121201100 2512651501375 4020242402200 5025303002750 10050606005500 20101212011000