Search a number
-
+
20111002133100 = 22352105361636257
BaseRepresentation
bin1001001001010011101010…
…01000110110001001101100
32122012121000022120010012120
410210221311020312021230
510113444313021224400
6110434511123032540
74143654244416114
oct444516510661154
978177008503176
1020111002133100
11645403445861a
122309791b0b750
13b2b5c82b69b8
144d7540586044
1524d1eee31ca0
hex124a7523626c

20111002133100 has 72 divisors (see below), whose sum is σ = 58188476563728. Its totient is φ = 5362874572800.

The previous prime is 20111002133081. The next prime is 20111002133113. The reversal of 20111002133100 is 133120011102.

It is a happy number.

It is a super-2 number, since 2×201110021331002 (a number of 27 digits) contains 22 as substring.

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 20111002133100.

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, 31290172 + ... + 31926428.

Almost surely, 220111002133100 is an apocalyptic number.

20111002133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111002133100 is an abundant number, since it is smaller than the sum of its proper divisors (38077474430628).

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

20111002133100 is a wasteful number, since it uses less digits than its factorization.

20111002133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741635 (or 741628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20111002133100 its reverse (133120011102), we get a palindrome (20244122144202).

The spelling of 20111002133100 in words is "twenty trillion, one hundred eleven billion, two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 105361 210722 316083 421444 526805 632166 636257 1053610 1264332 1272514 1580415 1908771 2107220 2545028 2634025 3160830 3181285 3817542 5268050 6321660 6362570 7635084 7902075 9543855 10536100 12725140 15804150 15906425 19087710 31608300 31812850 38175420 47719275 63625700 95438550 190877100 67036673777 134073347554 201110021331 268146695108 335183368885 402220042662 670366737770 804440085324 1005550106655 1340733475540 1675916844425 2011100213310 3351833688850 4022200426620 5027750533275 6703667377700 10055501066550 20111002133100